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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

Variance

Standard Deviation

Average Deviation

Range

r = 9 − 2 = 7

Quartiles

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

Mean

Variance

Standard Deviation

Average Deviation

Range

r = 9 - 1 = 8

Quartiles

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

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