Math Blog
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Newly added pages can be seen from this page. Keep visiting to this page so that you will remain updated.en-usMathTue, 15 Jan 2019 16:56:53 -0500Tue, 15 Jan 2019 16:56:53 -0500math-only-math.comJan 15, Lines Joining the Extremities of the Base of an Isosceles Triangle
https://www.math-only-math.com/straight-lines-joining-the-extremities-of-the-base-of-an-isosceles-triangle.html90841070873238102c830d64747bf4d8Here we will show that the straight lines joining the extremities of the base of an isosceles triangle to the midpoints of the opposite sides are equal. Solution: Given: In ∆XYZ, XY = XZ, M and N are the midpoints of XY and XZ respectively.Tue, 15 Jan 2019 16:56:51 -0500Jan 10, Problem on Two Isosceles Triangles on the Same Base | Proof | Diagram
https://www.math-only-math.com/problem-on-two-isosceles-triangles-on-the-same-base.html25fce0483d3d3ae7bb12c1b608c46db8Here we will prove that ∆PQR and ∆SQR are two isosceles triangles drawn on the same base QR and on the same side of it. If P and S be joined, prove that each of the angles ∠QPR and ∠QSR will be divided by the line PS into two equal parts.Thu, 10 Jan 2019 16:36:07 -0500Jan 9, Problems on Properties of Isosceles Triangles | Find x° and y°
https://www.math-only-math.com/problems-on-properties-of-isosceles-triangles.html75bbd1c3208f5102ffcfaa27ddec6a6dHere we will solve some numerical problems on the properties of isosceles triangles Find x° from the given figures. In ∆XYZ, XY = XZ. Therefore, ∠XYZ = ∠XZY = x°. Now, ∠YXZ + ∠XYZ + XZY = 180° ⟹ 84° + x° + x° = 180° ⟹ 2x° = 180° - 84° ⟹ 2x° = 96°Wed, 9 Jan 2019 17:34:31 -0500Jan 7, Three Angles of an Equilateral Triangle are Equal | Axis of Symmetry
https://www.math-only-math.com/three-angles-of-an-equilateral-triangle.html2e421cde09b3209f6da124228ce7a00fHere we will prove that if the three angles of a triangle are equal, it is an equilateral triangle. Given: In ∆XYZ, ∠YXZ = ∠XYZ = ∠XZY. To prove: XY = YZ = ZX. Proof: Statement 1. XY = ZX. 2. XY = YZ. 3. XY = YZ = ZX. (Proved) Reason 1. Sides opposite to equal angles ∠XZYMon, 7 Jan 2019 13:13:36 -0500Jan 5, Sides Opposite to the Equal Angles of a Triangle are Equal | Diagram
https://www.math-only-math.com/sides-opposite-to-the-equal-angles-of-a-triangle-are-equal.html1eb193fbbb41ede3607c33cc6cc025d4Here we will prove that the sides opposite to the equal angles of a triangle are equal. Given: In ∆ABC, ∠XYZ = ∠XZY. To prove: XY = XZ. Construction: Draw the bisector XM of ∠YXZ so that it meets YZ at M. Proof: Statement 1. In ∆XYM and ∆XZM, (i) ∠XYM = XZM (ii) ∠YXM = ∠ZXMSat, 5 Jan 2019 15:16:59 -0500Jan 3, The Three Angles of an Equilateral Triangle are Equal | With Diagram
https://www.math-only-math.com/the-three-angles-of-an-equilateral-triangle-are-equal.html83aa43b02c0d02be891e3a333d04daa7Here we will prove that the three angles of an equilateral triangle are equal. Given: PQR is an equilateral triangle. To prove: ∠QPR = ∠PQR = ∠ PRQ. Proof: Statement 1. ∠QPR = ∠PQR 2. ∠PQR = ∠ PRQ. 3. ∠QPR = ∠PQR = ∠ PRQ. (Proved). Reason 1. Angles opposite to equal sides QRThu, 3 Jan 2019 17:19:18 -0500Jan 2, Equal Sides of an Isosceles Triangle are Produced, the Exterior Angles
