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. possible sums

sum	frequency
7	2
9	3
11	4
13	3
15	2
17	1

what statement is true about the mean of the sums of the two spinners? the mean is 12. the mean is 16. the mean is the same as the median. the mean is the same as the range.

Explanation:

Step1: Calculate sum of products

$(5\times1)+(7\times2)+(9\times3)+(11\times4)+(13\times3)+(15\times2)+(17\times1)=154$

Step2: Calculate total frequency

$1 + 2+3 + 4+3 + 2+1 = 16$

Step3: Calculate the mean

$\frac{154}{16}=9.625$

Step4: Arrange data for median

Arranged data: 5, 7, 7, 9, 9, 9, 11, 11, 11, 11, 13, 13, 13, 15, 15, 17. Median is $\frac{11 + 11}{2}=11$

Step5: Calculate range

$17 - 5=12$

Answer:

None of the given statements are true.