Question

Below are the times (in days) it takes for a sample of 6 customers from Lashonda's computer store to pay their invoices.18, 44, 22, 13, 20, 27Send data to calculatorFind the standard deviation of this sample of times. Round your answer to two decimal places.ExplanationI need help with this math problem

Answer 1

We need to find the standard deviation of the given sample:

First, we need to find the mean:

Set the values from least to greatest

13, 18, 20, 22, 27, 44

Mean =

$\frac{13+18+20+22+27+44}{6}=24$

Now, we need to use the standard deviation formula for samples:

$SD=\sqrt[]{\frac{\sum_^(x-mean)^2}{n-1}}$

where:

x = The value in the data distribution

n = total number

Replacing:

$SD=\sqrt{\frac{(13-24)^2+(18-24)^2+(20-24)^2+(22-24)^2+(27-24)^2+(44-24)^2}{6-1}}$

Simplify:

$SD=10.83$

Hence, the standard deviation of the sample is 10.83 (The value is rounded by two decimal places)