Answer:
a) Richard had the greater median earnings from tips
b) $10
c) $1
Step-by-step explanation:
Median is the middle number when arranged from least to greatest.
a)
Josh's Tips (smallest to greatest): 20, 28, 31, 36, 40
Richard's Tips (smallest to greatest): 28, 40, 41, 45, 53
<em>The middle number (median) for Josh is the 3rd number, which is 31</em>
<em>The middle number (median) for Richard is the 3rd number, which is 41</em>
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Richard had the greater median earnings from tips
b)
Josh's median is 31 and Richard's median is 41. The difference is:
41 - 31 = $10
c)
Interquartile range is Third Quartile - First Quartile
For 5 number series, the third quartile is the average of 4th and 5th number. The first quartile is the average of the 1st and 2nd number.
<u>For Josh:</u>
Average of 4th and 5th number: (36+40)/2 = 38
Average of 1st and 2nd number: (20+28)/2 = 24
Interquartile Range = 38 - 24 = 14
<u>For richard:</u>
Average of 4th and 5th number: (45+53)/2 = 49
Average of 1st and 2nd number: (28+40)/2 = 34
Interquartile Range = 49 - 34 = 15
Thus, difference in IQR (interquartile range) between Josh and Richard is 15 - 14 = 1