The ages​ (in years) of a random sample of shoppers at a gaming store are shown. Determine the​ range, mean,​ variance, and standard deviation of the sample data set. 1212​,1818​,2323​,1414​,1515​,1818​,1919​,1616​,1313​,1616  The range is1111.​(Simplify your​ answer.)The mean is16.416.4.​(Simplify your answer. Round to the nearest tenth as​ needed.)The variance isnothing.​(Simplify your answer. Round to the nearest hundredth as​ needed.)The standard deviation isnothing.​(Simplify your answer. Round to the nearest tenth as​ needed.)

Question
Asked Nov 4, 2019
The ages​ (in years) of a random sample of shoppers at a gaming store are shown. Determine the​ range, mean,​ variance, and standard deviation of the sample data set.
 
1212​,
1818​,
2323​,
1414​,
1515​,
1818​,
1919​,
1616​,
1313​,
1616
  
The range is
1111.
​(Simplify your​ answer.)
The mean is
16.416.4.
​(Simplify your answer. Round to the nearest tenth as​ needed.)
The variance is
nothing.
​(Simplify your answer. Round to the nearest hundredth as​ needed.)
The standard deviation is
nothing.
​(Simplify your answer. Round to the nearest tenth as​ needed.)
check_circleExpert Solution
Step 1

Hi, here the data is repeated twice. Hence, consider the below data for further calculations.

Data is 12, 18, 23, 14, 15, 18, 19, 16, 13, 16.

Use the below steps to obtain the​ range, mean,​ variance, and standard deviation by using Excel.

  • In Excel sheet, enter Data in one column.
  • In Data, select Data Analysis and choose Descriptive Statis...
Data
16.4
Mean
Standard Error
1.024152766
Median
16
Mode
18
Standard Deviation 3.238655414
Sample Variance
10.48888889
Kurtosis
0.623829744
Skewness
0.703564104
Range
11
Minimum
12
Мaximum
23
Sum
164
Count
10
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Data 16.4 Mean Standard Error 1.024152766 Median 16 Mode 18 Standard Deviation 3.238655414 Sample Variance 10.48888889 Kurtosis 0.623829744 Skewness 0.703564104 Range 11 Minimum 12 Мaximum 23 Sum 164 Count 10

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