https://www.math-only-math.com/equal-sides-of-an-isosceles-triangle.htmla3c095c9319d6d02b9d55a1d504b1b1aHere we will prove if the equal sides of an isosceles triangle are produced, the exterior angles are equal. Given: In the isosceles triangle PQR, the equal sides PQ and PR are produced to S and T respectively. To prove: ∠RQS = ∠QRT. Proof: Statement 1. ∠PQR = ∠PRQ 2. ∠RQSWed, 2 Jan 2019 14:23:00 -0500Jan 1, Angles Opposite to Equal Sides of an Isosceles Triangle are Equal
https://www.math-only-math.com/angles-opposite-to-equal-sides-of-an-isosceles-triangle-are-equal.htmld8f4149932935093a97f036d8997d0e8Here we will prove that in an isosceles triangle, the angles opposite to the equal sides are equal. Solution: Given: In the isosceles ∆XYZ, XY = XZ. To prove ∠XYZ = ∠XZY. Construction: Draw a line XM such that it bisects ∠YXZ and meets the side YZ at M. Proof: StatementTue, 1 Jan 2019 16:41:15 -0500Dec 31, Application of Congruency of Triangles | Isosceles triangle Proved
https://www.math-only-math.com/application-of-congruency-of-triangles.htmle3caaa91c392d548571f78342909ef46Here we will prove some Application of congruency of triangles. PQRS is a rectangle and POQ an equilateral triangle. Prove that SRO is an isosceles triangle. Solution: Given: PQRS is a rectangle. POQ is an equilateral triangle to prove ∆SOR is an isosceles triangle. Proof:Mon, 31 Dec 2018 15:47:37 -0500Dec 28, Prove that the Bisectors of the Angles of a Triangle Meet at a Point
https://www.math-only-math.com/bisectors-of-the-angles-of-a-triangle-meet-at-a-point.html2850dc977aeb1d1e1cbf8fd4225a33dbHere we will prove that the bisectors of the angles of a triangle meet at a point. Solution: Given In ∆XYZ, XO and YO bisect ∠YXZ and ∠XYZ respectively. To prove: OZ bisects ∠XZY. Construction: Draw OA ⊥ YZ, OB ⊥ XZ and OC ⊥ XY. Proof: Statement 1. In ∆XOC and ∆XOBFri, 28 Dec 2018 17:45:43 -0500Dec 27, Point on the Bisector of an Angle | Corresponding Parts of a Triangles
https://www.math-only-math.com/point-on-the-bisector-of-an-angle.html3c7d75335af6158ef3c26b7858d4c5ceHere we will prove that any point on the bisector of an angle is equidistant from the arms of that angle. Solution: Given OZ bisects ∠XOY and PM ⊥ XO and PN ⊥ OY. To prove PM = PN. Proof: Statement 1. In ∆OPM and ∆OPN, (i) ∠MOP = ∠NOP. (ii) ∠OMP = ∠ONP = 90°Thu, 27 Dec 2018 17:08:14 -0500Dec 27, Prove that an Altitude of an Equilateral Triangle is also a Median
https://www.math-only-math.com/altitude-of-an-equilateral-triangle-is-also-a-median.html7708820dac7a8a46ae1c2a722167fdfeHere we will prove that an altitude of an equilateral triangle is also a median. In a ∆PQR, PQ = PR. Prove that the altitude PS is also a medina. Solution: Given in ∆PQR, PQ = PR and PS ⊥ QR.To prove PS is a median, i.e., QS = SR Proof: Statement 1. In ∆PQS and ∆PRS,Thu, 27 Dec 2018 17:07:08 -0500Dec 24, Problems on Congruency of Triangles |Prove Two Triangles are Congruent
https://www.math-only-math.com/problems-on-congruency-of-triangles.html37d86899d03775c1b5a9a7132b36954dHere we will learn how to prove different types of problems on congruency of triangles. 1. PQR and XYZ are two triangles in which PQ = XY and ∠PRQ = 70, ∠PQR = 50°, ∠XYZ = 70°, and ∠YXZ = 60°. Prove that the two triangles are congruent. Solution: In a triangle, the sum ofMon, 24 Dec 2018 15:21:04 -0500Dec 20, Criteria for Congruency | SAS| AAS | SSS | RHS | CPCTC
https://www.math-only-math.com/criteria-for-congruency.html8ac42c8ed16d064fc029ac27becc947eHere we will learn different criteria for congruency of triangles. I. SAS (Side-Angle-Side) Criterion: If two triangles have two sides of one equal to two sides of the other, each to each, and the angles included by those sides are equal then the triangles are congruent.Thu, 20 Dec 2018 16:33:57 -0500Dec 19, Worksheet on Graph of Linear Relations in x, y | Draw the Graph
https://www.math-only-math.com/worksheet-on-graph-of-linear-relations-in-x-y.htmldce9e362d09b852a9cde9acb70c5f43cIn worksheet on graph of linear relations in x, y we will plot different types of equation in the x-y plane. 1. Draw the graph for each of the following: (i) x = 2 (ii) x = -3 (iii) y = 4 (iv) y + 1 = 0 (v) 2x + 3 = 0 2. For each of the following, take three ordered pairWed, 19 Dec 2018 14:43:44 -0500Dec 19, Congruency of Triangles | Definition of Congruent Triangles
https://www.math-only-math.com/congruency-of-triangles.html7d73ac65c2b0db918b29b0854567fc95Two triangles are said to be congruent if they are exactly alike in all respects. If one triangle is placed on the other, the two triangles will coincide exactly with each other, i.e., the vertices of the first triangle will coincide with those of the second. In a pair ofWed, 19 Dec 2018 14:34:26 -0500Dec 16, Worksheet on Slope and Y-intercept | Determine the Slope & Y-intercept
https://www.math-only-math.com/worksheet-on-slope-and-y-intercept.html9fe6a8ed4091b20552977608da1d3ef8In worksheet on slope and y-intercept we will get different types of equations. On understanding slope and y-intercept of graphs of linear relations in x,y. 1. Determine the slope and y-intercept of the line graph for each of the following relations in x, y.Sun, 16 Dec 2018 16:47:19 -0500Dec 13, Worksheet on Plotting Points in the Coordinate Plane |Coordinate Graph
https://www.math-only-math.com/worksheet-on-plotting-points-in-the-coordinate-plane.htmle70b0a7598f390c63e588fe56693e854In worksheet on plotting points in the coordinate plane we will plot different types of co-ordinate points in the x-y plane. 1. Plot the points in the coordinate plane. (i) (6, -2) (ii) (-3, 7) (iii) (2.5, 4.5) (iv) (-5, -3.5)Thu, 13 Dec 2018 16:25:07 -0500Dec 12, Problems on Slope and Y-intercept | Determine the Slope & Y-intercept
https://www.math-only-math.com/problems-on-slope-and-y-intercept.html504c77e98b186c9b748ae603ef2e57bfHere we will learn how to solve different types of problems on slope and y-intercept. 1. (i) Determine the slope and y-intercept of the line 4x + 7y + 5 = 0 Solution: Here, 4x + 7y + 5 = 0 ⟹ 7y = -4x – 5 ⟹ y = -4/7x - 5/7Wed, 12 Dec 2018 17:33:14 -0500Dec 10, Problems on Plotting Points in the x-y Plane | Plot the Points
https://www.math-only-math.com/problems-on-plotting-points-in-the-x-y-plane.html7cc19352c6f9b7bf0714dec3fc39e90dHere we will learn how to solve different types of problems on plotting points in the x-y plane. 1. Plot the points in the same figure. (i) (3, -1), (ii) (-5, 0), (iii) (3, 4.5), (iv) (-1, 6), (v) (-2.5, -1.5) Solution: Draw two mutually perpendicular lines X’OX and Y’OYMon, 10 Dec 2018 16:38:32 -0500Dec 9, Drawing Graph of y = mx + c Using Slope and y-intercept | Examples
https://www.math-only-math.com/drawing-graph-of-y-equals-to-mx-plus-c-using-slope-and-y-intercept.htmled9e2877ad97ba4be793caeacc2e555aHere we will learn how to draw the graph of a linear relation between x and y is a straight line. So, the graph of y = mx + c is a straight line. We know its slope is m and y-intercept is c. By knowing the slope and y-intercept for a line graph, the graph can be easily drawnSun, 9 Dec 2018 17:14:36 -0500Dec 8, Graph of Standard Linear Relations Between x, y | Graph of y = x
