Question

Yesterday, the price of a gallon of gas at five gas stations was $3.64, $3.79, $3.70, $4.01, and $3.91, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?

A. $3.81
B. $3.89
C. $3.73
D. $3.97

PLEASE BE CORRECT.

Answer 1

Option: B is the correct answer.

B. $ 3.89

Explanation:

The price of a gallon of gas at five gas stations is given by:

$3.64, $3.79, $3.70, $4.01, and $3.91

The mean of these data values is given by:

`Mean=(3.64+3.79+3.70+4.01+3.91)/(5)\\\\\\Mean=(19.05)/(5)\\\\\\Mean=3.81`

We know that if each of the quantity of the data set is increased by a fixed amount then the mean of the data set also increases by that fixed amount.

As we are given that each gas station raised its price by $0.08.

This means that the mean is also increased by $ 0.08

i.e. Today's mean price of a gallon of gas at the five station is given by:

`Mean=3.81+0.08\\\\\\Mean=3.89`

Hence today's mean is:

$ 3.89

Answer 2

3.64 + 3.79 + 3.70 + 4.01 + 3.91 = 19.05
0.08 * 5 = 0.40

19.05 + 0.40 = 19.45

19.45 / 5 = 3.89

Answer is B