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Home Question Bank Math Statistics Archive 2024 November 25

Statistics Questions from Nov 25,2024

Browse the Statistics Q&A Archive for Nov 25,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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In a medium-sized city, the chamber of commerce often holds fundraisers. It has been studying the attendance at its events based upon the number of hundreds of flyers distributed. It has found that the line of best-fit is represented by event attendance \( =2,400+67 \) (hundred flyers). Find and interpret the residual for the attendance if the chamber hands out 6,300 flyers and has 7,000 people attend the fundraiser. The residual is \( \square \). (Type an integer or a decimal.) The residual is What does it mean to say that data have a positive correlation? Choose the correct answer below. A. There is a relationship that is not linear between the two variables. B. There is a linear relationship between the two variables. C. When the value of one variable increases, the value of the other variable tends to decrease. D. When the value of one variable increases, the value of the other variable tends to increase. What does it mean to say that data have a positive correlation? Standard deviation is always a value that is 0 or \( \square \) The following is a set of data with \( n=10 \) values. \[ \begin{array}{lllllll}5 & 8 & 2 & 1 & 2 & 5 & 4 \\ 11 & 9 & 8\end{array} \] a. Compute the mean. b. Compute the standard deviation. etermine whether the following statement makes sense or does not make sense, and explain the reasoning. he mean can be misleading if you don't know the spread of data ltems. A. The statement does not make sense because the mean is the true center of the data. B. The statement makes sense because mean is not always the true average of the data. C. The statement does not make sense because the mean measures the spread of the data items. D. The statement makes sense because there may exist some outliers (maybe much greater or much less than the rest of the data) in the data items. Chooser below. Fill in the blank so that the resulting statement is true. The difference between the highest and lowest data values in a data set is called the The difference between the highest and lowest data values in a data set is called the Use the data \( 2,3,3,5,5,7 \). Add 3 to each of the numbers. How does this affect the mean? How does this affect the standard deviation? Choose the correct answer below. A. The standard deviation will be increased by 3 , and the mean will remain the same. B. Both of the mean and the standard deviation will remain the same. C. Both of the mean and the standard deviation will be increased. D. The mean will be increased by 3 , and the standard deviation will remain the same. Use the data \( 10,11,12,14,15,16 \). Without actually computing the standard deviation, determine the value below that best approximates the standard deviation. Choose the correct answer below. A. 2 B. 24 C. 7 O D. 12 If a set of test scores has a large range but a small standard deviation, describe what this means about students' performance on the test. Choose the correct answer below. A. Most of students' test scores are around the mean. B. Most of students' test scores are around the mean, except that few students got scores much less than the mean. C. Most of students' test scores are around the mean, except that few students got scores much greater than the mean and few students got scores much less than the mean. D. Most of students' test scores are around the mean, except that few students got scores much greater than the mean.
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