https://www.math-only-math.com/graph-of-standard-linear-relations-between-x-y.html9e7274f614942babd53897bba96690adHere we will learn how to draw the graph of standard linear relations between x, y. Graph of x = 0 Some of the orders pairs of values of (x, y) satisfying x = 0 are (0, 1), (0, 2), (0, -1), etc. All the points corresponding to these ordered pairs are on the y-axis becauseSat, 8 Dec 2018 15:35:01 -0500Dec 7, Slope of the Graph of y = mx + c | What is the Graph of y=mx-c?
https://www.math-only-math.com/slope-of-the-graph-of-y-equals-to-mx-plus-c.html83d25d64666293817e26712e43d57f68The graph of y = mx + c is a straight line joining the points (0, c) and -c/m Let M = (-c/m, 0) and N = (0, c) and ∠NMX = θ. Then, tan θ is called the slope of the line which is the graph of y = mx + c. Now, ON = c and OM = c/m. Therefore, in the right-angled ∆MON, tan θ = Fri, 7 Dec 2018 18:02:26 -0500Dec 7, y-intercept of the Graph of y = mx + c | How to Find y-intercept?
https://www.math-only-math.com/y-intercept-of-the-graph-of-y-equals-to-mx-plusc.htmlc00166b8a27297cee644bc7dbafe1d2fIf the graph of y = mx + c cuts the y-axis at P then OP is the y-intercept of the graph, where O is the origin. If OP is in the positive direction of the y-axis, the intercept is positive. But if OP is in the negative direction of the y-axis, the intercept is negative.Fri, 7 Dec 2018 17:56:09 -0500Nov 28, Coordinate Geometry Graph | Graph of Linear Relations Between x, y
https://www.math-only-math.com/coordinate-geometry-graph.html99a8225092cbf975e6b3c0c14600074eHere we will learn how to draw Coordinate geometry Graph. When two variables x, y are related, the value(s) of one variable depends on the value(s) of the other variable. Let x, y be two variables related by 9x - 3y + 4 = 0. Then, y = 3x + \(\frac{4}{3}\).Wed, 28 Nov 2018 17:15:45 -0500Nov 26, Plotting a Point in Cartesian Plane | Determine the Quadrant
https://www.math-only-math.com/plotting-a-point-in-cartesian-plane.html06dd4f1f03ae5596980ff5f58f148c71If the coordinates (x, y) of a point are given, one can plot in the Cartesian x-y plane by taking the following steps. Step I: Observe the signs of the coordinates and determine the quadrant in which the point should be plotted. Step II: Take a rectangular Cartesian frame ofMon, 26 Nov 2018 17:17:29 -0500Nov 25, Quadrants and Convention for Signs of Coordinates | Four Quadrants
https://www.math-only-math.com/quadrants-and-convention-for-signs-of-coordinates.html22c70d5a9851def937ca91828f87795dThe x-axis (XOX’) and y-axis (YOY’) divided the x-y plane in four regions called quadrants. The region of the plane falling in the angle XOY is called the first quadrant. The region of the plane falling in the angle X’OY is called the second quadrant. The region of the planeSun, 25 Nov 2018 16:50:07 -0500Nov 23, Rectangular Cartesian Coordinates of a Point | Signs of Coordinates
https://www.math-only-math.com/rectangular-cartesian-coordinates-of-a-point.html785d87cb8b4d5fd0528503ca63395a98Take two intersecting lines XOX’ and YOY” in a plane which cut at O and are perpendicular to each other. Let P be a point in the plane. Draw perpendiculars from P to the line XoX’ and YoY’. Let them be PL and PM. Measure PL and PM in the same scale in mm, cm or m, etc. Fri, 23 Nov 2018 17:43:07 -0500Nov 23, Coordinates of a Point | Cartesian Coordinate System | Ordered Pair
