The following table gives the daily income of 50 workers of a factory:
Daily income (in) 100-120 120-140 140-160 160-180 180-200
Number of workers
I 8 I 6 I 10
Find the mean, mode and median of the above data.
Answers
Mean = 145.2 , Median = 138.57 & Mode = 125
Step-by-step explanation:
Class Mean Frequency cf Class mean * Frequency
100-120 110 12 12 1320
120-140 130 14 26 1820
140-160 150 8 34 1200
160-180 170 6 40 1020
180-200 190 10 50 1900
Total 50 7260
Mean = 7260/50 = 145.2
Median 50/2 = 25 lies 120-140
Median = 120 + 20 * ( 25 - 12)/14
= 120 + 18.57
= 138.57
Max frequency 14 lies in 120-140
Mode = 120 + 20 *( 14 - 12) /( 14 - 12 + 14 - 8)
= 120 + 5
= 125
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Answer:
Correct answer hopefully it helps you