Construct a box and whisker plot for the following data 6,7,13,17,20,25,39,41,43,49,51, 62
Answers
Answer:
Step-by-step explanation:
First, put the data in ascending order. Then find the median.
6, 7, 13, 17, 20, 25, 39, 41, 43, 49, 51, 62.
Median = (12th + 1st) ÷ 2 = 6.5th value
= (sixth + seventh observations) ÷ 2
= (25 + 39) ÷ 2
= 32
There are six numbers below the median, namely: 6, 7, 13, 17, 20, 25.
Q1 = the median of these six items
= (6 + 1 ) ÷ 2= 3.5th value
= (third + fourth observations) ÷ 2
= (13 + 17) ÷ 2
= 15
Here are six numbers above the median, namely: 39, 41, 43, 49, 51, 62.
Q3 = the median of these six items
= (6 + 1) ÷ 2= 3.5th value
= (third + fourth observations) ÷ 2
= 46
The five-number summary for Carl's sales is 6, 15, 32, 46, 62.
Using the same calculations, we can determine that the five-number summary for Angela is 1, 17, 26, 42, 57.
Carl's highest and lowest sales are both higher than Angela's corresponding sales, and Carl's median sales figure is higher than Angela's. Also, Carl's interquartile range is larger than Angela's.
These results suggest that Carl consistently sells more computers than Angela does.