Stat 3.2 HW
Use software or a calculator to find the range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below. Be careful to account for missing data. F SCALE LENGTH (MI) WIDTH (YD) 3 39.80 400 1 5.00 100 2 0.06 100 2 0.10 200 2 9.00 400 2 14.40 50 0 4.20 50 0 1.52 30 0 10.01 25 0 0.09 50 1 0.20 20 3 6.42 300 5.73 40 0 1.75 50 2 15.00 100 1 0.50 200 0 0.15 10 0 0.38 30 1 0.28 50 0 57.00 50 0 2.87 50 0 0.21 30 1 29.60 10 0 6.00 100 1 2.00 50 4 28.01 800 7.10 100 3 2.29 350 0 0.56 150 1 1.00 50 1 1.00 100 1 0.50 20 1 2.52 50 0 0.51 70 0 0.50 50 1 2.40 450 0 4.09 50 1 2.00 150 1 0.60 80 2 5.00 75 0 0.80 27 1 0.26 75 2 6.00 400 0 3.20 60 4 5.70 1200 0 0.16 50 1 21.00 100 0 1.83 100 3 3.50 150 0 1.00 50 The variance, s2, of the F-scale measurements is
1.3
Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 5.0. Use the range rule of thumb to estimate the value of the standard deviation. 3, 3, 3, 3, 1, 3, 0, 1, 3, 4, 1, 2, 3, 2, 1, 1, 1, 0, 2, 4, 1, 0, 0, 1, , 0, 0, 3, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 3, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 5, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 3, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 3, 0
1.3
Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. 9.7, 9.6, 10.3, 8.8, 9.2, 8.7, 9.6, 9.3, 9.3, 9.2, 8.7 Find the range
1.6 inches
Let a population consist of the values 11 cigarettes, 18 cigarettes, and 19 cigarettes smoked in a day. {19, 11} 4 {19, 18} 0.5 {19, 19} 0 Calculate the mean of the sample mean absolute deviations.
1.8
A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Systolic: 120, 129, 157, 97, 155, 124, 115, 135, 126, 118 Diastolic: 80, 77, 74, 50, 88, 89, 58, 65, 74, 80 Find the coefficient of variation for systolic
14.1%
A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Systolic: 120, 129, 157, 97, 155, 124, 115, 135, 126, 118 Diastolic: 80, 77, 74, 50, 88, 89, 58, 65, 74, 80 Find the coefficient of variation for diastolic
17%
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. 16, 1, 6, 15, 16, 10, 7, 9, 17, 13, 20, 10, 8, 18 Find the range
19 huricanes
Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. 34, 42, 60, 41, 0, 37, 46, 35, 55, 34, 49, 30, 0, 0 Find the standard deviation
19.8 mg per 12oz of drink
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1=not attractive; 10=extremely attractive). 10, 6, 8, 5, 4, 5, 1, 6, 2, 6, 3, 1, 7, 8, 5, 4, 8, 3, 5, 10, 10, 3, 2, 4, 2, 6 Find the standard deviaion
2.7
A group of adult males has foot lengths with a mean of 26.77 cm and a standard deviation of 1.34 cm. Use the range rule of thumb to identify the limits separating values that are significantly low.
24.09 cm or lower
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. 16, 1, 6, 15, 16, 10, 7, 9, 17, 13, 20, 10, 8, 18 Find the variance
29.2 hurricanes squared
A group of adult males has foot lengths with a mean of 26.77 cm and a standard deviation of 1.34 cm. Use the range rule of thumb to identify the limits separating values that are significantly high
29.45 cm or higher
Let a population consist of the values 11 cigarettes, 18 cigarettes, and 19 cigarettes smoked in a day. {19, 11} 4 {19, 18} 0.5 {19, 19} 0 Calculate the population mean absolute deviation.
