8

The heights of the players (in centimeters) from a basketball team are represented by the table:

Height [170, 175) [175, 180) [180, 185) [185, 190) [190, 195) [195, 2.00)
No. of players 1 3 4 8 5 2

Calculate:

1. The mean.

2. The median.

3. The standard deviation.

4. How many players are above the mean plus one standard deviation?


  xi fi Fi xi · fi xi2 · fi
[1.70, 1.75) 1.725 1 1 1.725 2.976
[1.75, 1.80) 1.775 3 4 5.325 9.453
[1.80, 1.85) 1.825 4 8 7.3 13.324
[1.85, 1.90) 1.875 8 16 15 28.128
[1.90, 1.95) 1.925 5 21 9.625 18.53
[1.95, 2.00) 1.975 2 23 3.95 7.802
    23   42.925 80.213

Mean

Statistical Operations

Median

Statistical Operations

Standard Deviation

Statistical Operations

4

x + σ = 1.866+ 0.077 = 1.943

This value belongs to a percentile that is in the penultimate interval.

Statistical Operations

Statistical Operations

There are only 3 players above x + σ.