Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
6th Edition
ISBN: 9780321914620
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
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Chapter 6.A, Problem 1QQ
To determine

Choosing the right method for finding the mean weight of apples.

Expert Solution & Answer
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Answer to Problem 1QQ

Solution:

As per definition mean is defined to be total of data points divided by number of data points.

In order to find the mean weight of apple so simply find the total weight of all the apples and divide by the number of apples. Which shows that option b is a correct answer.

Explanation of Solution

We have been given three different methods of finding the mean and we have to find the correct method the given methods are as follows.

Mean weight of apples means averaging of weights of apples, all the apples are not of same weight they vary in weight, so to find one weight that is representative of all other weights, find the weight of all the apples and divide by total number of apples and the output will be called as mean.

Formula used:

Mean = Total weight of applesTotal number of apples

Calculation:

For example the weight of all the apples in barrel is 42 kg and total number of apples are 400 so average (mean) weight will be

Mean = 42400 = 0.105 Kg.

Conclusion:

Mean is called an average and in order to find the mean (average) divide the total weight of data points by the total number of data point.

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Chapter 6 Solutions

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

Ch. 6.A - 1. Define and distinguish among mean, median, and...Ch. 6.A - Prob. 2ECh. 6.A - Briefly describe at least two possible sources of...Ch. 6.A - Prob. 4ECh. 6.A - Prob. 5ECh. 6.A - Prob. 6ECh. 6.A - In my data set of 10 exam scores, the mean turned...Ch. 6.A - In my data set of 10 exam scores, the median...Ch. 6.A - I made a distribution of 15 apartment rents in my...Ch. 6.A - Prob. 10ECh. 6.A - The distribution of grades was left-skewed, but...Ch. 6.A - There’s much more variation in the ages of the...Ch. 6.A - Prob. 13ECh. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - Prob. 16ECh. 6.A - 13–18: Mean, Median, and Mode. Compute the mean,...Ch. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - Outlier Coke. Cans of Coca-Cola vary slightly in...Ch. 6.A - Prob. 20ECh. 6.A - Prob. 21ECh. 6.A - Appropriate Average. State, with an explanation,...Ch. 6.A - Prob. 23ECh. 6.A - Appropriate Average. State, with an explanation,...Ch. 6.A - Prob. 25ECh. 6.A - Appropriate Average. State, with an explanation,...Ch. 6.A - Prob. 27ECh. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Prob. 33ECh. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Prob. 35ECh. 6.A - Prob. 36ECh. 6.A - Smooth Distributions. Through each histogram, draw...Ch. 6.A - Smooth Distributions. Through each histogram, draw...Ch. 6.A - Smooth Distributions. Through each histogram, draw...Ch. 6.A - Prob. 40ECh. 6.A - Family Income. Suppose you study family income in...Ch. 6.A - Airline Delays. Suppose you are a scheduler for a...Ch. 6.A - Prob. 43ECh. 6.A - Prob. 44ECh. 6.A - Prob. 45ECh. 6.A - Prob. 46ECh. 6.A - Prob. 47ECh. 6.A - Prob. 48ECh. 6.A - Prob. 49ECh. 6.A - 50. Daily Averages. Cite three examples of...Ch. 6.A - 51. Distributions in the News. Find three recent...Ch. 6.A - Prob. 52ECh. 6.B - The lowest score on an exam was 62, the median...Ch. 6.B - Which of the following is not part of a...Ch. 6.B - The lower quartile for wages at a coffee shop is...Ch. 6.B - Is it possible for a distribution to have a mean...Ch. 6.B - Suppose you are given the mean and just one data...Ch. 6.B - The standard deviation is best described as a...Ch. 6.B - What type of data distribution has a negative...Ch. 6.B - In any distribution, it is always true that a. the...Ch. 6.B - Which data set would you expect to have the...Ch. 6.B - Professors Smith, Jones, and Garcia all got the...Ch. 6.B - Consider two grocery stores at which the mean time...Ch. 6.B - Describe how we define and calculate the range of...Ch. 6.B - Prob. 3ECh. 6.B - Prob. 4ECh. 6.B - Prob. 5ECh. 6.B - Prob. 6ECh. 6.B - Both exams had the same range, so they must have...Ch. 6.B - The highest exam score was in the upper quartile...Ch. 6.B - For the 30 students who took the test, the high...Ch. 6.B - I examined the data carefully, and the range was...Ch. 6.B - The standard deviation for the heights of a group...Ch. 6.B - The mean gas mileage of the compact cars we tested...Ch. 6.B - 13. Big Bank Verification. Find the mean and...Ch. 6.B - Prob. 14ECh. 6.B - Comparing Variations. Consider the following data...Ch. 6.B - Prob. 16ECh. 6.B - Comparing Variations. Consider the following data...Ch. 6.B - Comparing Variations. Consider the following data...Ch. 6.B - Understanding Variation. The following exercises...Ch. 6.B - Understanding Variation. The following exercises...Ch. 6.B - Prob. 21ECh. 6.B - Airline Arrival Times. Two airlines have data on...Ch. 6.B - 23. Portfolio Standard Deviation. The book...Ch. 6.B - Defect Rates. Two factories each produce 1000...Ch. 6.B - Batting Standard Deviation. For the past 100...Ch. 6.B - Prob. 26ECh. 6.B - Prob. 27ECh. 6.B - Prob. 28ECh. 6.B - 29. Quality Control. An auto transmission...Ch. 6.B - Web Data Sets. Go to any website that gives data...Ch. 6.B - Prob. 31ECh. 6.B - Prob. 32ECh. 6.B - Prob. 33ECh. 6.B - Prob. 34ECh. 6.C - Graphs of normal distributions a. always look...Ch. 6.C - In a normal distribution, the mean a. is equal to...Ch. 6.C - In a normal distribution, data values farther from...Ch. 6.C - Prob. 4QQCh. 6.C - In a normal distribution, about 2/3 Of the data...Ch. 6.C - Prob. 6QQCh. 6.C - Prob. 7QQCh. 6.C - Prob. 8QQCh. 6.C - An acquaintance tells you that his IQ is in the...Ch. 6.C - Prob. 10QQCh. 6.C - 1. What is a normal distribution? Briefly describe...Ch. 6.C - 2. What is the 68-95-99.7 rule for normal...Ch. 6.C - 3. What is a standard score? How do you find the...Ch. 6.C - Prob. 4ECh. 6.C - Prob. 5ECh. 6.C - The weights of babies born at Belmont Hospital are...Ch. 6.C - The weights of babies born at Belmont Hospital are...Ch. 6.C - On yesterday's mathematics exam, the standard...Ch. 6.C - My professor graded the final on a curve, and she...Ch. 6.C - Jack is the 50th percentile for height, so he is...Ch. 6.C - Prob. 11ECh. 6.C - Prob. 12ECh. 6.C - Prob. 13ECh. 6.C - Prob. 14ECh. 6.C - Prob. 15ECh. 6.C - Prob. 16ECh. 6.C - Prob. 17ECh. 6.C - Prob. 18ECh. 6.C - Prob. 19ECh. 6.C - The 68-95-99.7 Rule. The resting heart rates for a...Ch. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Prob. 24ECh. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Prob. 26ECh. 6.C - Prob. 27ECh. 6.C - Prob. 28ECh. 6.C - Standard Scores and Percentiles. Use Table 6.3 to...Ch. 6.C - Standard Scores and Percentiles. Use Table 6.3 to...Ch. 6.C - Prob. 31ECh. 6.C - Prob. 32ECh. 6.C - Pregnancy Length. Actual lengths of terms are...Ch. 6.C - Pregnancy Length. Actual lengths of terms are...Ch. 6.C - Prob. 35ECh. 6.C - Prob. 36ECh. 6.C - Prob. 37ECh. 6.C - Prob. 38ECh. 6.C - 39. Is It Likely? Suppose you read that the...Ch. 6.C - Prob. 40ECh. 6.C - GRE Scores. Scores on the verbal Graduate Record...Ch. 6.C - Prob. 42ECh. 6.C - Prob. 43ECh. 6.C - Prob. 44ECh. 6.C - GRE Scores. Scores on the verbal Graduate Record...Ch. 6.C - Prob. 46ECh. 6.C - Prob. 47ECh. 6.C - Prob. 48ECh. 6.C - Prob. 49ECh. 6.C - Normal Demonstration. Do a Web search on the...Ch. 6.C - Normal Distributions. Many data sets described in...Ch. 6.C - Heights of American Men. The heights of American...Ch. 6.D - Prob. 1QQCh. 6.D - Prob. 2QQCh. 6.D - Prob. 3QQCh. 6.D - Prob. 4QQCh. 6.D - Prob. 5QQCh. 6.D - Prob. 6QQCh. 6.D - Consider a survey with a margin of error of 4%. If...Ch. 6.D - Prob. 8QQCh. 6.D - Prob. 9QQCh. 6.D - Prob. 10QQCh. 6.D - Prob. 1ECh. 6.D - Prob. 2ECh. 6.D - Prob. 3ECh. 6.D - Prob. 4ECh. 6.D - Prob. 5ECh. 6.D - Prob. 6ECh. 6.D - Prob. 7ECh. 6.D - Prob. 8ECh. 6.D - Prob. 9ECh. 6.D - Prob. 10ECh. 6.D - Both agencies conducted their surveys carefully,...Ch. 6.D - If you want to reduce the margin of error in your...Ch. 6.D - Prob. 13ECh. 6.D - Prob. 14ECh. 6.D - Prob. 15ECh. 6.D - Prob. 16ECh. 6.D - Prob. 17ECh. 6.D - Prob. 18ECh. 6.D - Prob. 19ECh. 6.D - Prob. 20ECh. 6.D - Human Body Temperature. A study by University of...Ch. 6.D - Seat Belts and Children. In a study of children...Ch. 6.D - SAT Preparation. A study of 75 students who took...Ch. 6.D - Weight by Age. A National Health Survey determined...Ch. 6.D - Margin of Error. Find the margin of error and the...Ch. 6.D - Prob. 26ECh. 6.D - Prob. 27ECh. 6.D - Prob. 28ECh. 6.D - Prob. 29ECh. 6.D - 25-32: Margin of Error. Find the margin of error...Ch. 6.D - Prob. 31ECh. 6.D - Prob. 32ECh. 6.D - Prob. 33ECh. 6.D - Prob. 34ECh. 6.D - Prob. 35ECh. 6.D - Prob. 36ECh. 6.D - Prob. 37ECh. 6.D - Prob. 38ECh. 6.D - 39-44: Hypothesis Tests. The following exercises...Ch. 6.D - 39-44: Hypothesis Tests. The following exercises...Ch. 6.D - 39-44: Hypothesis Tests. The following exercises...Ch. 6.D - 39-44: Hypothesis Tests. The following exercises...Ch. 6.D - 39-44: Hypothesis Tests. The following exercises...Ch. 6.D - Prob. 44ECh. 6.D - Prob. 45ECh. 6.D - Prob. 46ECh. 6.D - Prob. 47ECh. 6.D - Better Margin of Error. Suppose you want to...Ch. 6.D - Prob. 49ECh. 6.D - Recent Polls. Visit the websites of polling...Ch. 6.D - Prob. 52ECh. 6.D - Statistical Significance. Find a recent news...Ch. 6.D - Prob. 55ECh. 6.D - Hypothesis Testing. Find a news report describing...
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