In: Statistics and Probability
The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, and standard deviation of the sample data set.
12,2123,14,20,17,21,16,14,17
the range is?
the mean is?
The standard deviation is
SOLUTION:
From given data,
The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, and standard deviation of the sample data set.
- | ( - ) 2 | |
12 | -5.5 | 30.25 |
21 | 3.5 | 12.25 |
23 | 5.5 | 30.25 |
14 | -3.5 | 12.25 |
20 | 2.5 | 6.25 |
17 | -0.5 | 0.25 |
21 | 3.5 | 12.25 |
16 | -1.5 | 2.25 |
14 | -3.5 | 12.25 |
17 | -0.5 | 0.25 |
= 175 | ( - ) 2 = 118.5 |
= 12+21+23+14+20+17+21+16+14+17 = 175
( - ) 2 = 30.25+12.25+30.25+12.25+6.25+0.25+12.25+2.25+12.25+0.25 = 118.5
The range is?
Range = Maximum value - Minimum value
Range = 23 - 12
Range = 11
The mean is?
Mean = = /
Mean = 175 / 10
Mean = 17.5
The standard deviation is
Standard deviation = = sqrt (( - ) 2 / )
= sqrt (118.5 / 10 )
= 3.4423828