3.3
Use software or a calculator to find the range, variance, and standard deviation of the following body temperatures, in degrees Fahrenheit, taken at 12:00 A.M. 98.8, 98.5, 98.4, 98.3, 98.8, 98, 98.4, 98, 98.6, 99, 98.4, 98.3, 98.1, 96.8, 97.2, 99.1, 97.2, 97.9, 98.8, 98, 98, 98.2, 98.5, 97.1, 98.7, 97.4, 98.4, 98.9, 99.9, 97, 97.2, 97.9, 98.5, 99.7, 98.3, 99.3, 98.3, 98.5, 98.2, 98.1, 97, 98.5, 99, 98.1, 97.5, 97.9, 98.2, 98.8, 98.5, 98.7, 97.5, 99.1, 96.7, 97.2, 97.5, 96.5, 97.2, 97, 97.8, 98.1, 97.1, 98.1, 97.1, 97.4, 97.8, 98.4, 98.7, 99.2, 98.1, 97.6, 97.4, 96.9, 99.6, 98.1, 99.1, 96.8, 98.1, 99.1, 98.7, 97.4, 98, 99.5, 97.3, 98.1, 98.5, 98.2, 98.7, 97.5, 98.1, 97, 98.5, 98.9, 98.6, 98.5, 99, 98.8, 99.3, 98.3, 98.1, 98.7, 98.2, 98.9, 98.8, 98.9, 98.9, 99.1 Find the range
3.4 F
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. 3.31, 2.44, 2.58, 2.42, 2.79, 2.40, 2.21, 2.41, 1.91, 1.45, 2.86, 1.73, 2.00, 2.35, 2.31, 2.70, 4.74, 2.89, 3.39, 2.72, 2.80, 3.44, 3.94, 3.00, 3.88, 3.44, 3.10, 2.92, 2.71, 3.60, 2.86, 2.38, 3.02, 3.19, 2.56, 3.58, 3.20, 2.68, 2.33, 2.44, 2.82, 3.93, 2.50, 2.92, 2.93, 3.43, 2.27, 2.58, 2.90, 3.11, 2.21, 1.13, 1.93, 3.98, 2.57, 2.82, 2.36, 2.30, 1.51, 2.78, 1.95, 1.57, 2.44, 2.33, 2.07, 1.54, 3.21, 1.49, 1.82, 2.54, 1.67, 2.36, 2.41, 2.09, 2.20, 2.74, 2.03, 2.84, 2.43, 2.67, 1.69, 2.85, 1.82, 1.99, 1.83, 2.53, 1.97, 2.17, 3.67, 1.54, 3.22, 2.46, 1.87, 1.50, 2.77, 3.26, 3.85, 2.75, 2.44, 2.74, 2.54, 1.63, 2.17, 3.05, 2.33, 1.50, 1.91, 2.35, 2.65, 1.42, 1.39, 1.78, 2.24, 2.32, 2.45, 1.74, 2.39, 2.41, 2.49, 2.44 Find the range
3.61
Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. 34, 42, 60, 41, 0, 37, 46, 35, 55, 34, 49, 30, 0, 0 Find the variance
390.8 (mg per 12oz of drink)squared
Use software or a calculator to find the range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below. Be careful to account for missing data. F SCALE LENGTH (MI) WIDTH (YD) 3 39.80 400 1 5.00 100 2 0.06 100 2 0.10 200 2 9.00 400 2 14.40 50 0 4.20 50 0 1.52 30 0 10.01 25 0 0.09 50 1 0.20 20 3 6.42 300 5.73 40 0 1.75 50 2 15.00 100 1 0.50 200 0 0.15 10 0 0.38 30 1 0.28 50 0 57.00 50 0 2.87 50 0 0.21 30 1 29.60 10 0 6.00 100 1 2.00 50 4 28.01 800 7.10 100 3 2.29 350 0 0.56 150 1 1.00 50 1 1.00 100 1 0.50 20 1 2.52 50 0 0.51 70 0 0.50 50 1 2.40 450 0 4.09 50 1 2.00 150 1 0.60 80 2 5.00 75 0 0.80 27 1 0.26 75 2 6.00 400 0 3.20 60 4 5.70 1200 0 0.16 50 1 21.00 100 0 1.83 100 3 3.50 150 0 1.00 50 The range of the F-scale measurements is
4
Let a population consist of the values 11 cigarettes, 18 cigarettes, and 19 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. {19, 11} {19, 18} {19, 19}
4 0.5 0
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. 16, 1, 6, 15, 16, 10, 7, 9, 17, 13, 20, 10, 8, 18 Find the standard deviation
