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 = [tex]\frac{n+1}{2}[/tex] th term
Mode = 3 Median - 2 mean
Now,
Mean = (17+19+20+21+24+30+33+37+38+40+40)÷11 = 29
Median = [tex]\frac{11+1}{2}[/tex] th term = 6th term = 30
Hence,
Mode = 3×30-2×29
= 90-58 = 32
