Unit 10 Post Assessment Review

Which statement about this data set is true?

• The range for the data is 30.

• The outlier for the data is 5.

• The distribution of the data is skewed.

• The distribution of the data is symmetrical.

Raeya worked part-time at a restaurant. The amount of money she earned for each of six weeks is shown.

$45, $81, $38, $45, $31, $69

Raeya earned $22 for working a seventh week. Which statement for these seven weeks is true?

• The mean and the median both decrease.

• The median and the mean both remain the same.

• The median decreases and the mean remains the same.

• The mean decreases and the median remains the same.

The distribution of annual salaries for the 21 employees in a small company has a median of $45,000 and a standard deviation of $10,000. The owner of the company promotes one of the employees and the employee's salary increases from $65,000 a year to $95,000 a year. What impact will this salary increase have on the median and the standard deviation of annual salaries for this company?

• Both the median salary and the standard deviation will change.

• Neither the median salary nor the standard deviation will change.

• The median salary will increase, but the standard deviation will not change.

• The median salary will not change, while the standard deviation will increase.

Five students are taking an English test. Their scores are 94, 88, 90, 92, and 85. Ethan takes the same test and scores a 54. If Ethan's score is included with the other five students scores, then the ​​ (a)   would decrease.

• mean
• interquartile range
• range
• standard deviation

What statement is true?

• There is an outlier in the data from Amazing Brains. After removing the outlier, the mean of the scores from Amazing Brains is lower than the mean of the scores from Test Buddy.

• There is an outlier in the data from Amazing Brains. After removing the outlier, the mean of the scores from Amazing Brains is greater than the mean of the scores from Test Buddy.

• There is an outlier in the data from Test Buddy. After removing the outlier, the mean of the scores from Amazing Brains is lower than the mean of the scores from Test Buddy.

• There is an outlier in the data from Test Buddy. After removing the outlier, the mean of the scores from Amazing Brains is greater than the mean of the scores from Test Buddy.

If an outlier is included in the data set the ​ (a)   is the least affected.

• median
• mean
• range
• standard deviation

If 10 is added to each observation in the following data set, what is the relationship between the original standard deviation and new standard deviation?

1 5 9 15 27 32

• The original standard deviation is 10 times the new standard deviation.

• The original standard deviation is equal to the new standard deviation.

• The new standard deviation is 10 times the original standard deviation.

• The new standard deviation is 10 times more than the original standard deviation.

The number of sandwiches sold be four stores during one week is shown in the graphs. Which store has the most skewed data?

• 
• 
• 
• 

What do the distributions have in common?

• range

• median

• minimum value

• maximum value

Which statement is true?

• The median height of Team A is equal to the median height of Team B.

• The shortest player on Team B is 2 inches taller than the shortest player on Team A.

• The range of the heights of Team A is equal to the range of the heights of Team B.

• The tallest player on Team A is 2 inches shorter than the tallest player on Team B.