5.4 huricanes
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. If another value, 7.50, is added to those listed in the data set, do the measures of variation change much? 3.31, 2.44, 2.58, 2.42, 2.79, 2.40, 2.21, 2.41, 1.91, 1.45, 2.86, 1.73, 2.00, 2.35, 2.31, 2.70, 4.74, 2.89, 3.39, 2.72, 2.80, 3.44, 3.94, 3.00, 3.88, 3.44, 3.10, 2.92, 2.71, 3.60, 2.86, 2.38, 3.02, 3.19, 2.56, 3.58, 3.20, 2.68, 2.33, 2.44, 2.82, 3.93, 2.50, 2.92, 2.93, 3.43, 2.27, 2.58, 2.90, 3.11, 2.21, 1.13, 1.93, 3.98, 2.57, 2.82, 2.36, 2.30, 1.51, 2.78, 1.95, 1.57, 2.44, 2.33, 2.07, 1.54, 3.21, 1.49, 1.82, 2.54, 1.67, 2.36, 2.41, 2.09, 2.20, 2.74, 2.03, 2.84, 2.43, 2.67, 1.69, 2.85, 1.82, 1.99, 1.83, 2.53, 1.97, 2.17, 3.67, 1.54, 3.22, 2.46, 1.87, 1.50, 2.77, 3.26, 3.85, 2.75, 2.44, 2.74, 2.54, 1.63, 2.17, 3.05, 2.33, 1.50, 1.91, 2.35, 2.65, 1.42, 1.39, 1.78, 2.24, 2.32, 2.45, 1.74, 2.39, 2.41, 2.49, 2.44 Find the range
6.37
Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. 34, 42, 60, 41, 0, 37, 46, 35, 55, 34, 49, 30, 0, 0 Find the range
60 mg per 12oz of drin
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1=not attractive; 10=extremely attractive). 10, 6, 8, 5, 4, 5, 1, 6, 2, 6, 3, 1, 7, 8, 5, 4, 8, 3, 5, 10, 10, 3, 2, 4, 2, 6 Find the variance
7.3
Listed below are amounts (in millions of dollars) collected from parking meters by a security service company and other companies during similar time periods. Security Service Company: 1.4, 1.8, 1.7, 1.6, 1.6, 1.5, 1.5, 1.6, 1.4, 1.6 Other companies: 1.6, 1.9, 1.7, 1.7, 1.8, 1.9, 1.8, 1.5, 1.7, 1.8 Find the coefficient of variation for other companies
7.3%
Listed below are amounts (in millions of dollars) collected from parking meters by a security service company and other companies during similar time periods. Security Service Company: 1.4, 1.8, 1.7, 1.6, 1.6, 1.5, 1.5, 1.6, 1.4, 1.6 Other companies: 1.6, 1.9, 1.7, 1.7, 1.8, 1.9, 1.8, 1.5, 1.7, 1.8 Find the coefficient of variation for security service company
7.9%
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1=not attractive; 10=extremely attractive). 10, 6, 8, 5, 4, 5, 1, 6, 2, 6, 3, 1, 7, 8, 5, 4, 8, 3, 5, 10, 10, 3, 2, 4, 2, 6 Find the range
9
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. Interval Frequency 20-26 2 27-33 1 34-40 6 41-47 4 48-54 9 55-61 33 62-68 33
9.9
A random sample of 10 subjects have weights with a standard deviation of 9.9942 kg. What is the variance of their weights? Be sure to include the appropriate units with the result.
99.8840 kg squared .
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.6 and a standard deviation of 62.4. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. What is the approximate percentage of women with platelet counts between 185.2 and 310.0?