https://www.math-only-math.com/coordinates-of-a-point-9th-grade.html84640092ed455412699a153d611ce542In elementary plane geometry a point is described by given it a name, such as P, Q or R. But in coordinate geometry, a point is described by its position in the plane. The position of a point is given by an ordered pair (a, b) of real numbers. Fri, 23 Nov 2018 13:53:05 -0500Nov 21, Ordered Pair | First Coordinate | Second Entry or Second Coordinate
https://www.math-only-math.com/ordered-pair-9th-grade.html5f7cd2ef70bb0b8437217f414dc046efLet a and b be two real numbers. (a, b) is called a pair of real numbers a, b. But (a, b) is called an order pair if (a, b) is different from (b, a). In the ordered pair (a, b), a is called the first entry or first coordinate and b is called the second entry or secondWed, 21 Nov 2018 15:06:39 -0500Nov 19, Independent Variables and Dependent Variables | Variable | Formula
https://www.math-only-math.com/independent-and-dependent-variables.html1eafd8904181fd09c8157fe35055420aIf x stands for any of the real numbers from the set R then x is a variable over R. For example, if x is the over number in an one-day international cricket match of 50 overs then x is a variable over the set {1, 2, 3, 4, ...., 48, 49, 50}. Suppose, x is the side of a squareMon, 19 Nov 2018 18:54:11 -0500Nov 19, Class Interval | Overlapping and Nonoverlapping Class Intervals
https://www.math-only-math.com/class-interval.html7b3aa349616306b08ce7f9dd58bc22dfIn order to express raw data in the form of grouped data we use classes (or class intervals) for the values of the variables. Depending upon the method of grouping data, class intervals can be divided into two categories. (i) Overlapping Class Intervals: If the values of aMon, 19 Nov 2018 16:15:28 -0500Nov 15, Tally Marks | Tally Mark Represents Frequency | Use of Tally Marks
https://www.math-only-math.com/tally-marks.htmlc54c6975b5d143e2b129d44437fa08adWe will discuss here how to use Tally marks. To count the number of times a value of the variable appears in a collection of data, we use tally mark ( / ). Thus tally mark represents frequency. Observe the tally marks and the corresponding frequencies:Thu, 15 Nov 2018 17:12:12 -0500Nov 14, Class Boundaries |How to Find Class Boundaries? |Statistics Dictionary
https://www.math-only-math.com/class-boundaries.html07d72e9cc41e11ef244037fcb2a1f9eeHere we will learn class boundaries or actual class limits For overlapping class intervals, the class limits are also called class boundaries or actual class limits. In the case of nonoverlapping class intervals, the class limits are different from class boundaries.Wed, 14 Nov 2018 14:58:17 -0500Nov 13, Cumulative Frequency | Frequency Distribution | Class Interval
https://www.math-only-math.com/cumulative-frequency.html040a6cc72bfc971ccc00f033a4323ddeHere we will learn cumulative frequency. The cumulative frequency of a value of a variable is the number of values in the collection of data less than or equal to the value of the variable. For example: Let the raw data be 2, 10, 18, 25, 15, 16, 15, 3, 27, 17, 15, 16.Tue, 13 Nov 2018 17:41:34 -0500Nov 13, Constructing Frequency Distribution Tables | Classified / Unclassified
https://www.math-only-math.com/constructing-frequency-distribution-tables.html75576b035f355458417ba6a168605df8Here we will learn how to construct frequency distribution tables. Following is a collection of raw data showing the ages (in years) of 30 students of class. 14, 15, 14, 16, 15, 13, 17, 16, 17, 16, 17, 12, 13, 12, 14, 15, 16, 15, 18, 12, 17, 17, 18, 13, 14, 13, 16, 15Tue, 13 Nov 2018 17:11:29 -0500Nov 3, Nonoverlapping Class Intervals into Overlapping Class Intervals
