Question

Find the first, second, and third quartiles for the ages of the 11 most powerful women using the data set listed.

26, 70, 37, 47, 31, 45, 43, 42, 44, 48, 35 a. Find the median. (1 point)
b. Find the first and third quartiles, 1 and 3. (1 point) c. Find the interquartile range. (1 point)
d. Identify any data entries less than 1 − 1.5(QR) or greater than 3 + 1.5(QR). (1 point)
e. Any outliers? (1 point)
f. Find the five-number summary of the data set. (1 point). Draw the box- and-whiskers plot.

Answer 1

Median = n+1/2
number of elements = 11
11+1/2
12/2
6
45 is in the 6th position
First quartile
n+1/2
n=5
6/2
3rd position
37 is in the third position
Third quartile
n+1/2
n=5
6/2
3rd position
44 is the the third position
The interquartile range is Quartile 3 - Quartile 1
44-37
7
20 and 70 are outliers

Find number summary
26 37 45 44 70