Approximately 68% of women in this group have platelet counts between 185.2 and 310.0.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.21°F and a standard deviation of 0.65°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures between 96.91°F and 99.51°F?
Approximately 95% of healthy adults in this group have body temperatures between 96.91°F and 99.51°F.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.21°F and a standard deviation of 0.65°F. Using the empirical rule, find each approximate percentage below. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.26°F and 100.16°F?
Approximately 99.7% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.26°F and 100.16°F.
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.6 and a standard deviation of 62.4. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 122.8 and 372.4?
Approximately 95% of women in this group have platelet counts within 2 standard deviations of the mean, or between 122.8 and 372.4.
Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. 1.45, 1.23, 0.52, 1.34, 0.98, 0.76, 1.08, 1.36, 1.27, 1.21, 1.19 If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?
No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.
Listed below are amounts (in millions of dollars) collected from parking meters by a security service company and other companies during similar time periods. Security Service Company: 1.4, 1.8, 1.7, 1.6, 1.6, 1.5, 1.5, 1.6, 1.4, 1.6 Other companies: 1.6, 1.9, 1.7, 1.7, 1.8, 1.9, 1.8, 1.5, 1.7, 1.8 Do the limited data listed here show evidence of stealing by the security service company's employees? Consider a difference of greater than 1% to be significant.
No. There is not a significant difference in the variation
Which measure of variation is most sensitive to extreme values?
Range
The brain volumes (cm3) of 20 brains have a mean of 1186.9 cm3 and a standard deviation of 129.4 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly high
Significantly high values are 1445.7 cm3 or higher.
The brain volumes (cm3) of 20 brains have a mean of 1186.9 cm3 and a standard deviation of 129.4 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low.
Significantly low values are 928.1 cm3 or lower.
In a study of speed dating, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1=not attractive; 10=extremely attractive). 10, 6, 8, 5, 4, 5, 1, 6, 2, 6, 3, 1, 7, 8, 5, 4, 8, 3, 5, 10, 10, 3, 2, 4, 2, 6 Can the results be used to describe the variation among attractiveness ratings for the population of adult males?
Since it is likely that the male subjects volunteered to participate in speed dating, they may not be representative of all adult males. Therefore, the results cannot be used to describe the population.
Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. 9.7, 9.6, 10.3, 8.8, 9.2, 8.7, 9.6, 9.3, 9.3, 9.2, 8.7 Are the statistics representative of the current population of all people?
Since the measurements were made in 1988, it is not necessarily representative of the population today.
A group of adult males has foot lengths with a mean of 26.77 cm and a standard deviation of 1.34 cm. Select the correct choice below and fill in the answer box(es) to complete your choice.
The adult male foot length of 29.8 cm is significantly high because it is greater than 29.45 cm.
A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Systolic: 120, 129, 157, 97, 155, 124, 115, 135, 126, 118 Diastolic: 80, 77, 74, 50, 88, 89, 58, 65, 74, 80 Compare the variation
The coefficients of variation for each data set are within 5 percentage points of each other. Therefore, the systolic measurements vary about the same as the diastolic measurements.
Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. Consider a difference of 20% between two values of a standard deviation to be significant. How does this computed value compare with the given standard deviation, 11.1? Interval Frequency 20-26 2 27-33 1 34-40 6 41-47 4 48-54 9 55-61 33 62-68 33
The computed values is not significantly different from the given value
Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 5.0. Compare the result to the actual standard deviation of the data, 1.2. 3, 3, 3, 3, 1, 3, 0, 1, 3, 4, 1, 2, 3, 2, 1, 1, 1, 0, 2, 4, 1, 0, 0, 1, , 0, 0, 3, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 3, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 5, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 3, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 3, 0
The estimated standard deviation is less than 0.3 from the actual standard deviation. Thus, the estimated standard deviation is not substantially different from the actual standard deviation.
Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. 16, 1, 6, 15, 16, 10, 7, 9, 17, 13, 20, 10, 8, 18 What important feature of the data is not revealed through the different measures of variation?
