Question

the highway mileage (mpg) for several cars is shown in the table below. find the mean and the median (round your answers to 2 decimal places as needed).

| highway mpg |
| ---- |
| 44 |
| 22 |
| 24 |
| 27 |
| 20 |
| 22 |
| 27 |

1. mean

1. median

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Explanation:

Step1: Calculate sum of values

$44 + 22+24 + 27+20+22+27=186$

Step2: Calculate number of values

There are 7 values.

Step3: Calculate the mean

The mean $\bar{x}=\frac{186}{7}\approx26.57$

Step4: Arrange data in ascending order

$20, 22, 22, 24, 27, 27, 44$

Step5: Find the median

Since there are 7 (an odd - numbered) values, the median is the 4th value when arranged in ascending order. So the median is 24.

Answer:

1. Mean: 26.57
2. Median: 24