Answer:

3, 4, 5, 5, 6, 7, 7, 7, 8, 8.

Calculate the range

Highest Value - Lowest Value

8 - 3 = 5

RANGE = 5

Calculate the Average Deviation

First Calculate the mean.

= 3 + 4 + 5 + 5 + 6 + 7 + 7 + 7 + 8 + 8

10

= 60

10

= 6

Then Constuct the table of values.

X ̅ | − ̅|

3 3 0

4 3 1

5 3 2

5 3 2

6 3 3

7 3 4

7 3 4

7 3 4

8 3 5

8 3 5

= 30

Lastly Calculate the average deviation.

AD = Σ|−̅| = 30 = 30

10

AVERAGE DEVIATION = 3

VARIANCE

Solution:

Step 1: Calculate the mean

Based from our discussion previously, the means is 3 or ̅ = 3

Step 2: Construct the table of values.

X −̅ or d 2

3 0 0

4 1 1

5 2 4

5 2 4

6 3 9

7 4 16

7 4 16

7 4 16

8 5 25

8 5 25

Σd2 = 116

Step 3: Solve for the Variance.

• Remember, the higher the VARIANCE, the more the variable or far apart the values are from each other.

S2 = Σd2

n-1

= 116

10 - 1

= 116

9

= 12.89

VARIANCE = 12.89

Standard Deviation

S = √116

10-1

= √116

9

= √12.89

S ≈ 3.59

STANDARD DEVIATION = 3.59

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