Finding the Mean from Graphical Representation
Here we will learn how to find the mean from graphical representation.
The ogive of the distribution of marks of 45 students is given below.
Find the mean of the distribution.
Solution:
The cumulative-frequency table is as given below.
Marks
Under 20
Under 40
Under 60
Under 80
Under 100
Number of Students
10
30
35
40
45
Writing in overlapping class intervals, the distribution is as below.
Marks
0 - 20
20 - 40
40 - 60
60 - 80
Under 100
Number of Students
10
20
5
5
5
The calculations are as given below.
|
Class Interval |
Class Mark (mi) |
Frequency (fi) |
mifi |
|
0 - 20 |
10 |
10 |
100 |
|
20 - 40 |
30 |
20 |
600 |
|
40 - 60 |
50 |
5 |
250 |
|
60 - 80 |
70 |
5 |
350 |
|
80 - 100 |
90 |
5 |
450 |
|
\(\sum f_{i}\) = 45 |
\(\sum m_{i}f_{i}\) = 1750 |
Therefore, mean A = \(\frac{\sum m_{i}f_{i}}{\sum f_{i}}\)
= \(\frac{1750}{45}\)
= 38.89
From Finding the Mean from Graphical Representation to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
5th Grade Highest Common Factor | HCF | GCD|Prime Factorization Method
Mar 24, 25 03:40 PM
The highest common factor (H.C.F.) of two or more numbers is the highest or greatest common number or divisor which divides each given number exactly. Hence, it is also called Greatest Common Divisor… -
5th Grade Factors and Multiples | Definitions | Solved Examples | Math
Mar 23, 25 02:39 PM
Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is… -
Adding 2-Digit Numbers | Add Two Two-Digit Numbers without Carrying
Mar 23, 25 12:43 PM
Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers. -
Worksheet on 12 Times Table | Printable Multiplication Table | Video
Mar 23, 25 10:28 AM
Worksheet on 12 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home. -
Vertical Subtraction | Examples | Word Problems| Video |Column Method
Mar 22, 25 05:20 PM
Vertical subtraction of 1-digit number are done by arranging the numbers column wise i.e., one number under the other number. How to subtract 1-digit number vertically?
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.