Question

. Use the statistical features of your calculator to find the mean and the standard deviation to the nearest tenth of a data set of the miles per gallon from a sample of five cars.

24.9 24.7 24.7 23.4 27.9

Answer 1

Mean = 1.9

Standard deviation = 0.6

Explanation:

The Mean is calculate by the formula:

`Mean = \frac{\text{Sum of all the observation}}{\text{Total number of observation}}`

⇒
`Mean = (24.9+24.7+24.7+23.4+27.9)/(5) = 1.85`

Thus Mean to the nearest tenth is 1.9

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

`Standard deviation(\sigma) = \sqrt{(1)/(n)\sum_(i=1)^(n){(x_(i)-\bar{x})^(2)} }`

where,
`\bar{x}` is mean of the distribution.

Putting all values in the formula, We get

Standard Deviation = 0.597 ≈ 0.6