The following data points represent the weight (in
kilograms) of each of Newman's 4 dogs.
6,5, 13,8
Find the standard deviation of the data set.
Round your answer to the nearest hundredth.

σ = 3.08

Step-by-step explanation:

Given

6, 5, 13, 8

Required

Standard Deviation

Take note of the following highlighted steps

1. Calculate the Mean

Mean = summation of data ÷ number of data

Summation = 6 + 5 + 13 + 8

Summation = 32

Number of data = 4

Mean = 32/4

Mean = 8

2. Subtract the mean from given data

6:-> 6 - 8 = -2

5:-> 5 - 8 = -3

13:-> 13 - 8 = 5

8:-> 8 - 8 = 0

We have; -2, -3, 5, 0

3. Square these results

-2:-> -2² = 4

-3:-> -3² = 9

5:-> 5² = 25

0:-> 0² = 0

We have: 4, 9, 25, 0

4. Calculate the mean of these results

Mean = summation of data ÷ number of data

Summation = 4 + 9 + 25 + 0

Summation = 38

Number of data = 4

Mean = 38/4

Mean = 9.5

Step 5: Take square root of the above

Standard Deviation, σ = √9.5

σ = 3.08220700148

σ = 3.08 (Approximated)

boxplot e is the answer