Question

In: Statistics and Probability

Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in...

Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters for a sample of 8-year-old boys. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

Heights in Centimeters

Class Frequency

120.6 - 123.6 26

123.7 - 126.7 22

126.8--129.8 34

129.9-132.9 26

133-136 44

Solutions

Expert Solution

Solution:

We have to find  the sample variance and sample standard deviation for the given frequency distribution of heights in centimeters for a sample of 8-year-old boys.

Formula:

Sample variance:

where mi = mid values of class intervals.

Thus we need to make following table:

Class fi: Frequency mi    mi*fi mi2* fi
120.6-123.6 26 =(120.6+123.6)/2=122.1 3174.6 387618.66
123.7-126.7 22 =(123.7+126.7)/2=125.2 2754.4 344850.88
126.8-129.8 34 =(126.8+129.8)/2=128.3 4362.2 559670.26
129.9-132.9 26 =(129.9+132.9)/2=131.4 3416.4 448914.96
133.0-136.0 44 =(133.0+136.0)/2=134.5 5918 795971
N = 152

Thus

Sample variance:

and

Sample standard deviation:


Related Solutions

Calculate the sample variance and sample standard deviation for the following frequency distribution of heart rates...
Calculate the sample variance and sample standard deviation for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 61 - 66 4 67 - 72 8 73 - 78 5 79 - 84 7 85 - 90 13
Calculate the sample variance and sample standard deviation for the following frequency distribution of heart rates...
Calculate the sample variance and sample standard deviation for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 61 - 66 10 67 - 72 6 73 - 78 14 79 - 84 5 85 - 90 14
Calculate the sample standard deviation and sample variance for the following frequency distribution of final exam...
Calculate the sample standard deviation and sample variance for the following frequency distribution of final exam scores in a statistics class. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Lower Bound   Upper Bound   Frequency 56 _____________64 _________13 65 _____________73 _________9 74 _____________82 _________4 83 _____________91 _________10 92 _____________100 _________6
Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates...
Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per MinuteClass Frequency 61 - 66 12 67 - 72 3 73 - 78 9 79 - 84 11 85 - 90 13
Calculate the sample mean and sample variance for the following frequency distribution of hourly wages for...
Calculate the sample mean and sample variance for the following frequency distribution of hourly wages for a sample of pharmacy assistants. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Hourly Wages (in Dollars) Class Frequency 6.51 - 8.506.51 - 8.50 5050 8.51 - 10.508.51 - 10.50 1818 10.51 - 12.5010.51 - 12.50 4242 12.51 - 14.5012.51 - 14.50 2020 14.51 - 16.5014.51 - 16.50 4646 Copy Data Sample Mean:...
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative...
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your final answers to 2 decimal places.) x −32 −20 −10 −5 P(X = x) 0.46 0.24 0.18 0.12
1. Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution....
1. Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. X -23 17 -9 -3 P(X=x) 0.5 0.25 0.15 0.19 2. A marketing firm is considering making up to three new hires. Given its specific needs, the form feels that there is a 60% chance of hiring at least two candidates. There is only a 5% chance that it will not make any hires and a 10% chance that it will make all three...
Given the following sample data, calculate the range, variance and standard deviation by hand:
Given the following sample data, calculate the range, variance and standard deviation by hand: 3, -6, 2, 0, -9, 15, 11, 7.
Find the standard? deviation, s, of sample data summarized in the frequency distribution table below by...
Find the standard? deviation, s, of sample data summarized in the frequency distribution table below by using the formula?below, where x represents the class? midpoint, f represents the class? frequency, and n represents the total number of sample values.? Also, compare the computed standard deviation to the standard deviation obtained from the original list of data?values, 11.1 sequals=StartRoot StartFraction n left bracket Summation from nothing to nothing left parenthesis f times x squared right parenthesis right bracket minus left bracket...
Find the standard? deviation, s, of sample data summarized in the frequency distribution table below by...
Find the standard? deviation, s, of sample data summarized in the frequency distribution table below by using the formula? below, where x represents the class? midpoint, f represents the class? frequency, and n represents the total number of sample values.? Also, compare the computed standard deviation to the standard deviation obtained from the original list of data? values, 11.1. sequalsStartRoot StartFraction n left bracket Summation from nothing to nothing left parenthesis f times x squared right parenthesis right bracket minus...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT