Question

Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. What statement is true about the mean of the sums of the two spinners?

Possible sums
sum        Frequency
5                     1
7                      2
9                      3
11                     4
13                    3
15                    2
17                    1
(A)The mean is 12. (B)The mean is 16. (C)The mean is the same as the median. (B)The mean is the same as the range.

Answer 1

The answer is C: The mean is the same as the median.

Answer 2

(C)The mean is the same as the median.

Step by step explanation

First we have to find the cumulative frequency

sum Frequency cumulative frequency

5 1 1

7 2 3

9 3 6

11 4 10

13 3 13

15 2 15

17 1 16

Mean = (5*1) + (7*3) + (9*6) + (11*10) + (13*13) + (15*15) + (17*16) divided by number of numbers

Number of numbers = 5 + 7 + 9 + 11 + 13 + 15 + 17 = 77

Therefore, mean = 856/77

= 856/77

Mean = 11

Median = Middle value of the data

The middle value = 11

Therefore, the mean is the same as the median.

Thank you.