Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions. Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? 245 200 195 190 185 185 165 165 165 165 a. Find the mean. The mean is __________________ million. (Type an integer or a decimal rounded to one decimal place as needed.) b. Find the median. The median is ____________________million. (Type an integer or a decimal rounded to one decimal place as needed.) c. 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(are) _________________________million. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) B. There is no mode. d. Find the midrange. The midrange is $nothing million. (Type an integer or a decimal rounded to one decimal place as needed.) e. What do the results tell us about the population of all celebrities? A. The results tell us that all celebrities are expected to have amounts of net worth approximately equal to one of the measures of center found in parts (a) through (d). B. Apart from the fact that all other celebrities have amounts of net worth lower than those given, the results in parts (a), (b), and (d) do not given meaningful results. However, the result from part (c) shows that the most common celebrity net worth is equal to the mode. C. The results tell us that the most common celebrity net worth is the mode, but all other celebrities are expected to have net worths approximately equal to the mean, median, or midrange. D. Apart from the fact that all other celebrities have amounts of net worth lower than those given, nothing meaningful can be known about the population. Based on the nature of the amounts, what can be inferred about their precision? A. The values are all whole numbers, so they appear to be accurate to the nearest whole number. B. The values all end in 0 or 5, so they appear to be rounded estimates. C. Since celebrity information is public, these values can be assumed to be unrounded. D. Since no information is given, nothing can be said about the precision of the given values.
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions. Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision? 245 200 195 190 185 185 165 165 165 165 a. Find the mean. The mean is __________________ million. (Type an integer or a decimal rounded to one decimal place as needed.) b. Find the median. The median is ____________________million. (Type an integer or a decimal rounded to one decimal place as needed.) c. 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(are) _________________________million. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) B. There is no mode. d. Find the midrange. The midrange is $nothing million. (Type an integer or a decimal rounded to one decimal place as needed.) e. What do the results tell us about the population of all celebrities? A. The results tell us that all celebrities are expected to have amounts of net worth approximately equal to one of the measures of center found in parts (a) through (d). B. Apart from the fact that all other celebrities have amounts of net worth lower than those given, the results in parts (a), (b), and (d) do not given meaningful results. However, the result from part (c) shows that the most common celebrity net worth is equal to the mode. C. The results tell us that the most common celebrity net worth is the mode, but all other celebrities are expected to have net worths approximately equal to the mean, median, or midrange. D. Apart from the fact that all other celebrities have amounts of net worth lower than those given, nothing meaningful can be known about the population. Based on the nature of the amounts, what can be inferred about their precision? A. The values are all whole numbers, so they appear to be accurate to the nearest whole number. B. The values all end in 0 or 5, so they appear to be rounded estimates. C. Since celebrity information is public, these values can be assumed to be unrounded. D. Since no information is given, nothing can be said about the precision of the given values.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Question
Find the (a) mean, (b) median, (c) mode , and (d) midrange for the data and then (e) answer the given questions.
Listed below are the highest amounts of net worth (in millions of dollars) of all celebrities. What do the results tell us about the population of all celebrities? Based on the nature of the amounts, what can be inferred about their precision?
245
200
195
190
185
185
165
165
165
165
a. Find the mean.
The mean is
__________________ million.
(Type an integer or a decimal rounded to one decimal place as needed.)
b. Find the median.
The median is
____________________million.
(Type an integer or a decimal rounded to one decimal place as needed.)
c. Find the mode.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The mode(s) is(are)
_________________________million.
(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
There is no mode.
d. Find the midrange.
The midrange is
$nothing
million.(Type an integer or a decimal rounded to one decimal place as needed.)
e. What do the results tell us about the population of all celebrities?
The results tell us that all celebrities are expected to have amounts of net worth approximately equal to one of the measures of center found in parts (a) through (d).
Apart from the fact that all other celebrities have amounts of net worth lower than those given, the results in parts (a), (b), and (d) do not given meaningful results. However, the result from part (c) shows that the most common celebrity net worth is equal to the mode.
The results tell us that the most common celebrity net worth is the mode, but all other celebrities are expected to have net worths approximately equal to the mean, median, or midrange.
Apart from the fact that all other celebrities have amounts of net worth lower than those given, nothing meaningful can be known about the population.
Based on the nature of the amounts, what can be inferred about their precision?
The values are all whole numbers, so they appear to be accurate to the nearest whole number.
The values all end in 0 or 5, so they appear to be rounded estimates.
Since celebrity information is public, these values can be assumed to be unrounded.
Since no information is given, nothing can be said about the precision of the given values.
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