Question

Standard deviation 12,16,22,23,34,44,46,47,48,64,67,73,83,89, round to nearest tenth

Answer 1

Answer: 23.9

Explanation:

1. First, you must calculate the mean, as following:

`(12+16+22+23+34+44+46+47+48+64+67+73+83+89)/(14)=47.71`

2. Now, you should substract the means obtained to every single number of the set and then square it. Add all of them:

`(12-47.71)^(2)+(16-47.71)^(2)+(22-47.71)^(2)+(23-47.71)^(2)+(34-47.71)^(2)+(44-47.71)^(2)+(46-47.71)^(2)+(47-47.71)^(2)+(48-47.71)^(2)+(64-47.71)^(2)+(67-47.71)^(2)+(73-47.71)^(2)+(83-47.71)^(2)+(89-47.71)^(2)=7984.86`

3. The mean of this is:

`(7984.8574)/(14)=570.35`

4. The square root of this result is:

`√(2.52)=23.88`

5. To the nearest tenth, the result is: 23.9