174k views
1 vote
Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from

data.
13, 17, 9, 21
What is the standard deviation for the data?

User Rtisatto
by
8.8k points

1 Answer

3 votes

Answer:

Approx. 4.47

Explanation:

To calculate the standard deviation for the data, we need to follow these steps:

1. Calculate the mean (average) of the data:

mean = (13 + 17 + 9 + 21) / 4 = 15

2. Calculate the difference between each data point and the mean:

13 - 15 = -2

17 - 15 = 2

9 - 15 = -6

21 - 15 = 6

3. Square each difference:

(-2)^2 = 4

2^2 = 4

(-6)^2 = 36

6^2 = 36

4. Calculate the variance by taking the average of the squared differences:

variance = (4 + 4 + 36 + 36) / 4 = 20

5. Calculate the standard deviation by taking the square root of the variance:

standard deviation = sqrt(variance) = sqrt(20) ≈ 4.47

Therefore, the standard deviation for the data is approximately 4.47.

User Mikek
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories