Question

write the median of the data 15.40, 40, 25, 16, 24, 32, 36, 12, 16, 19. 28​

Answer 1

Required answer:-

Total numbers = 12

Ascending order = 12 , 15 , 16 , 16 , 19 , 24 , 25 , 28 , 32 , 36 , 40

Sum of two middle numbers = 49 (24+25)

= 49/2

= 24. 5

Therefore 24.5 is the median of the number.

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Answer 2

Solution!!

The concept of median has to be used here. The data is given in the question. We have to arrange it in ascending order and then applying a suitable formula to find the median.

Observations = 15, 40, 40, 25, 16, 24, 32, 36, 12, 16, 19, 28

Now, let's arrange these observations in ascending order.

Observations = 12, 15, 16, 16, 19, 24, 25, 28, 32, 36, 40, 40

There are total 12 observations in number.

Total number of observations = 12

Now, let's apply the formula!

Median = ((n/2)th term + ((n/2) + 1)th term) ÷ 2

Median = ((12/2)th term + ((12/2) + 1)th term) ÷ 2

Median = (6th term + 7th term) ÷ 2

The 6th and 7th term in the observations are 24 and 25, respectively.

Median = (24 + 25) ÷ 2

Median = 49 ÷ 2

Median = 24.5