Math / Data & Statistics

QuestionEdwin 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 Submit

Studdy Solution

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: $89, 92, 92, 94, 95, 95$ .

STEP 4

Since we have an even number of trips ( $6$ ), the median is the average of the two middle numbers.

STEP 5

In our sorted list, the two middle numbers are $92$ and $94$ .

STEP 6

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

STEP 7

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

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QuestionEdwin 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 Submit

Studdy Solution

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: $89, 92, 92, 94, 95, 95$ .

STEP 4

Since we have an even number of trips ( $6$ ), the median is the average of the two middle numbers.

STEP 5

In our sorted list, the two middle numbers are $92$ and $94$ .

STEP 6

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

STEP 7

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

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QuestionEdwin 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 Submit

Studdy Solution

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 Mileages2. 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, 9589,92,92,94,95,95.

STEP 4

Since we have an **even** number of trips (666), the median is the *average* of the two middle numbers.

STEP 5

In our **sorted** list, the two middle numbers are 929292 and 949494.

STEP 6

To find the **average**, we add them together and divide by 222: 92+942=1862=93 \frac{92 + 94}{2} = \frac{186}{2} = 93 292+94​=2186​=93

STEP 7

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

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

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.

1. Arrange the Mileages
2. Find the Median

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

Since we have an even number of trips ( $6$ ), the median is the average of the two middle numbers.

In our sorted list, the two middle numbers are $92$ and $94$ .

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

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