Variability — Cumulative exam Answers

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These data tables show sales of the Earn a Million-a-Day At Home video. Read the table, and then examine the graphs below. Week 1 2 3 4 5 Sales 252 246 265 276 280 Graph A Graph B Suppose you were a sales representative for the video and wanted to convince stores to stock more copies. Which graph would you use? Why?

Question illustration
A
Graph B, because it indicates a more marked increase in sales.
B
Graph A, because it indicates how many viewers had better results with the video.
C
Graph A, because it indicates a more marked increase in sales.
D
Graph B, because it indicates how many viewers earned a million.
23

The scores on the last math quiz are summarized in the following frequency table: Score 10 9 8 7 6 5 4 3 2 1 0 Frequency 6 7 5 3 2 1 1 0 0 0 0 The information is then put into the following histogram: Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right.

Question illustration
A
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
B
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
C
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
D
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.
31

Eva is 29 years old and has 2 children, ages 3 and 5. She makes $48,500 a year. Eva decides to buy a $400,000 10-year term policy and then renew the policy for another ten years afterwards. To renew the policy the insurance company charges an extra 40% to her premium rate. Given the options below, assess whether Eva made a wise decision.

Question illustration
A
Eva would have been better off selecting the 20-year term policy.
B
Even with the extra charge for renewal, Eva’s plan is the least expensive.
C
Given that Eva plans to renew, she should have selected the whole life policy.
D
Eva ends up paying the same amount for each policy.
33

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.

A
Ron will meet his monthly goal of exactly $4,123 for retirement.
B
Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.
C
Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.
D
Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

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