Solved on Jan 06, 2024

Find the mean of the following set of numbers: $8, 9, 5, 8, 3, 7, 3, 9, 2$ .

STEP 1

Assumptions
1. We are given a set of numbers: $8, 9, 5, 8, 3, 7, 3, 9, 2$ .
2. We need to calculate the mean (average) of these numbers.

STEP 2

The mean of a set of numbers is calculated by summing all the numbers and then dividing by the count of numbers.
$\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Count of numbers}}$

STEP 3

First, we sum all the numbers in the given set.
$\text{Sum} = 8 + 9 + 5 + 8 + 3 + 7 + 3 + 9 + 2$

STEP 4

Calculate the sum of the numbers.
$\text{Sum} = 54$

STEP 5

Count the number of values in the set.
$\text{Count} = 9$

STEP 6

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

STEP 7

Plug in the values for the sum and the count to calculate the mean.
$\text{Mean} = \frac{54}{9}$

STEP 8

Calculate the mean.
$\text{Mean} = \frac{54}{9} = 6$
The mean of the given set of numbers is $6$ .

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Find the mean of the following set of numbers: $8, 9, 5, 8, 3, 7, 3, 9, 2$ .

STEP 1

Assumptions
1. We are given a set of numbers: $8, 9, 5, 8, 3, 7, 3, 9, 2$ .
2. We need to calculate the mean (average) of these numbers.

STEP 2

The mean of a set of numbers is calculated by summing all the numbers and then dividing by the count of numbers.
$\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Count of numbers}}$

STEP 3

First, we sum all the numbers in the given set.
$\text{Sum} = 8 + 9 + 5 + 8 + 3 + 7 + 3 + 9 + 2$

STEP 4

Calculate the sum of the numbers.
$\text{Sum} = 54$

STEP 5

Count the number of values in the set.
$\text{Count} = 9$

STEP 6

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

STEP 7

Plug in the values for the sum and the count to calculate the mean.
$\text{Mean} = \frac{54}{9}$

STEP 8

Calculate the mean.
$\text{Mean} = \frac{54}{9} = 6$
The mean of the given set of numbers is $6$ .

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Find the mean of the following set of numbers: 8,9,5,8,3,7,3,9,28, 9, 5, 8, 3, 7, 3, 9, 28,9,5,8,3,7,3,9,2.

STEP 1

Assumptions1. We are given a set of numbers: 8,9,5,8,3,7,3,9,28, 9, 5, 8, 3, 7, 3, 9, 28,9,5,8,3,7,3,9,2.2. We need to calculate the mean (average) of these numbers.

STEP 2

The mean of a set of numbers is calculated by summing all the numbers and then dividing by the count of numbers.Mean=Sum of all numbersCount of numbers\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Count of numbers}}Mean=Count of numbersSum of all numbers​

STEP 3

First, we sum all the numbers in the given set.Sum=8+9+5+8+3+7+3+9+2\text{Sum} = 8 + 9 + 5 + 8 + 3 + 7 + 3 + 9 + 2Sum=8+9+5+8+3+7+3+9+2

STEP 4

Calculate the sum of the numbers.Sum=54\text{Sum} = 54Sum=54

STEP 5

Count the number of values in the set.Count=9\text{Count} = 9Count=9

STEP 6

Now, we calculate the mean by dividing the sum by the count.Mean=SumCount\text{Mean} = \frac{\text{Sum}}{\text{Count}}Mean=CountSum​

STEP 7

Plug in the values for the sum and the count to calculate the mean.Mean=549\text{Mean} = \frac{54}{9}Mean=954​

STEP 8

Calculate the mean.Mean=549=6\text{Mean} = \frac{54}{9} = 6Mean=954​=6The mean of the given set of numbers is 666.

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Find the mean of the following set of numbers: $8, 9, 5, 8, 3, 7, 3, 9, 2$ .

Assumptions
1. We are given a set of numbers: $8, 9, 5, 8, 3, 7, 3, 9, 2$ .
2. We need to calculate the mean (average) of these numbers.

The mean of a set of numbers is calculated by summing all the numbers and then dividing by the count of numbers.
$\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Count of numbers}}$

First, we sum all the numbers in the given set.
$\text{Sum} = 8 + 9 + 5 + 8 + 3 + 7 + 3 + 9 + 2$

Calculate the sum of the numbers.
$\text{Sum} = 54$

Count the number of values in the set.
$\text{Count} = 9$

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

Plug in the values for the sum and the count to calculate the mean.
$\text{Mean} = \frac{54}{9}$

Calculate the mean.
$\text{Mean} = \frac{54}{9} = 6$
The mean of the given set of numbers is $6$ .