Question

below are the times (in days) it takes for a sample of 5 customers from alans computer store to pay their invoices. 44, 24, 38, 26, 43 find the standard deviation of this sample of times. round your answer to two decimal places. (if necessary, consult a list of formulas.)

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{44 + 24+38+26+43}{5}=\frac{175}{5}=35$

Step2: Calculate the squared differences

$(44 - 35)^2=81$, $(24 - 35)^2 = 121$, $(38 - 35)^2=9$, $(26 - 35)^2 = 81$, $(43 - 35)^2=64$

Step3: Calculate the sample variance

The sample variance $s^{2}=\frac{81+121 + 9+81+64}{5 - 1}=\frac{356}{4}=89$

Step4: Calculate the sample standard deviation

The sample standard deviation $s=\sqrt{89}\approx9.43$

Answer:

$9.43$