HW 2-3

The number of hospital beds in a sample of 20 hospitals is shown below. Construct a frequency distribution and a frequency histogram for the data set using 5 classes. Describe the shape of the histogram as​ symmetric, uniform, negatively​ skewed, positively​ skewed, or none of these. 163,162,130,130,184,161,169,219,140,140,189,210,155,255,261,240,290,134,207 CLASS 130-162 163-195 196-228 229-261 262-294 Which histogram should be used? Describe the shape of the histogram as​ symmetric, uniform, negatively​ skewed, positively​ skewed, or none of these. Choose the correct answer below. A. The histogram is uniform because the classes all have approximately the same height. B. The histogram is negatively skewed because the left tail is longer than the right tail. C. The histogram is​ symmetric, but not​ uniform, because the two halves are approximately mirror images. D. The histogram is positively skewed because the right tail is longer than the left tail. E. The histogram has none of these shapes.

What is the frequency in each class? 130-162 8 163-195 5 196-228 3 229-261 3 262-294 1 Which histogram should be used? D. Describe the shape of the histogram as​ symmetric, uniform, negatively​ skewed, positively​ skewed, or none of these. Choose the correct answer below. D. The histogram is positively skewed because the right tail is longer than the left tail.

A student receives the following​ grades, with an A worth 4​ points, a B worth 3​ points, a C worth 2​ points, and a D worth 1 point. What is the​ student's weighted mean grade point​ score? B in 3 two​-credit classes D in 1 three​-credit class A in 1 three​-credit class C in 1 four​-credit class Mean grade point score is enter your response here. ​(Round to the nearest tenth as​ needed.)

Mean grade point score is 2.6

The mean scores for students in a statistics course​ (by major) are shown below. What is the mean score for the​ class? 9 engineering​ majors: 85 5 math​ majors: 90 13 business​ majors: 81 The​ class's mean score is ______? ​(Type an integer or a decimal rounded to two decimal places as​ needed.)

84

A data set includes the entries 3​,4​,7​,9​,9​,and 12. Complete the data set with an entry between 1 and 12 so that the median and mode of the set are equal.

9

The scores and their percent of the final grade for a statistics student are given. What is the​ student's weighted mean​ score? Score / Percent of final grade Homework 83 / 20 Quiz 82 / 15 Quiz 94 / 15 Project 95 / 25 Final Exam 93 / 25 What is the weighted mean score?

90

Match the frequency distribution of 200 rolls of a dodecahedron​ (a 12-sided​ die) with one of the histograms shown below.

A.

Determine whether the following statement is true or false. If it is​ false, rewrite it as a true statement. The mean is the measure of central tendency most likely to be affected by an outlier. Question content area bottom Part 1 Choose the correct answer below. A. The statement is false. The mode is the measure of central tendency most likely to be affected by an outlier. B. The statement is true. C. The statement is false. The median is the measure of central tendency most likely to be affected by an outlier. D. The statement is false. Outliers do not affect any measure of central tendency.

B. The statement is true.

The responses of a sample of 5345 shoppers who were asked how their purchases are made are shown in the table. Find the​ mean, the​ median, and the mode of the​ data, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 1162 2261 850 1072 Find the mean. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The mean is ______? ​(Round to one decimal place as​ needed.) B. The mean cannot be calculated because the data are at the nominal level of measurement. C. The mean cannot be calculated because there is an even number of data entries. D. The mean cannot be calculated because the sample size is too small. Does the mean represent the center of the​ data? Choose the correct answer below. A. The mean represents the center of the data set. B. The mean does not represent the center because it is the greatest data entry. C. The mean does not represent the center because it is the least data entry. D. The mean does not represent the center because it is not a data entry. E.. The data set does not have a mean. Find the mean. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The mean is ______? ​(Round to one decimal place as​ needed.) B. The mean cannot be calculated because the data are at the nominal level of measurement. C. The mean cannot be calculated because there is an even number of data entries. D. The mean cannot be calculated because the sample size is too small. Does the mean represent the center of the​ data? Choose the correct answer below. A. The mean represents the center of the data set. B. The mean does not represent the center because it is the greatest data entry. C. The mean does not represent the center because it is the least data entry. D. The mean does not represent the center because it is not a data entry. E.. The data set does not have a mean.

