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Math

Math Snap

PROBLEM

Edwin often travels by car for business and is reimbursed based upon his mileage. On his last
6 trips, he drove:
94 miles 95 miles 89 miles 95 miles 92 miles 92 miles
What is the median distance driven?
miles
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STEP 1

What is this asking?
Find the middle value of the distances Edwin drove, when those distances are arranged in order.
Watch out!
Don't forget to sort the distances first!
A common mistake is to just pick the middle number from the original list.

STEP 2

1. Arrange the Mileages
2. Find the Median

STEP 3

Let's arrange these mileages in order from least to greatest!
This is super important for finding the median.
We have: 89,92,92,94,95,9589, 92, 92, 94, 95, 95.

STEP 4

Since we have an even number of trips (66), the median is the average of the two middle numbers.

STEP 5

In our sorted list, the two middle numbers are 9292 and 9494.

STEP 6

To find the average, we add them together and divide by 22:
92+942=1862=93 \frac{92 + 94}{2} = \frac{186}{2} = 93

SOLUTION

The median distance Edwin drove is 93\bf{93} miles.

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