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Home » The following table shows the distribution of the heights of a group of a factory workers.
The following table shows the distribution of the heights of a group of a factory workers.
CBSE | Class 10 | Exercise 1 | Maths | Measures of Central Tendency | ML Aggarwal
The following table shows the distribution of the heights of a group of a factory workers.
Height ( in cm ) 150-155 155-160 160-165 165-170 170-175 175-180 180-185
No. of workers 6 12 18 20 13 8 6

(i) Determine the cumulative frequencies.

(ii) Draw the cumulative frequency curve on a graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10 workers on the other.

(iii) From your graph, write down the median height in cm.

Solution:

(i) We write the given data in cumulative frequency table.

Height in cm No of workers f Cumulative frequency
150-155 6 6
155-160 12 18
160-165 18 36
165-170 20 56
170-175 13 69
175-180 8 77
180-185 6 83

(ii)Plot the points (155, 6), (160, 18), (165, 36), (170, 56), (175, 69), (180, 77) and (185, 83) on the graph.

Join the points with the free hand. We get an ogive as shown:

 

i

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