16

A statistical distribution is given by the following table:

  [10, 15) [15, 20) [20, 25) [25, 30) [30, 35)
fi 3 5 7 4 2

Calculate:

The mode, median and mean.

The range, average deviation and variance.

The quartiles 1 and 3.

The deciles 3 and 6.

The percentiles 30 and 70.


  xi fi Fi xi · fi |x − x | · fi xi2 · fi
[10, 15) 12.5 3 3 37.5 27.857 468.75
[15, 20) 17.5 5 8 87.5 21.429 1537.3
[20, 25) 22.5 7 15 157.5 5 3543.8
[25, 30) 27.5 4 19 110 22.857 3025
[30, 35) 32.5 2 21 65 21.429 2112.5
    21   457.5 98.571 10681.25

Mode

Statistical Mode

Median

Statistical Median

Mean

Statistical Mean

Average Deviation

Average Deviation

Variance

Statistical Variance

Standard Deviation

Standard Deviation

Quartiles

Quartiles

Quartiles Example

Deciles

Deciles

Deciles Exercise

Percentiles

Percentiles

Percentiles Exercise