1.08 Linear Transformation w/ review

Given the data: 6, 7, 2, 8, 9 ,1 ,11 9, and 15

Which statistic would change if 10 was added to each data point?

Groups:

(a) Change

,

(b) Stay the Same

• range

• mean

• median

• Q3

• IQR

• Standard Deviation

• mode

• Q1

Given the data: 6, 7, 2, 8, 9 ,1 ,11 9, and 15

Which statistic would change if 7 was multiplied to each data point?

• mean, median, modem Q1 & Q3

• range, IQR, & Standard Deviation

• all statistics will change

• nothing will change

• can not be determine

Given the statistic: mean: 25 Med: 27 Mode: 22 SD: 6 IQR: 15

What would be the new statistics if 9 was subtracted? Select all that is true

• mean: 16

• median: 18

• median: 243

• mode: 9

• IQR: 15

Given the data: 6, 7, 2, 8, 9 ,1 ,11 9, and 15

If 7 was multiplied to each data point, the new mean is ​ (a)   and standard deviation is ​ (b)   .

• 28.406
• 52.885
• 30.128
• 7
• 28
• 56

When increasing each data point by 11, what would happen to all of its statistics?

• The mean, median, mode, Q1 and Q3 would increase by 11

• The mean, median, mode, Q1 and Q3 would increase by a multiple of 11

• The range, IQR and SD would stay the same.

• All statistics would increase by a multiple of 11.

• All statistics will shift to the right by 11

Given the data: 4, 5, 10, 12, 7, 8, 3, 6, and 14

Which statistic would NOT if 3 was added to each data point?

• nothing will change

• all statistics will change

• range, IQR, & Standard Deviation

• mean, median, Q1 & Q3

• can not be determined

Given the data: 2, 4, 6, 8, 10, 12, 14, 16, and 18

Which statistic would change if each data point was divided by 2?

• mean, median, Q1 & Q3

• range, IQR, & Standard Deviation

• all statistics will change

• can not be determined

• nothing will change

Given the data: 5, 7, 9, 11, 13, 15, 17, 19, and 21

Which statistic would change if 5 was subtracted from each data point?

• mean, median, Q1 & Q3

• range, IQR, & Standard Deviation

• can not be determined

• all statistics will change

• nothing will change

REVIEW QUESTION:

In 2015, the mean height of U.S. males aged 20 years and older was 69.1 inches with a standard deviation of 2.25 inches. Dr. taller takes a random sample of college males and finds a mean of 71.3 inches and a standard deviation of 2.5 inches. Match the symbol with what it represents.

• 2.25 inches

• 69.1 inches

• x-bar

• 71.3 inches

• s

• 2.5 inches

REVIEW QUESTION

A ________ is a numerical value that describes a characteristic of a population.

(a)  

• Statistic

• Parameter
• Sampling distribution

• Standard error