Question

The following side-by-side stemplot displays the total number of points scored per Super Bowl football game for the first 41 Super Bowls (from 1967–2007), separated according to the first 20 games (1967–1986) and the next 21 games (1987–2007):

Next 21 Games First 20 Games 9732 2 3 16799 87720 777654 13456 4 640 23569 7

a. Does this stemplot enable you to determine how many points were scored in the first Super Bowl? If so, what is this number? If not, enter the number 0.

b. Does this stemplot enable you to determine how many of the first 41 Super Bowls had a total of 37 points? If so, what is this number? If not, enter the number 0.

c. What is the median number of points scored in the first 20 Super Bowl games?

Answer 1

Total number of points scored for the first 20 Super Bowls game:

29, 27, 23, 22, 21, 38, 37, 37, 32, 30, 47, 47, 47, 46, 45, 44, 56, 54, 50, 66

Total number of points scored the next 21 Super Bowls game:

31, 36, 37, 39, 39, 41, 43, 44, 45, 46, 52, 53, 55, 56, 59, 61, 61, 65, 69, 69, 75

A.

No, we can not determine the points scored in the first super bowl as stemplot gives us only the points scored not the order. So,

0

B.

3

C.

Sorted Data Set:

21, 22, 23, 27, 29, 30, 32, 37, 37, 38, 44, 45, 46, 47, 47, 47, 50, 54, 56, 66

When the no. of observations(n) are even then the median is calculated as follows:

2 m 2.

Median = (38+44)/2

= 41

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