https://www.math-only-math.com/nonoverlapping-class-intervals-into-overlapping-class-intervals.htmlbb0d12cf4b8b063c7f4302d329785a60We will learn here how to convert nonoverlapping class intervals into overlapping class intervals. Conversion of Nonoverlapping Class intervals into Overlapping Class intervals: If the nonoverlapping class intervals are a - b, c - d, e - f, etc., the gaps between theSat, 3 Nov 2018 18:21:35 -0400Nov 1, Class Mark | Class Mark Statistics | What is Class Mark?
https://www.math-only-math.com/class-mark.html7888cdc10ed3bc69250fcc2a3061423eHere we will learn class mark. The class mark of a class interval = (Actual lower limit + Actual upper limit)/2 = (Sum of Class Boundaries)/2. For Example: The class mark of the overlapping class interval 10 – 20 = (10 + 20)/2 = 15.Thu, 1 Nov 2018 18:11:35 -0400Nov 1, Class Size Statistics | What is Class Size? | Statistical Data
https://www.math-only-math.com/class-size.html20a391612208951db80feeb98b1c45dcHere we will learn class size. The class size of an overlapping or nonoverlapping class interval = actual upper limit – actual lower limit = difference of class boundaries. For example: The class size of the overlapping interval 10 - 20 = Actual upper limit – actual lowerThu, 1 Nov 2018 15:56:03 -0400Oct 28, Class Limits |What is the Class Limit in Statistics?|Find Class Limits
https://www.math-only-math.com/class-limits.htmlfeca8b1b790454b4f47c7ce41b78a784We will discuss here about the class limits. Let the class intervals for some grouped data 5 – 15, 15 – 30, 30 – 45, 45 – 60, etc. Here, all the class intervals are overlapping and the distribution is continuous. 5 & 15 are called the class limits of the class intervalSun, 28 Oct 2018 16:53:27 -0400Oct 25, Frequency Distribution | Unclassified Frequency Distribution
https://www.math-only-math.com/frequency-distribution-a.html9c509b5c9a3941b1a9bde75ae1254aeeIn the above Table 1 we have an example of unclassified frequency distribution. It shows the number of students obtaining certain marks. For example, the table shows 4 marks were attained by 3 students, 20 marks were obtained by 7 students, etc. So the frequency of 4 marksThu, 25 Oct 2018 18:53:32 -0400Oct 12, Worksheet on Median of Ungrouped Data | Find the Median of Collection
https://www.math-only-math.com/worksheet-on-median-of-ungrouped-data.htmlffed5a5a2c42bcb3f401156a3366f954Practice the questions given in the worksheet on median of ungrouped data. 1. Find the median of the following. (i) The first seven even natural numbers (ii) 5, 0, 2, 4, 3 (iii) 25, 22, 28, 23, 21, 27, 25, 24, 20 2. Find the median of the following. The first six odd naturalFri, 12 Oct 2018 16:48:18 -0400Oct 12, Worksheet on Mean of Ungrouped Data | Find the Mean Weight/Expenditure
https://www.math-only-math.com/worksheet-on-mean-of-ungrouped-data.html7d0a20b36bebf021113d852dc84044b5Practice the questions given in the worksheet on mean of ungrouped data. 1. Find the mean of the following. (i) The first five positive integers. (ii) The first six even natural numbers. 2. Find the mean of the following data. (i) 7, 9, 3, 5, 8, 6 (ii) 4, 11, 0, 5, 10Fri, 12 Oct 2018 15:26:46 -0400Sep 29, Problems on Median of Ungrouped Data|Ungrouped Data to Find the Median
