Linear Transformations of Data

The employees of StatCo earn a median salary of $65,000 with a standard deviation of $4,500. The company gives every employee a $2,000 raise. What is the new median salary?

• $63,000

• $65,000

• $67,000

• $69,500

A teacher grades a set of tests and finds that the average grade is 84% with a standard deviation of 4%. Later, the teacher discovers that one of the questions had an error in it and decides to add 2% to each score. What is the new average score?

• 82%

• 84%

• 86%

• 88%

A teacher grades a set of tests and finds that the average grade is 84% with a range of 35%. Later, the teacher discovers that one of the questions had an error in it and decides to add 2% to each score. What is the new range?

• 33%

• 35%

• 37%

• 86%

SkyNet discovered new technology that enabled them decrease the cost of their drone production by 5%. If the average cost of a drone was $80 million with a standard deviation of $7 million, what would the new average cost be?

• $75 million

• $76 million

• $84 million

• $85 million

SkyNet discovered new technology that enabled them decrease the cost of their drone production by 5%. If the average cost of a drone was $80 million with a standard deviation of $7 million, what would the new standard deviation of cost be?

• $2 million

• $6.65 million

• $7.35 million

• $12 million

In 2021, the average hourly wage for a McDonald's worker was $16.27 per hour with a standard deviation of $8.35 per hour. If McDonald's decides to increase its wages by 10%, what would be their new average hourly wage?

• $16.27

• $16.37

• $17.27

• $17.90

In 2021, the average hourly wage for a McDonald's worker was $16.27 per hour with a standard deviation of $8.35 per hour. If McDonald's decides to increase its wages by 10%, what would be the new standard deviation of the hourly wage?

• $8.35

• $8.45

• $9.19

• $9.35

Adding or subtracting a value to all the observations in a data set will increase each of the following by that amount, except for this one...

• mean

• median

• quartiles

• IQR

Multiplying or dividing all the observations in a data set by the same amount will affect which of the measures below?

• mean

• standard deviation

• mode

• range

• all of the above

The members of a weight loss club have a mean weight of 210 lbs with a standard deviation of 28 lbs. If each member is able to lose 15 lbs, what is the new standard deviation of their weights?

• 13 lbs

• 28 lbs

• 43 lbs

• None of the Above