Question

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

Answer 1

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

Step-by-step 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 = $\frac{n+1}{2}$ th term

Mode = 3 Median - 2 mean

Now,

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

Median = $\frac{11+1}{2}$ th term = 6th term = 30

Hence,

Mode = 3×30-2×29

= 90-58 = 32