Math

QuestionCompare the mean and median of the daily highs: 65,75,69,74,57,60,6065, 75, 69, 74, 57, 60, 60. Which is greater?

Studdy Solution

STEP 1

Assumptions1. The given numbers represent the daily high temperatures in Mississippi 65,75,69,74,57,60,6065,75,69,74,57,60,60 . We need to calculate the mean (average) and the median (middle value) of these temperatures3. The mean is calculated by adding all the numbers and dividing by the count of numbers4. The median is calculated by arranging the numbers in ascending order and finding the middle number

STEP 2

First, let's calculate the mean. The formula for the mean isMean=SumofallnumbersCountofnumbersMean = \frac{Sum\, of\, all\, numbers}{Count\, of\, numbers}

STEP 3

Add all the given numbers to find the sum.
Sum=65+75+69+74+57+60+60Sum =65 +75 +69 +74 +57 +60 +60

STEP 4

Calculate the sum.
Sum=460Sum =460

STEP 5

Now, divide the sum by the count of numbers to find the mean. There are7 numbers, soMean=4607Mean = \frac{460}{7}

STEP 6

Calculate the mean.
Mean=65.71Mean =65.71

STEP 7

Next, let's calculate the median. First, arrange the numbers in ascending order.
57,60,60,65,69,74,7557,60,60,65,69,74,75

STEP 8

The median is the middle number. Since there are7 numbers, the median is the4th number.
Median=65Median =65

STEP 9

Now, compare the mean and the median.The mean is65.71 and the median is65. Therefore, the mean is greater than the median.

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord