Performance Task: Applying Probability Concepts — Unit test

Question 1

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?

Revolt · Accepted Answer

Removing the outlier will decrease the spread of the graph of the data set.

Question 2

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which statement must be true?

Revolt · Accepted Answer

z37 is between 2 and 3 standard deviations of the mean.

Question 3

Which set of population data is the least dispersed from its mean?

Revolt · Accepted Answer

6, 2, 2, 2

Question 4

A scientist calculated the mean and standard deviation of a data set to be and . She then found that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?

Revolt · Accepted Answer

147

Question 5

A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accomplish this goal?

Revolt · Accepted Answer

stratified sampling

Question 6

The graph below shows the amount of time Misha spent outside over a 30-day period. How might the graph be considered misleading?

Revolt · Accepted Answer

The y-interval shows exponential increase rather than linear increase.

Question 7

The histogram below shows the number of weeks Jimmy spent different amounts of money to fill the gas tank in his car. If the graph is redrawn so that the scale on the y-axis begins with zero, which aspect of the graph will change the most?

Revolt · Accepted Answer

The difference in the heights of the bars will not appear as great.

Question 8

A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the cost of their electric bill. Would this study be biased? Why or why not?

Revolt · Accepted Answer

Yes, it is biased. Some of the residents who are surveyed may not want to respond to someone who knocks at their door.

Question 9

The histogram below shows the estimated monthly salaries of company employees with different years of experience. How might the graph be misleading?

Revolt · Accepted Answer

The scale on the y-axis overemphasizes the difference in salaries between different experience levels.

Question 10

The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use?

Revolt · Accepted Answer

convenience sampling

Performance Task: Applying Probability Concepts — Unit test Answers

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