B. The mean cannot be calculated because the data are at the nominal level of measurement. E.. The data set does not have a mean.

Construct the described data set. The entries in the data set cannot all be the same. The median and the mode are the same. Question content area bottom Part 1 What is the definition of​ median? A. The data entry that occurs with the greatest frequency. B. The data entry that is far removed from the other entries in the data set. C. The sum of the data entries divided by the number of entries. D. The value that lies in the middle of the data when the data set is ordered.

D. The value that lies in the middle of the data when the data set is ordered.

The heights​ (to the nearest​ inch) of 30 males are shown below. Construct a frequency distribution and a frequency histogram of the data using 5 classes. Describe the shape of the histogram as​ symmetric, uniform, negatively​ skewed, positively​ skewed, or none of these. 67,76,70,68,74,68,65,63,74,69,66,72,66,66,69,73,64,62,71,73,68,72,71,65,70,66,74,72,69,69 Construct a frequency distribution of the data using 5 classes. Use the minimum data entry as the lower limit of the first class. Use the smallest whole number class width possible. What are the classes? What are the Frequencies? What are the midpoints? Describe the shape of the histogram. Choose the correct answer below. A. Negatively skewed B. Uniform C. Symmetric D. Positively skewed E. None of these

class f mid 62-64 3 63 65-67 7 66 68-70 9 69 71-73 7 72 74-76 4 75 Which histogram? D. Describe the shape of the histogram. Choose the correct answer below. C. Symmetric

The ages of the members of a legislature from a particular state are listed below. Find the​ mean, median, and mode of the data​ set, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 69.41.33.43.52.43.36.51.44 Find the median age. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The median age is ____? ​(Round to one decimal place as​ needed.) B. There is no median age. Does the median represent the center of the​ data? A. The median represents the center. B. The median does not represent the center because it is the largest data value. C. The median does not represent the center because it is not a data value. D. The median does not represent the center because it is the smallest data value.

A. 43 A. The median represents the center.

For the month of​ April, a checking account has a balance of ​$527 for 25 ​days, ​$2329 for 3 days​, and ​$282 for 2 days. What is the​ account's mean daily balance for​ April? The​ account's mean daily balance for April is approximately______? ​(Round to two decimal places as​ needed.)

$690.87

Approximate the mean of the frequency distribution for the ages of the residents of a town. Age Frequency ​0-9 25 ​10-19 22 ​20-29 11 ​30-39 20 ​40-49 23 ​50-59 48 ​60-69 38 ​70-79 15 ​80-89 6 The approximate mean age is _____ years.

The approximate mean age is _____ years. 43.8

The gas mileages​ (in miles per​ gallon) for 29 cars are shown in the frequency distribution. Approximate the mean of the frequency distribution. Gas Mileage -Frequency 25-28 13 29-32 10 33-36 1 37-40 5 The approximate mean of the frequency distribution is _______?

The approximate mean of the frequency distribution is _______? 30.2

The ages of the members of a legislature from a particular state are listed below. Find the​ mean, median, and mode of the data​ set, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 69.41.33.43.52.43.36.51.44 Find the mode of the ages. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The​ mode(s) of the ages is​ (are) enter your response here. ​(Round to one decimal place as needed. Use a comma to separate answers as​ needed.) B. There is no mode Does​ (Do) the​ mode(s) represent the center of the​ data? A. The​ mode(s) represent the center of the data. B. The​ mode(s) does​ (do) not represent the center because it​ (one) is the largest data value. C. The​ mode(s) does​ (do) not represent the center because it​ (one) is the smallest data value. D. There is no mode. E. The​ mode(s) does​ (do) not represent the center because it​ (they) is​ (are) not a data value.

A. 43 A. The​ mode(s) represent the center of the data.

The ages of the members of a legislature from a particular state are listed below. Find the​ mean, median, and mode of the data​ set, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 69.41.33.43.52.43.36.51.44 Question content area bottom Part 1 Find the mean age. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The mean age is ______? ​(Round to one decimal place as​ needed.) B. There is no mean age. Does the mean represent the center of the​ data? A. The mean represents the center. B. The mean does not represent the center because it is the largest data value. C. The mean does not represent the center because it is the smallest data value. D. The mean does not represent the center because it is not a data value. E. There is no mean age.

A. 45.8 A. The mean represents the center.

The number of credits being taken by a sample of 13​ full-time college students are listed below. Find the​ mean, median, and mode of the​ data, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 8,8,11,11,8,7,7,7,9,7,7,7,10 Does the median represent the center of the​ data? A. The median represents the center. B. The median does not represent the center because it is the smallest data value. C. The median does not represent the center because it is the largest data value. D. The median does not represent the center because it is not a data value. E. The data set does not have a median. Find the mode. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The​ mode(s) is_____? ​(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as​ needed.) B. The data set does not have a mode. Does​ (Do) the​ mode(s) represent the center of the​ data? A. The​ mode(s) represent(s) the center. B. The​ mode(s) does​ (do) not represent the center because it​ (one) is the largest data value. C. The​ mode(s) does​ (do) not represent the center because it​ (they) is​ (are) not a data value. D. The data set does not have a mode. E. The​ mode(s) does​ (do) not represent the center because it​ (one) is the smallest data value.

A. The median represents the center. A. 7 E. The​ mode(s) does​ (do) not represent the center because it​ (one) is the smallest data value.

Determine whether the approximate shape of the distribution in the histogram shown is​ symmetric, uniform, skewed​ left, skewed​ right, or none of these. Justify your answer. Choose the correct answer below. A. The shape of the distribution is skewed right because the bars have a tail to the right. B. The shape of the distribution is uniform because the bars are approximately the same height. C. The shape of the distribution is​ symmetric, but not​ uniform, because a vertical line can be drawn down the​ middle, creating two halves that look approximately the same. D. The shape of the distribution is skewed left because the bars have a tail to the left. E. The shape of the distribution is none of these because the bars do not show any of these general trends.

A. The shape of the distribution is skewed right because the bars have a tail to the right.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. A data set can have the same​ mean, median, and mode. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. A data set cannot have the same median and mode. C. The statement is false. A data set cannot have the same mean and median. D. The statement is false. A data set cannot have the same mean and mode.

A. The statement is true.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. When each data class has the same​ frequency, the distribution is symmetric. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. When each data class has the same​ frequency, the distribution is bimodal. C. The statement is false. When each data class has the same​ frequency, the distribution is skewed left. D. The statement is false. When each data class has the same​ frequency, the distribution is skewed right.

A. The statement is true.

The number of credits being taken by a sample of 13​ full-time college students are listed below. Find the​ mean, median, and mode of the​ data, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 8,8,11,11,8,7,7,7,9,7,7,7,10 Question content area bottom Part 1 Find the mean. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The mean is ____? ​(Type an integer or decimal rounded to one decimal place as​ needed.) B. The data set does not have a mean. Does the mean represent the center of the​ data? A. The mean represents the center. B. The mean does not represent the center because it is the largest data value. C. The mean does not represent the center because it is not a data value. D. The mean does not represent the center because it is the smallest data value. E. The data set does not have a mean. Find the median. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The median is _____? ​(Type an integer or decimal rounded to one decimal place as​ needed.) B. The data set does not have a median.

A. 8.2 A. The mean represents the center. A. 8

Determine whether the approximate shape of the distribution in the histogram shown is​ symmetric, uniform, skewed​ left, skewed​ right, or none of these. Question content area bottom Part 1 Choose the correct answer below. A. The shape of the distribution is approximately symmetric because the bars have a tail to the left and to the right. B. The shape of the distribution is approximately uniform because the bars are approximately the same height. C. The shape of the distribution is approximately skewed right because the bars have a tail to the right. D. The shape of the distribution is approximately skewed left because the bars have a tail to the left. E. The shape of the distribution is none of these because the bars do not show any of these general trends

