Week 3

Consider the following data. 0,3,7,−10,11,−11 Determine the mean of the given data.

0

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.572.57 and a standard deviation of 0.440.44. Using the empirical rule, what percentage of the students have grade point averages that are at least 3.893.89? Please do not round your answer.

0.15%

The following histogram represents the distribution of scores on a ten point quiz. Which score has the highest frequency?

10

Consider the following data: 5,−11,−11,−11,−14,−14,−14 Calculate the value of the range.

19

Consider the following data: 2,−3,2,2,−3,−3,10 Calculate the value of the sample standard deviation. Round your answer to one decimal place.

4.69

Suppose that IQ scores have a bell-shaped distribution with a mean of 100100 and a standard deviation of 1414. Using the empirical rule, what percentage of IQ scores are between 5858 and 142142?

99.7%

Consider the following data. −4,12,12,−13,−13,12,−13 Copy Data Determine the mean of the given data.

-1

Consider the following data. −11,−4,−4,−4,−11,−11,10 Determine the median of the given data.

-4

Consider the following data. −4,12,12,−13,−13,12,−13 Determine the median of the given data.

-4

Consider the following data. −11,−4,−4,−4,−11,−11,10 Determine the mean of the given data.

-5

Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $⁢9500. Using Chebyshev's Theorem, state the range in which at least 75% of the data will reside. Please do not round your answers

246000 to 284000

The following histogram represents the distribution of scores on a ten point quiz. What is the frequency corresponding to a score of 5?

3

Consider the following data: −7,6,−7,6,−7,6,−11 Calculate the value of the sample standard deviation. Round your answer to one decimal place.

7.62

Consider the following data. 12,7,1,8,11,9 Determine the mean of the given data.

8

Consider the following data. 12,7,1,8,11,9 Determine the median of the given data.

8.5

Consider the following data. −4,12,12,−13,−13,12,−13 Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

bimodal- 12,-13

Consider the following data. −11,−4,−4,−4,−11,−11,10 Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

bimodal: -11, -4

Consider the following sets of sample data: A: 20,58920,589, 21,89921,899, 22,00022,000, 22,11222,112, 22,11322,113, 20,95520,955, 21,42321,423, 20,84520,845, 21,68321,683, 21,71521,715, 21,31521,315, 22,13322,133, 20,10320,103, 20,18220,182 B: 2.912.91, 4.074.07, 3.803.80, 4.794.79, 3.653.65, 4.444.44, 3.383.38, 4.494.49, 3.733.73, 3.113.11, 3.103.10 Copy Data Which of the above sets of sample data has the smaller spread

data set a

Decide if the following statement is true or false. It is possible to have a standard deviation of 520,000 for some data set

true

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 20,20,20,20,20,20,20,20,20,20

0,0,0

For the graph shown, determine which letter represents the mean, the median, and the mode. Letters may be used more than once.

Mean, median, and mode =B

Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9150. Using Chebyshev's Theorem, state the range in which at least 88.9% of the data will reside. Please do not round your answers

$⁢237,550 to $292,450

Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9500. Using Chebyshev's Theorem, state the range in which at least 75% of the data will reside. Please do not round your answers.

$⁢246,000 to $284,000

Consider the following data. 0,3,7,−10,11,−11 Determine the median of the given data.

1.5

Consider the following data: 2,−3,2,2,−3,−3,10 Calculate the value of the range.

13

Consider the following data: Number of Deaths in the U.S. by Drug OverdoseYear200020012002200320042005200620072008Deaths169041690418069180691294012940174931749314083140831690316903127681276813823138231377713777 Find the two-period moving average for year 2008. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

13800

Suppose that IQ scores have a bell-shaped distribution with a mean of 9696 and a standard deviation of 1717. Using the empirical rule, what percentage of IQ scores are less than 7979? Please do not round your answer.

16%

Consider the following data: Number of Deaths in the U.S. by Drug OverdoseYear200020012002200320042005200620072008Deaths173621736216695166951706117061138131381316440164401851418514166181661819640196401369213692 Find the three-period moving average for year 2008. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

16650

Consider the following sets of sample data: A: 20,58920,589, 21,89921,899, 22,00022,000, 22,11222,112, 22,11322,113, 20,95520,955, 21,42321,423, 20,84520,845, 21,68321,683, 21,71521,715, 21,31521,315, 22,13322,133, 20,10320,103, 20,18220,182 B: 2.912.91, 4.074.07, 3.803.80, 4.794.79, 3.653.65, 4.444.44, 3.383.38, 4.494.49, 3.733.73, 3.113.11, 3.103.10 Copy Data For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place

3.35, 16.45

Consider the following data: 5,−11,−11,−11,−14,−14,−14 Calculate the value of the sample variance. Round your answer to one decimal place.

