Question

The estimated mean mileage for the total number of vehicles to its nearest ones place is miles per gallon.

• A. 6.5
• B. 7
• C. 8
• D. 6

Answer 1

The correct option is D 6

You know,
$Mean=\frac{\text{Sum of the observations}}{\text{Number of the observations}}$

To find the number of observations, you analyse the number line.


We can represent miles per gllon as mpg.

The number of vehicles having mileage of 8 mpg is 2 and
the number of vehicles having mileage of 5 mpg is 3.

∴ Sum of observations will be:
$=8+8+5+5+5$ = $31$

Representing by the dot plots, we see:


∴ Mean mileage of the cars is

$=\frac{5+5+5+8+8}{5}$

$=\frac{31}{5}$

$=\frac{31\times 2}{5\times 2}$

$=\frac{62}{10}$

$=6.2$ mpg.

Estimating 6.2 to the nearest ones, you get 6.

Therefore, the mean mileage of the cars shown in the picture estimated to the ones place is 6 mpg.