Question

The table shows Kayden's quiz scores for a semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?

45 48 42 47 43

Mean =

Standard deviation =

Answer 1

The mean is of 45.

The standard deviation is 2.28.

Explanation:

The mean is the sum of all values divided by the number of values.

The standard deviation is the square root of the sum of the difference squared between each value and the mean, and divided by the number of values.

Mean:

`M = (45 + 48 + 42 + 47 + 43)/(5) = 45`

The mean is of 45.

Standard deviation:

`M = \sqrt{((45-45)^2 + (48-45)^2 + (42-45)^2 + (47-45)^2 + (43-45)^2)/(5)} = 2.28`

The standard deviation is 2.28.