15

Given the series:

3, 5, 2, 7, 6, 4, 9.

3, 5, 2, 7, 6, 4, 9, 1.

Calculate:

The mode, median and mean.

The average deviation, variance and standard deviation.

The quartiles 1 and 3.

The deciles 2 and 7.

The percentiles 32 and 85.


3, 5, 2, 7, 6, 4, 9.


Mode

Does not exist because all the scores have the same frequency.

Median

2, 3, 4, 5, 6, 7, 9.

Me = 5

Mean

Statistical Mean Exercise

Variance

Statistical Variance Problem

Standard Deviation

Standard Deviation Exercise

Average Deviation

Average Deviation Problem

Range

r = 9 − 2 = 7

Quartiles

Quartiles Example

Deciles

7 · (2/10) = 1.4 D2 = 3

7 · (7/10) = 4.9 D7 = 6

Percentiles

7 · (32/100) = 2,2 P32 = 4

7 · (85/100) = 5.9 P85 = 7


3, 5, 2, 7, 6, 4, 9, 1.


Mode

Does not exist because all the scores have the same frequency.

Median

Statistical Median Problem

Mean

Statistical Mean Example

Variance

Statistical Variance

Standard Deviation

Standard Deviation

Average Deviation

Average Deviation Calculations

Range

r = 9 - 1 = 8

Quartiles

Quartiles Example

Deciles

8 · (2/10) = 1.6 D2 = 2

8 · (7/10) = 5.6 D7 = 6

Percentiles

8 · (32/100) = 2.56 P32 = 3

8 · (85/100) = 6.8 P85 = 7