https://www.math-only-math.com/problems-on-median-of-ungrouped-data.html1f6dabb992155c98cae2c8954693f2c4Here we will learn how to solve the different types of problems on median of ungrouped data. 1. The heights (in cm) of 11 players of a team are as follows: 160, 158, 158, 159, 160, 160, 162, 165, 166, 167, 170. The number of variates = 11, which is odd. Therefore, median =Sat, 29 Sep 2018 16:19:12 -0400Sep 28, Problems on Mean of Ungrouped Data | Ungrouped Data to Find the Mean
https://www.math-only-math.com/problems-on-mean-of-ungrouped-data.html44cfd4bd0d2563ce3c8905f37474f293Here we will learn how to solve the different types of problems on mean of ungrouped data. 1. (i) Find the mean of 6, 10, 0, 7, 9. (ii) Find the mean of the first four odd natural numbers. Solution: (i) We know that the mean of five variates Fri, 28 Sep 2018 16:28:57 -0400Sep 25, Median of Raw Data |The Median of a Set of Data|How to Calculate Mean?
https://www.math-only-math.com/median-of-raw-data.html91eca1a97d8b2c9bd0f6dd101791aa61The median of raw data is the number which divides the observations when arranged in an order (ascending or descending) in two equal parts. Method of finding median Take the following steps to find the median of raw data. Step I: Arrange the raw data in ascendingTue, 25 Sep 2018 20:10:55 -0400Sep 25, Mean of Ungrouped Data | Mean Of Raw Data | Mean of Arrayed Data
https://www.math-only-math.com/mean-of-ungrouped-data.htmlcb025bd8d7f0ae6db885204d9e5eb195The mean of data indicate how the data are distributed around the central part of the distribution. That is why the arithmetic numbers are also known as measures of central tendencies. Mean Of Raw Data: The mean (or arithmetic mean) of n observations (variates)Tue, 25 Sep 2018 19:05:20 -0400Sep 22, Frequency of the Statistical Data|Frequency of Set of Statistical Data
https://www.math-only-math.com/frequency-of-the-statistical-data.html7850dfc3087a3346c0829cc6e9368e67The frequency of a value of a variable is the number of times it appears in a collection of data. Example: What is the frequency of 12 in the following data? Solution: 12 appears thrice in the collection. So, the frequency of 12 is 3. Solved Example: The weights (in kg) ofSat, 22 Sep 2018 18:36:41 -0400Sep 20, Range of the Statistical Data | Range of a Set of Statistical Data
https://www.math-only-math.com/range-of-the-statistical-data.html7894037b8351af4e975265798a088c5aThe difference between the greatest and the least values of a variable in a collection of data is called the range of the data. For Example: In collection A, the greatest value of marks obtained is 90 while the least value of the same is 4. So, the range of the data = 90 - 4Thu, 20 Sep 2018 18:41:11 -0400Sep 20, Statistical Variable |Variables in Statistics|Variables and Statistics
https://www.math-only-math.com/statistical-variable.html854467b75d5f8b711ff6f4309dc4ad76The quantity whose different values during observation constitute the collection of data is called a statistical variable. In collection A, the marks obtained by the students is a variable. If we denote the marks obtained by x then x is a variable in the collection.Thu, 20 Sep 2018 16:49:26 -0400Sep 19, Representation of Data | Raw Data | Arrayed Data | Grouped Data
https://www.math-only-math.com/representation-of-data.html9348f731bbbe61baa40832d5be44b20eCollection A (shown below) represents the marks obtained by 50 students in a test of 100 marks. In the collection above, 80, 70, etc., are called the terms of the collection. Depending on the form of expression, data may be raw (i.e., ungrouped) or arrayed. I. Raw Data:Wed, 19 Sep 2018 18:51:39 -0400Sep 17, Statistics and Statistical Data | Sample or Representative Data