The measures of variation reveal nothing about the pattern over time.
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. If another value, 7.50, is added to those listed in the data set, do the measures of variation change much? 3.31, 2.44, 2.58, 2.42, 2.79, 2.40, 2.21, 2.41, 1.91, 1.45, 2.86, 1.73, 2.00, 2.35, 2.31, 2.70, 4.74, 2.89, 3.39, 2.72, 2.80, 3.44, 3.94, 3.00, 3.88, 3.44, 3.10, 2.92, 2.71, 3.60, 2.86, 2.38, 3.02, 3.19, 2.56, 3.58, 3.20, 2.68, 2.33, 2.44, 2.82, 3.93, 2.50, 2.92, 2.93, 3.43, 2.27, 2.58, 2.90, 3.11, 2.21, 1.13, 1.93, 3.98, 2.57, 2.82, 2.36, 2.30, 1.51, 2.78, 1.95, 1.57, 2.44, 2.33, 2.07, 1.54, 3.21, 1.49, 1.82, 2.54, 1.67, 2.36, 2.41, 2.09, 2.20, 2.74, 2.03, 2.84, 2.43, 2.67, 1.69, 2.85, 1.82, 1.99, 1.83, 2.53, 1.97, 2.17, 3.67, 1.54, 3.22, 2.46, 1.87, 1.50, 2.77, 3.26, 3.85, 2.75, 2.44, 2.74, 2.54, 1.63, 2.17, 3.05, 2.33, 1.50, 1.91, 2.35, 2.65, 1.42, 1.39, 1.78, 2.24, 2.32, 2.45, 1.74, 2.39, 2.41, 2.49, 2.44 Do the measures of variation change much with the extra data value?
The ranges are more than 5 percentage points apart, the variances are more than 5 percentage points apart, and the standard deviations are more than 5 percentage points apart, so all of them change significantly.
Let a population consist of the values 11 cigarettes, 18 cigarettes, and 19 cigarettes smoked in a day. {19, 11} 4 {19, 18} 0.5 {19, 19} 0 What do these values indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around a different value than the population parameter.
Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 14 brands. 34, 42, 60, 41, 0, 37, 46, 35, 55, 34, 49, 30, 0, 0 Are the statistics representative of the population of all cans of the same 14 brands consumed?
The statistics are not necessarily representative of the population of all cans of these brands that are consumed because each brand is weighted equally in the calculations. It is unlikely that each of the 14 brands of soda are consumed equally.
The brain volumes (cm3) of 20 brains have a mean of 1186.9 cm3 and a standard deviation of 129.4 cm3. Is 1465.7 cm3 significantly high?
Yes, because it is above the upper limit separating value
Identify the symbols used for each of the following: (a) sample standard deviation
s
The Range Rule of Thumb roughly estimates the standard deviation of a data set as _______.
s = (range) / 4
Identify the symbols used for each of the following: (c) sample variance
s squared
Use software or a calculator to find the range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below. Be careful to account for missing data. F SCALE LENGTH (MI) WIDTH (YD) 3 39.80 400 1 5.00 100 2 0.06 100 2 0.10 200 2 9.00 400 2 14.40 50 0 4.20 50 0 1.52 30 0 10.01 25 0 0.09 50 1 0.20 20 3 6.42 300 5.73 40 0 1.75 50 2 15.00 100 1 0.50 200 0 0.15 10 0 0.38 30 1 0.28 50 0 57.00 50 0 2.87 50 0 0.21 30 1 29.60 10 0 6.00 100 1 2.00 50 4 28.01 800 7.10 100 3 2.29 350 0 0.56 150 1 1.00 50 1 1.00 100 1 0.50 20 1 2.52 50 0 0.51 70 0 0.50 50 1 2.40 450 0 4.09 50 1 2.00 150 1 0.60 80 2 5.00 75 0 0.80 27 1 0.26 75 2 6.00 400 0 3.20 60 4 5.70 1200 0 0.16 50 1 21.00 100 0 1.83 100 3 3.50 150 0 1.00 50 Since the data are missing at random,
the tornadoes with missing values can be deleted from the data set.
