QuestionCalculate the mean of the data set: $28, 40, 53, 39, 45$ .

Studdy Solution

STEP 1

Assumptions1. The data set consists of the numbers28,40,53,39,45. We are asked to find the mean (average) of this data set

STEP 2

The mean of a data set is calculated by adding up all the numbers in the set, and then dividing by the count of numbers in the set. The formula for the mean is $Mean = \frac{Sum\, of\, all\, numbers}{Count\, of\, numbers}$

STEP 3

First, let's add up all the numbers in the data set.
$Sum\, of\, all\, numbers =28 +40 +53 +39 +45$

STEP 4

Calculate the sum of all numbers.
$Sum\, of\, all\, numbers =28 +40 +53 +39 +45 =205$

STEP 5

Now, let's count the number of numbers in the data set.
The count of numbers is5.

STEP 6

Now, we can calculate the mean by dividing the sum of all numbers by the count of numbers.
$Mean = \frac{Sum\, of\, all\, numbers}{Count\, of\, numbers}$

STEP 7

Plug in the values for the sum of all numbers and the count of numbers to calculate the mean.
$Mean = \frac{205}{5}$

STEP 8

Calculate the mean.
$Mean = \frac{205}{5} =41$ The mean of the data set is41.

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