Monthly pocket money of 50 students of a class is the following distribution: Pocket money (inRs) 100-125 125-150 150-175 175-200 200-225 No of students 7 14135 11 Find the mean and mode of the data.
Answers
Mean = 162 & Mode = 146.875 of Monthly pocket money of 50 students of a class
Step-by-step explanation:
Class f Class Mean u =(mean - 162.5)/25 f * u
100 - 125 7 112.5 -2 -14
125 - 150 14 137.5 -1 -14
150 - 175 13 162.5 0 0
175 - 200 5 187.5 1 5
200 - 225 11 212.5 2 22
Total 50 -1
Mean = 162.5 + 25 * (-1)/50
= 162.5 - 0.5
= 162
Mode lies in 125 - 150
Mode = 125 + 25 * (14 - 7)/(14 - 7 + 14 - 13)
= 125 + 25 * 7/ 8
= 125 + 21.875
= 146.875
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