The square of the standard deviation is called the _______.
variance
Identify the symbols used for each of the following: (b) population standard deviation
σ
Identify the symbols used for each of the following: (d) population variance.
σ squared
The brain volumes (cm3) of 50 brains vary from a low of 916 cm3 to a high of 1498 cm3. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 173.3 cm3, assuming the estimate is accurate if it is within 15 cm3.
- 145.5 - The approximation is not accurate because the error of the range rule of thumb's approximation is greater than 15 cm3.
Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. 1.45, 1.23, 0.52, 1.34, 0.98, 0.76, 1.08, 1.36, 1.27, 1.21, 1.19 Find the sample variance
0.077 (W / kg) squared
Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. 9.7, 9.6, 10.3, 8.8, 9.2, 8.7, 9.6, 9.3, 9.3, 9.2, 8.7 Find the variance
0.23 inches squared
Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. 1.45, 1.23, 0.52, 1.34, 0.98, 0.76, 1.08, 1.36, 1.27, 1.21, 1.19 Find the standard deviation
0.278 W / kg
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. 3.31, 2.44, 2.58, 2.42, 2.79, 2.40, 2.21, 2.41, 1.91, 1.45, 2.86, 1.73, 2.00, 2.35, 2.31, 2.70, 4.74, 2.89, 3.39, 2.72, 2.80, 3.44, 3.94, 3.00, 3.88, 3.44, 3.10, 2.92, 2.71, 3.60, 2.86, 2.38, 3.02, 3.19, 2.56, 3.58, 3.20, 2.68, 2.33, 2.44, 2.82, 3.93, 2.50, 2.92, 2.93, 3.43, 2.27, 2.58, 2.90, 3.11, 2.21, 1.13, 1.93, 3.98, 2.57, 2.82, 2.36, 2.30, 1.51, 2.78, 1.95, 1.57, 2.44, 2.33, 2.07, 1.54, 3.21, 1.49, 1.82, 2.54, 1.67, 2.36, 2.41, 2.09, 2.20, 2.74, 2.03, 2.84, 2.43, 2.67, 1.69, 2.85, 1.82, 1.99, 1.83, 2.53, 1.97, 2.17, 3.67, 1.54, 3.22, 2.46, 1.87, 1.50, 2.77, 3.26, 3.85, 2.75, 2.44, 2.74, 2.54, 1.63, 2.17, 3.05, 2.33, 1.50, 1.91, 2.35, 2.65, 1.42, 1.39, 1.78, 2.24, 2.32, 2.45, 1.74, 2.39, 2.41, 2.49, 2.44 Find the variance
0.425
Listed below are foot lengths in inches for 11 randomly selected people taken in 1988. 9.7, 9.6, 10.3, 8.8, 9.2, 8.7, 9.6, 9.3, 9.3, 9.2, 8.7 Find the standard deviation
0.48 inches
