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Katyanochek1
2 months ago
12

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data. 13, 17, 9

, 21 What is the standard deviation for the data?
Mathematics
2 answers:
Zina [12.3K]2 months ago
8 0
The average is calculated as 60 / 4 = 15

13 - 15 = -2
17 - 15 = 2
9 - 15 = -6
21 - 15 = 6
The total of squares amounts to 4 + 4 + 36 + 36 = 80

Since this is a sample, we divide it by n - 1 (which equals 3)

The standard deviation is calculated as sqrt(80/3) = 5.16 as the final answer.




PIT_PIT [12.4K]2 months ago
6 0

Answer:

the standard deviation=4.47

Step-by-step explanation:

We need to determine the standard deviation for the following set of numbers:

13   17    9  21

First, let's calculate the mean of these values.

The mean is derived by averaging the numbers and is represented as:

Mean=\dfrac{13+17+9+21}{4}\\ \\Mean=\dfrac{60}{4}\\\\Mean=15

Next, we calculate the deviation of each number from the mean:

Deviation:

13-15=-2

17-15=2

9-15=-6

21-15=6

We then square these deviations:

4   4   36   36

Now, we determine the average of these squared values:

variance=\dfrac{4+4+36+36}{4}\\ \\Variance=\dfrac{80}{4}\\\\Variance=20

Finally, the standard deviation is the square root of the variance.

therefore, standard deviation=√(20)=4.47

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