B. The shape of the distribution is approximately uniform because the bars are approximately the same height.

Choose the data set where the median and mode of the set are equal. A. 2​,2​,2​,3​,4​,4​,4 B. ​1, 1, 6​, 6​, 6​, 9​, 9 C. 3​,3​,12​,12 D. 2​,4​,6​,8​,8​,

B. ​1, 1, 6​, 6​, 6​, 9​, 9

Choose the data set whose mean is not equal to a value in the set. A. 3​,3​,3​,4​,5​,5​,5 B. 4​,4​,14​,14 C. 16, 17, 18, 19, 20 D. 4​,6​,8​,10​,12

B. 4​,4​,14​,14

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. Some quantitative data sets do not have medians. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. Some quantitative data sets do not have means. C. The statement is false. All quantitative data set have medians. D. The statement is false. Some quantitative data sets have more than one median.

C. The statement is false. All quantitative data set have medians.

Construct the described data set. The entries in the data set cannot all be the same. The mean is not representative of a typical number in the data set. Question content area bottom Part 1 What is the definition of​ mean? A. The data entry that occurs with the greatest frequency. B. The value that lies in the middle of the data when the data set is ordered. C. The sum of the data entries divided by the number of entries. D. The data entry that is far removed from the other entries in the data set.

C. The sum of the data entries divided by the number of entries.

The responses of a sample of 5345 shoppers who were asked how their purchases are made are shown in the table. Find the​ mean, the​ median, and the mode of the​ data, if possible. If any measure cannot be found or does not represent the center of the​ data, explain why. 1162 2261 850 1072 Find the mode. Choose the correct answer below. A. Research online and in store, buy online B. Search and buy in store C. Search and buy online D. Research online and in store comma buy in store E. The data set does not have a mode. Does the mode represent a typical entry of the​ data? Choose the correct answer below. A. The mode represents a typical entry of the data set. B. The mode does not represent the center because it is not a data entry. C. The mode does not represent the center because it is the last data entry in the table. D. The mode does not represent the center because it is the first data entry in the table. E. The data set does not have a mode.

C. Search and buy online A. The mode represents a typical entry of the data set.

What is the definition of​ mode? A. The value that lies in the middle of the data when the data set is ordered. B. The data entry that is far removed from the other entries in the data set. C. The sum of the data entries divided by the number of entries. D. The data entry that occurs with the greatest frequency.

D. The data entry that occurs with the greatest frequency.

Without performing any​ calculations, determine which measure of central tendency best represents the graphed data. Explain your reasoning. Choose the correct answer below. A. The mean is the best measure because there are outliers and the data is skewed. B. The mode is the best measure because the data are approximately symmetric. C. The mean is the best measure because the data are at the nominal level of measurement. D. The median is the best measure because the data

D. The median is the best measure because the data

The letters​ A, B, and C are marked on the histogram. Describe the shape of the data. Then determine which is the​ mean, which is the​ median, and which is the mode. Justify your answers. Which description below best describes the shape of the​ distribution? Which description below best describes the shape of the​ distribution? A. Skewed left B. Uniform C. Skewed right D. Symmetric In this​ distribution, how is the mode​ determined? A. The​ mean, median, and mode are all equal. B. The mode cannot be identified. C. The mode is the data entry that has the lowest frequency. D. The mode is the data entry that has the highest frequency. In this​ distribution, how is the mean​ determined? A. The mean cannot be identified. B. The​ mean, median, and mode are all equal. C. The mean is to the left of the median and mode. D. The mean is to the right of the median and mode In this​ distribution, how is the median​ determined? A. The​ mean, median, and mode are all equal. B. The median is to the left of the mean and to the right of the mode. C. The median cannot be identified. D. The median is to the right of the mean and to the left of the mode.

Which description below best describes the shape of the​ distribution? C. Skewed right In this​ distribution, how is the mode​ determined? D. The mode is the data entry that has the highest frequency. The mode is labeled: A. In this​ distribution, how is the mean​ determined? D. The mean is to the right of the median and mode The mean is labeled: C. In this​ distribution, how is the median​ determined? B. The median is to the left of the mean and to the right of the mode. The median is labeled: B.