Use software or a calculator to find the range, variance, and standard deviation of the following body temperatures, in degrees Fahrenheit, taken at 12:00 A.M. 98.8, 98.5, 98.4, 98.3, 98.8, 98, 98.4, 98, 98.6, 99, 98.4, 98.3, 98.1, 96.8, 97.2, 99.1, 97.2, 97.9, 98.8, 98, 98, 98.2, 98.5, 97.1, 98.7, 97.4, 98.4, 98.9, 99.9, 97, 97.2, 97.9, 98.5, 99.7, 98.3, 99.3, 98.3, 98.5, 98.2, 98.1, 97, 98.5, 99, 98.1, 97.5, 97.9, 98.2, 98.8, 98.5, 98.7, 97.5, 99.1, 96.7, 97.2, 97.5, 96.5, 97.2, 97, 97.8, 98.1, 97.1, 98.1, 97.1, 97.4, 97.8, 98.4, 98.7, 99.2, 98.1, 97.6, 97.4, 96.9, 99.6, 98.1, 99.1, 96.8, 98.1, 99.1, 98.7, 97.4, 98, 99.5, 97.3, 98.1, 98.5, 98.2, 98.7, 97.5, 98.1, 97, 98.5, 98.9, 98.6, 98.5, 99, 98.8, 99.3, 98.3, 98.1, 98.7, 98.2, 98.9, 98.8, 98.9, 98.9, 99.1 Find the variance
0.55 (F) squared
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. If another value, 7.50, is added to those listed in the data set, do the measures of variation change much? 3.31, 2.44, 2.58, 2.42, 2.79, 2.40, 2.21, 2.41, 1.91, 1.45, 2.86, 1.73, 2.00, 2.35, 2.31, 2.70, 4.74, 2.89, 3.39, 2.72, 2.80, 3.44, 3.94, 3.00, 3.88, 3.44, 3.10, 2.92, 2.71, 3.60, 2.86, 2.38, 3.02, 3.19, 2.56, 3.58, 3.20, 2.68, 2.33, 2.44, 2.82, 3.93, 2.50, 2.92, 2.93, 3.43, 2.27, 2.58, 2.90, 3.11, 2.21, 1.13, 1.93, 3.98, 2.57, 2.82, 2.36, 2.30, 1.51, 2.78, 1.95, 1.57, 2.44, 2.33, 2.07, 1.54, 3.21, 1.49, 1.82, 2.54, 1.67, 2.36, 2.41, 2.09, 2.20, 2.74, 2.03, 2.84, 2.43, 2.67, 1.69, 2.85, 1.82, 1.99, 1.83, 2.53, 1.97, 2.17, 3.67, 1.54, 3.22, 2.46, 1.87, 1.50, 2.77, 3.26, 3.85, 2.75, 2.44, 2.74, 2.54, 1.63, 2.17, 3.05, 2.33, 1.50, 1.91, 2.35, 2.65, 1.42, 1.39, 1.78, 2.24, 2.32, 2.45, 1.74, 2.39, 2.41, 2.49, 2.44 Find the variance
0.626
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. 3.31, 2.44, 2.58, 2.42, 2.79, 2.40, 2.21, 2.41, 1.91, 1.45, 2.86, 1.73, 2.00, 2.35, 2.31, 2.70, 4.74, 2.89, 3.39, 2.72, 2.80, 3.44, 3.94, 3.00, 3.88, 3.44, 3.10, 2.92, 2.71, 3.60, 2.86, 2.38, 3.02, 3.19, 2.56, 3.58, 3.20, 2.68, 2.33, 2.44, 2.82, 3.93, 2.50, 2.92, 2.93, 3.43, 2.27, 2.58, 2.90, 3.11, 2.21, 1.13, 1.93, 3.98, 2.57, 2.82, 2.36, 2.30, 1.51, 2.78, 1.95, 1.57, 2.44, 2.33, 2.07, 1.54, 3.21, 1.49, 1.82, 2.54, 1.67, 2.36, 2.41, 2.09, 2.20, 2.74, 2.03, 2.84, 2.43, 2.67, 1.69, 2.85, 1.82, 1.99, 1.83, 2.53, 1.97, 2.17, 3.67, 1.54, 3.22, 2.46, 1.87, 1.50, 2.77, 3.26, 3.85, 2.75, 2.44, 2.74, 2.54, 1.63, 2.17, 3.05, 2.33, 1.50, 1.91, 2.35, 2.65, 1.42, 1.39, 1.78, 2.24, 2.32, 2.45, 1.74, 2.39, 2.41, 2.49, 2.44 Find the standard deviation
0.652