46

The following data represent the test scores for 1818 students in a class on their most recent test. 89 70 55 81 73 73 52 58 53 73 66 75 56 68 81 61 62 74 Determine the leaves for the given data points in the range 50 to 59 for this stem-and-leaf plot.

5- 2,3,5,6,8

Consider the following data: −7,6,−7,6,−7,6,−11 Calculate the value of the sample variance. Round your answer to one decimal place.

58

Consider the following data: 5,−11,−11,−11,−14,−14,−14 Calculate the value of the sample standard deviation. Round your answer to one decimal place.

6.8

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.428.42 and a standard deviation of 1.51.5. Using the empirical rule, what percentage of American women have shoe sizes that are between 6.926.92 and 9.929.92?

68%

Suppose that quiz scores in a beginning statistics class have a mean of 6.46.4 with a standard deviation of 0.60.6. Using Chebyshev's Theorem, state the range in which at least 75%75% of the data will reside. Please do not round your answers.

7.6- 5.2

Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.38cm7.38⁢cm and a standard deviation of 0.45cm0.45⁢cm. Using the empirical rule, what percentage of the apples have diameters that are between 6.48cm6.48⁢cm and 8.28cm8.28⁢cm?

95%

Suppose that IQ scores have a bell-shaped distribution with a mean of 9595 and a standard deviation of 1818. Using the empirical rule, what percentage of IQ scores are between 4141 and 149149?

99.7

Decide if the following statement is true or false. Explain why. If the standard deviation of a data set is zero, then all entries in the data must equal zero.

False, the standard deviation is zero, then all of the data values are equal to the mean

For the following type of data set, would you be more interested in looking at the mean, median, or mode? State your reasoning. The price of similar sofas at different furniture stores

mean, the prices of sofas are quanitative date with no outliers

Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Rate of Fatal Alcohol Impaired Car Crashes per 100100 Million Vehicle Miles of Travel0.290.290.460.460.650.650.650.650.750.750.440.440.380.380.550.550.780.780.300.300.550.550.410.410.770.770.720.720.340.340.600.600.550.550.410.410.650.650.56

mean- 0.54, median- 0.55, mode- 0.65, 0.55

Consider the following data. 12,7,1,8,11,9 Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

no mode

Decide if the following statement is true or false. It is possible to have a variance of 630,000 for some data set.

true

Clara is looking into investing a portion of her recent bonus into the stock market. While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices. Masterful Pocketwatches: Standard deviation of stock prices =$9.65=$⁢9.65 Eye Remember Enterprises: Standard deviation of stock prices =$1.05=$⁢1.05 Based on the data and assuming these trends continue, which company would give Clara a stable long-term investment?

eye remember enterprises , the smaller the standard deviation indicates that eye remember enterprises has less variability in its closing prices than masterful pocketwatches

Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. On Base Percentages for Leading Major League Baseball Players0.4310.4310.4690.4690.4500.4500.4170.4170.4660.4660.4440.4440.3960.3960.4440.4440.4470.4470.4260.4260.4310.4310.4260.4260.4470.4470.4230.4230.4640.4640.4560.4560.4440.4440.4660.4660.4310.4310.462

0.02

Consider the following data: Number of Deaths in the U.S. by Drug OverdoseYear200020012002200320042005200620072008Deaths173621736216695166951706117061138131381316440164401851418514166181661819640196401369213692 Find the two-period moving average for year 2008. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

16666

Consider the following data: −7,6,−7,6,−7,6,−11 Calculate the value of the range.

17

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 6,6,6,6,6,6,6,6,6,

0,0,0

Consider the following data: 2,−3,2,2,−3,−3,10 Calculate the value of the sample variance. Round your answer to one decimal place.

22

The following histogram represents the distribution of scores on a ten point quiz. What is the total number of people who made a score between 0 and 2 inclusive?

24

Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. On Base Percentages for Leading Major League Baseball Players0.4260.4260.3930.3930.4070.4070.4550.4550.4410.4410.4270.4270.4470.4470.3840.3840.4470.4470.4230.4230.4390.4390.4020.4020.4290.4290.3890.3890.3840.3840.4240.4240.4510.4510.4470.4470.4000.4000.466

0.025

Find the 20%20% trimmed mean of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Lengths of Longest 3-Point Kick for NCAA Division 1-A Football29293030313131313535393943434343434344444444464646464747484854545555565657575959 Copy Data

44.3