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

Answer:

Mean = 1.9

Standard deviation = 0.6

Step-by-step explanation:

The Mean is calculate by the formula:

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

⇒ $Mean = \frac{24.9+24.7+24.7+23.4+27.9}{5} = 1.85$

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.  

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

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

Putting all values in the formula, We get

Standard Deviation = 0.597 ≈ 0.6