Question

Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.

21,24,24,27,29
Find the standard deviation of the data set.
Round your answer to the nearest hundredth.
push-ups

Answer 1

Answer: σ: 2.76

Explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2: 7.6

Steps

look at attached pic for formula

σ^2 =
`(Σ(xi - μ)^(2) )/(N)`

`((21 - 25)2 + ... + (29 - 25)2)/(5)`

⇒
`(38)/(5)`

⇒ 7.6

σ =
`√(7.6)`

⇒ 2.756809750418

⇒ or 2.76