Find the standard deviation of a series of ACT scores listed below.
$17, 20, 26, 24, 23$

The standard deviation is
(Type an integer or decimal rounded to the nearest hundredth as needed.)

Answer

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Answer

Final Answer: The standard deviation of the ACT scores is $3.16$

Steps

Step 1 ：Calculate the mean (average) of the numbers: $\frac{17 + 20 + 26 + 24 + 23}{5} = 22.0$

Step 2 ：Subtract the mean from each number and square the result: $(17 - 22)^{2} = 25.0, (20 - 22)^{2} = 4.0, (26 - 22)^{2} = 16.0, (24 - 22)^{2} = 4.0, (23 - 22)^{2} = 1.0$

Step 3 ：Calculate the mean of these squared differences: $\frac{25.0 + 4.0 + 16.0 + 4.0 + 1.0}{5} = 10.0$

Step 4 ：Take the square root of the result from step 3: $\sqrt{10.0} = 3.1622776601683795$

Step 5 ：Final Answer: The standard deviation of the ACT scores is $3.16$

Find the standard deviation of a series of ACT scores listed below.17,20,26,24,23 The standard deviation is(Type an integer or decimal rounded to the nearest hundredth as needed.)

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Find the standard deviation of a series of ACT scores listed below.
$17, 20, 26, 24, 23$

The standard deviation is
(Type an integer or decimal rounded to the nearest hundredth as needed.)