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
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