The frequency of the weights of the student (in kg) of 30 students are given as 39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39,41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26. Which among the following choices have the highest frequency?

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20-25

25-30

30-35

35-40

answer is D.

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Detailed Solution

It is given the values of 30 student’s weights.
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39,41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.
We have to find the class with the highest frequency.
In the range of 25 - 30 lies 26, 29.
So the frequency of the class 25 - 30 is 2.
In the range of 30 - 35 lies 30, 31, 31, 32, 33, 33, 34.
So the frequency of the class 30 - 35 is 7.
In the range of 35 - 40 lies 35, 36, 36, 37, 37, 38, 38, 38, 39, 39, 39.
So the frequency of the class 35 - 40 is 11.
In the class 40 - 45 lies 40, 41, 41, 42, 43, 43, 44.
So the frequency of the class 40 - 45 is 7.
In the class 45 - 50 lies 45, 46, 46.
So the frequency of the class 45 - 50 is 3.
Sketch a frequency distribution table. Question Image