# 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.

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. 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