Question

In: Statistics and Probability

The ages​ (in years) of a random sample of shoppers at a gaming store are shown....

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.

12,21​23,14​,20​,17​,21​,16,14,17

the range is?

the mean is?

The standard deviation is

  

Solutions

Expert Solution

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

orchestra answered 2 years ago
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