Question

The list shows the number of stories in the 11 tallest buildings

in Springfield. Find the median and mode of the data.
40, 38, 40, 37, 33, 30, 20, 24, 21, 17, 19

Answer 1

The median and mode of the given data is 30 and 32 respectively.

Explanation:

Given,

The number of stories in 11 buildings are 17,19,20,21,24,30,33,37,38,40,40

To find the median and mode of the data.

Formula

Mean = sum of the data ÷ number of terms

If the number of term is odd, the median =
`(n+1)/(2)` th term

Mode = 3 Median - 2 mean

Now,

Mean = (17+19+20+21+24+30+33+37+38+40+40)÷11 = 29

Median =
`(11+1)/(2)` th term = 6th term = 30

Hence,

Mode = 3×30-2×29

= 90-58 = 32