Worksheet on Estimating Median and the Quartiles using Ogive

In worksheet on estimating median and the quartiles using ogive we will solve various types of practice questions on measures of central tendency. Here you will get 4 different types of questions on estimating median and the quartiles using ogive.

1. Using the data given below, construct the cumulative-frequency table and draw an ogive. From the given determine the median.

Determine the Median

2. The table given below shows the monthly salary of some employeed of a company, the lowest salary being $6,500.

Salary

(in Dollar)

Under

7000

Under

7500

Under

8000

Under

8500

Under

9000

Under

9500

Under

10000

No. of Employees

10

18

22

25

17

10

8

(i) Use the table to to form its cumulative-frequency curve.

Take 2 cm = $ 500, starting the ogive at $6500 on the x-axis, and

        2 cm = 10 employees on the y-axis.

(ii) Use the graph to write down the median salary in rupees.


3. A frequency distribution of lengths of sticks in a bundle is given below.


Class mark (in cm)

5

15

25

35

45

55

65

Frequency

10

17

12

9

11

18

7


Prepare a classified frequency distribution. Display it by an ogive and use it to find the median length of the sticks.


4. The following histogram displays a frequency distribution.

Frequency Distribution Histogram

Draw an ogive of the distribution and estimate the median.


Answers on Worksheet on Estimating Median and the Quartiles using Ogive are given below to check the exact answers of the questions. 

Answers


1.


Marks

Under

10

Under

20

Under

30

Under

40

Under

50

Under

60

Under

70

Under

80

No. of Workers

3

11

23

37

47

53

58

60


Median = 35 marks


2. (ii) $8,100


3.


Class interval (in cm)

0 - 10

10 - 20

20 - 30

30 - 40

40 - 50

50 - 60

60 - 70

Frequency

10

17

12

9

11

18

7


Median = 33 cm


4. 69





10th Grade Math

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