Step-1

Title: Karl pearson’s coefficient of skewness

Grade: 9-a Lesson: S2-L7

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Calculate the following data by using coefficient of skewness. 1,2,3,4,5,6,7,8,9,9

2

Hint

Mean = \$" Sum of the observations "/" total number of observations" \$

3

Step

sum of observations = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 9

4

Step

Number of observations

10

5

Step

Then Mean after simplification is

\$54 / 10 = 5.4\$

6

Clue

Variance = \$(1 - 5.4)^2 + (2 - 5.4)^2 + (3 - 5.4)^2 + (4 - 5.4)^2 + (5 - 5.4)^2 + (6 - 5.4)^2 + (7 - 5.4)^2 + (8 - 5.4)^2 + (9 - 5.4)^2 + (9 - 5.4)^2\$ / 10 - 1 = 7.44

7

Clue

Standard deviation

\$\sqrt(7.44) = 2.73\$

8

Step

Median

\$((n/2)^(th) term + (n/2 + 1)^(th) term)/2\$

9

Step

simplification according to median

\$(5 + 6) / 2 = 5.5\$

10

Step

Skewness

sk = \$(Mean - Median) / (sd)\$

11

Step

Simplification

\$5.4 - 5.5 / 2.73\$

12

Step

After simplification we get

- 0.11

13

Answer

A

Tutor: Questions

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1

Problem

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2

Clue

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3

Hint

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4

Step

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5

Step

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