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Weights of parcels in a transport office are given below. If the mean weight of the frequency distribution is 85kg, find the value of ‘x’ and also median for the data

Weights in kg (x) 50 65 75 90 110 120
No of students (f) 25 34 38 x 47 16

1 Answer

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Best answer

13,400 + 90x = 13,600 + 85x 

90x – 85x = 13,600-13,400 

5x = 200 ⇒ x = 40 

Median = N = 160 + 40 

= 200 (even number)

= (N/2 + 1)th = 101th number

∴ Frequency of 101 item is = 90 

Median = 90

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