https://www.math-only-math.com/statistics-and-statistical-data.htmlbc3a19648709cb82356a8254ae9ad61cStatics is that branch of mathematic which deals with the collection, classification, representation, analysis and interpretation on numerical data. The study of statistics started nearly 2000 years ago. Today statistics holds an important place in the fields of economicsMon, 17 Sep 2018 15:51:08 -0400Sep 16, Problems on Cumulative-Frequency Curve | Problems on Ogive Graph
https://www.math-only-math.com/problems-on-cumulative-frequency-curve.html2179603055af55690f9e177de1678238We will discuss here some of the problems on frequency polygon. The monthly salaries of 55 workers of a factory are displayed in the following ogive. Answer the following. (i) How many workers have a monthly salary UNDER $ 4000? (ii) How many workers have a monthly salarySun, 16 Sep 2018 16:50:28 -0400Sep 13, Problems on Frequency Polygon | Frequency Polygon Examples
https://www.math-only-math.com/problems-on-frequency-polygon.html0eb5ee24ed7762941d11794ec0a077c7We will discuss here some of the problems on frequency polygon. 1. The frequency polygon of a frequency distribution is shown below. Answer the following about the distribution from the histogram. (i) What is the frequency of the class interval whose class mark is 15?Thu, 13 Sep 2018 17:32:29 -0400Sep 11, Problems on Histogram | Reading Histograms | Histograms Examples
https://www.math-only-math.com/problems-on-histogram.html91f7dc3347e8622edb79ed87d169840aWe will discuss here some of the problems on histogram. The histogram for a frequency distribution is given below. (i) What is the frequency of the class interval 15 – 20? (ii) What is the class intervals having the greatest frequenciey? (iii) What is the cumulativeTue, 11 Sep 2018 19:24:18 -0400Sep 10, Cumulative-Frequency Curve | Ogive | Method of Constructing on Ogive
https://www.math-only-math.com/cumulative-frequency-curve.html57666fe0b662b8af82978230d396701bGropu data are also represented by a curve called ogive or cumulative-frequency curve. As the name suggests, in this representation cumulative frequencies of different class intervals play an important role. Method of Constructing on Ogive: Prepare a frequency-distributionMon, 10 Sep 2018 18:39:14 -0400Aug 28, Method of Constructing Frequency Polygon with the Help of Class Marks
https://www.math-only-math.com/frequency-polygon-with-the-help-of-a-class-marks.htmlcf9a47a696862446b0a9573afa32024aWe will discuss about the method of constructing a frequency polygon with the help of a class marks. Step I: Prepare a frequency-distribution table overlapping intervals. Step II: Find the class marks of the class intervals and locate them on the horizontal axisTue, 28 Aug 2018 19:23:50 -0400Aug 25, Method of Constructing a Frequency Polygon with the Help of Histogram
https://www.math-only-math.com/frequency-polygon-with-the-help-of-a-histogram.html54c9051684982c3c04d35cb02855f44bStep I: Draw the histogram for the frequency distribution as explained above. Step II: Locate the midpoint of the top horizontal side of each rectangle in the histogram. Step III: Locate the middle points on the horizontal axis of two imaginary intervals of common size, oneSat, 25 Aug 2018 16:47:55 -0400