Question

The following data set represents a population of values:  3     15     9     11    7     15     3

The total deviation from the population mean for the data values is.

QQQQ

Given that a sample is approximately bell-shaped with a mean of 76 and a standard deviation of 2, the approximate percentage of data values that is expected to fall between 70 and 82 is

75 percent

99.7 percent

68 percent

95 percent

QQQ

The numbers of minutes spent by 20 students waiting in line to see The Fray in concert are given below:

       Number of minutes
       7 | 0 1 5 5 6 6 7 8
       8 | 0 2 2 5 7 9
       9 | 3 5
       10 | 1
      
The range for this data set is

Answer 1

The population mean is

Following table shows the deviation from population mean

Data , X	deviation, X-mean
3	-6
15	6
9	0
11	2
7	-2
15	6
3	-6
Total	0

Hence, the total deviation is 0.

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Given that

So,

According to empirical rule,  99.7% data values lies within 3 standard deviation of mean.

Hence, the required percentage is 99.7%.

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Maximum value = 10.1, Minimum value = 7.0

Range = Maximum - Minimum = 10.1 - 7.0 = 3.1