The five-number summary for midterm scores (number of points; the maximum possible score was 50 points) from an intro stats class is: Min Q1 Median Q3 Max 13.5 32 39 43.5 48.5 a. Calculate the fences for a modified boxplot. Be sure to write the formulas and show your work. b. Are any of the midterms scores outliers? Explain. c. Would you expect the mean midterm score of all students who took the midterm to be higher or lower than the median? Explain. d. What is the best measure for the center of this distribution? Why? 2. Light bulbs are measured in lumens (light output), watts (energy used), and hours (life). A standard white light bulb has a mean life of 675 hours and a standard deviation of 50 hours. A soft white light bulb has a mean life of 700 hours and a standard deviation of 35 hours. In a test at a local science competition, both light bulbs lasted 750 hours. Use z-scores to determine which light bulb’s life span was more notable. Round your answers to two decimal places. 3. An 8th grade class develops a linear model that predicts the number of cheerios that fit on the circumference of a plate by using the diameter in inches. Their model is . a. Interpret the slope of your model in context. b. What is the predicted number of cheerios for a plate with a diameter of 11? c. The observed number of cheerios for a plate with a diameter of 11 inches is 51. Find the residual for a plate with a diameter of 11 and interpret its meaning. d. Based on your residual from part c, was this an over- or underestimate?

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 26PFA

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The five-number summary for midterm scores (number of points; the maximum possible score was 50 points) from an intro stats class is:

Min	Q1	Median	Q3	Max
13.5	32	39	43.5	48.5

a. Calculate the fences for a modified boxplot. Be sure to write the formulas and show your work.

b. Are any of the midterms scores outliers? Explain.

c. Would you expect the mean midterm score of all students who took the midterm to be higher or lower than the median? Explain.

d. What is the best measure for the center of this distribution? Why?

2. Light bulbs are measured in lumens (light output), watts (energy used), and hours (life). A standard white light bulb has a mean life of 675 hours and a standard deviation of 50 hours. A soft white light bulb has a mean life of 700 hours and a standard deviation of 35 hours. In a test at a local science competition, both light bulbs lasted 750 hours. Use z-scores to determine which light bulb’s life span was more notable. Round your answers to two decimal places.

3. An 8th grade class develops a linear model that predicts the number of cheerios that fit on the circumference of a plate by using the diameter in inches.

Their model is .

a. Interpret the slope of your model in context.

b. What is the predicted number of cheerios for a plate with a diameter of 11?

c. The observed number of cheerios for a plate with a diameter of 11 inches is 51. Find the residual for a plate with a diameter of 11 and interpret its meaning.

d. Based on your residual from part c, was this an over- or underestimate?

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