Use software or a calculator to find the range, variance, and standard deviation of the following body temperatures, in degrees Fahrenheit, taken at 12:00 A.M. 98.8, 98.5, 98.4, 98.3, 98.8, 98, 98.4, 98, 98.6, 99, 98.4, 98.3, 98.1, 96.8, 97.2, 99.1, 97.2, 97.9, 98.8, 98, 98, 98.2, 98.5, 97.1, 98.7, 97.4, 98.4, 98.9, 99.9, 97, 97.2, 97.9, 98.5, 99.7, 98.3, 99.3, 98.3, 98.5, 98.2, 98.1, 97, 98.5, 99, 98.1, 97.5, 97.9, 98.2, 98.8, 98.5, 98.7, 97.5, 99.1, 96.7, 97.2, 97.5, 96.5, 97.2, 97, 97.8, 98.1, 97.1, 98.1, 97.1, 97.4, 97.8, 98.4, 98.7, 99.2, 98.1, 97.6, 97.4, 96.9, 99.6, 98.1, 99.1, 96.8, 98.1, 99.1, 98.7, 97.4, 98, 99.5, 97.3, 98.1, 98.5, 98.2, 98.7, 97.5, 98.1, 97, 98.5, 98.9, 98.6, 98.5, 99, 98.8, 99.3, 98.3, 98.1, 98.7, 98.2, 98.9, 98.8, 98.9, 98.9, 99.1 Find the standard deviation
0.74 F
Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. If another value, 7.50, is added to those listed in the data set, do the measures of variation change much? 3.31, 2.44, 2.58, 2.42, 2.79, 2.40, 2.21, 2.41, 1.91, 1.45, 2.86, 1.73, 2.00, 2.35, 2.31, 2.70, 4.74, 2.89, 3.39, 2.72, 2.80, 3.44, 3.94, 3.00, 3.88, 3.44, 3.10, 2.92, 2.71, 3.60, 2.86, 2.38, 3.02, 3.19, 2.56, 3.58, 3.20, 2.68, 2.33, 2.44, 2.82, 3.93, 2.50, 2.92, 2.93, 3.43, 2.27, 2.58, 2.90, 3.11, 2.21, 1.13, 1.93, 3.98, 2.57, 2.82, 2.36, 2.30, 1.51, 2.78, 1.95, 1.57, 2.44, 2.33, 2.07, 1.54, 3.21, 1.49, 1.82, 2.54, 1.67, 2.36, 2.41, 2.09, 2.20, 2.74, 2.03, 2.84, 2.43, 2.67, 1.69, 2.85, 1.82, 1.99, 1.83, 2.53, 1.97, 2.17, 3.67, 1.54, 3.22, 2.46, 1.87, 1.50, 2.77, 3.26, 3.85, 2.75, 2.44, 2.74, 2.54, 1.63, 2.17, 3.05, 2.33, 1.50, 1.91, 2.35, 2.65, 1.42, 1.39, 1.78, 2.24, 2.32, 2.45, 1.74, 2.39, 2.41, 2.49, 2.44 Find the standard deviation
0.792
Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. 1.45, 1.23, 0.52, 1.34, 0.98, 0.76, 1.08, 1.36, 1.27, 1.21, 1.19 Find the range
0.93 W / kg
Use software or a calculator to find the range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below. Be careful to account for missing data. F SCALE LENGTH (MI) WIDTH (YD) 3 39.80 400 1 5.00 100 2 0.06 100 2 0.10 200 2 9.00 400 2 14.40 50 0 4.20 50 0 1.52 30 0 10.01 25 0 0.09 50 1 0.20 20 3 6.42 300 5.73 40 0 1.75 50 2 15.00 100 1 0.50 200 0 0.15 10 0 0.38 30 1 0.28 50 0 57.00 50 0 2.87 50 0 0.21 30 1 29.60 10 0 6.00 100 1 2.00 50 4 28.01 800 7.10 100 3 2.29 350 0 0.56 150 1 1.00 50 1 1.00 100 1 0.50 20 1 2.52 50 0 0.51 70 0 0.50 50 1 2.40 450 0 4.09 50 1 2.00 150 1 0.60 80 2 5.00 75 0 0.80 27 1 0.26 75 2 6.00 400 0 3.20 60 4 5.70 1200 0 0.16 50 1 21.00 100 0 1.83 100 3 3.50 150 0 1.00 50 The standard deviation, s, of the F-scale measurements is
1.1
