The following data give the numbers of new cars sold by Carpenters Motors Limited during a 20-day sale. 8 5 12 3 9 10 6 12 8 8 4 16 10 11 7 7 3 5 9 11
A. Calculate the values of the three quartiles.
B. Find the value 22nd percentile and interpret it.
C. Prepare a box-and whisker plot (Check for outliers if any).
Answers
Given : data give the numbers of new cars sold by Carpenters Motors Limited during a 20-day sale. 8 5 12 3 9 10 6 12 8 8 4 16 10 11 7 7 3 5 9 11
To find : the values of the three quartiles.
Solution:
8 5 12 3 9 10 6 12 8 8 4 16 10 11 7 7 3 5 9 11
Arranging in ascending order
3 3 4 5 5 6 7 7 8 8 8 9 9 10 10 11 11 12 12 16
1St Quartile = (5 + 6)/2 = 5.5
Median or 2nd Quartile = (8 + 8)/2 = 8
3rd Quartile = (10 + 11)/2 = 10.5
Value number of Dots
3 2
4 1
5 2
6 1
7 2
8 3
9 2
10 2
11 2
12 2
13 0
14 0
15 0
16 1
16 is an outlier
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