Question

question
given the frequency table below for a list of the number of holes gophers dug in randomly selected backyards, find the mean of the data.

value	frequency
9	4
10	1
11	4
12	4
13	0
14	1

provide your answer below:

mean=\boxed{} holes

Explanation:

Step1: Calculate the product of each value and its frequency

For value 8 and frequency 6: $8\times6 = 48$
For value 9 and frequency 4: $9\times4 = 36$
For value 10 and frequency 1: $10\times1 = 10$
For value 11 and frequency 4: $11\times4 = 44$
For value 12 and frequency 4: $12\times4 = 48$
For value 13 and frequency 0: $13\times0 = 0$
For value 14 and frequency 1: $14\times1 = 14$

Step2: Sum all the products

Sum of products: $48 + 36 + 10 + 44 + 48 + 0 + 14 = 200$

Step3: Calculate the total frequency

Total frequency: $6 + 4 + 1 + 4 + 4 + 0 + 1 = 20$

Step4: Calculate the mean

Mean = $\frac{\text{Sum of products}}{\text{Total frequency}} = \frac{200}{20} = 10$

Answer:

mean = $\boxed{10}$ holes