In a parachuting contest, the members of one team achieved the distances
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In a parachuting contest, the members of one team achieved the distances

Part A (Putting the Concepts to Work): Completion: Using your reading, answer the following questions:

For each question you are asked to:

a) identify the information given in the question.

b) determine the appropriate formula.

c) substitute the values given into the formula and find the solution.

d) give the final answer.

1. In a parachuting contest, the members of one team achieved the distances shown from the centre of the target landing area.


Identify which data appear to be outliers.

A 0.5 m, 15.9 m

B 0.5 m

C 15.9 m

D None

2. The municipality of Charlesburg records an average daily water consumption of 998 L per household using an unmetered distribution system. The town decides to install water meters at a rate of 100 households per month. After six months, an analysis shows the line of best fit for the average consumption, C, per household, versus the number of meters installed, n, has the equation C = -0.359n + 996. At a level of 300 meters, consumption was 877 L per household. Determine the residual.

A 888.3 L                 C 11.3 L

B 877 L                    D –11.3

3. Watermelons are sold at a grocery store. The scatter plot shows the total bill paid versus the number of watermelons purchased. What is the most likely explanation for the shape of the graph?


A The linear correlation between number of watermelons sold and total bill paid is 1.

B There is no linear correlation between number of watermelons sold and total bill paid.

C The linear correlation between number of watermelons sold and total bill paid is.

D There is a hidden variable, such as a discount for larger purchases.

4. A newspaper reporter surveyed three customers of a fast food outlet at random. One of them reported that the clerk had made an error in giving change during one of the visits to the outlet. The following month, another three random customers were surveyed, and two of them reported incorrect change during a visit to the outlet. The article title read “Math Errors Double in Retail Sector.” This evidence.

A suffers from sample size bias.

B suffers from random sample bias. 

C is highly accurate and should be acted on by management.

D shows that the writer of the article understands scientific sampling techniques.

5. Which statement concerning the graph of monthly sales is the most accurate?

A Sales rebounded robustly after drop in first quarter.

B Sales for the second quarter show a moderate steady rise.

C Sales appear stagnant over last two quarters.

D Sales show overall downward trend.

6. Which headline is most likely to have been intended for a sensational purpose?

A Accident rate in general aviation sector decreases by 1% for third straight month

B Decrease in melanoma rate correlated with increased use of sunblock

C Food bank visits drop after raise in minimum wage

D Employment plummets after overly-generous union contract

7. The graph shown accompanies a newspaper article. Why is the graph misleading?


A The vertical scale does not start at 0, making the rise appear more dramatic.

B There is no indication whether there has been an adjustment for inflation.

C The title implies that the increase in wages is unjustified.

D All of these.

Hint
Sampling bias happens when some associates of a population are scientifically more likely to be carefully chosen in a sample than the rest. Increasing the sample size lean towards reducing the sampling error, thereby making the sample statistics less variable...

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