Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 +...

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Lesson 4 Compare datas

Transcript of Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 +...

Page 1: Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 + 1.5(IQR) Statistics – numbers that characterize a data.

Lesson 4

Compare datas

Page 2: Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 + 1.5(IQR) Statistics – numbers that characterize a data.

Outliers

• A data value is an outlier if x < Q1 – 1.5(IQR) or

• if x > Q3 + 1.5(IQR)

• Statistics – numbers that characterize a data set, such as measures of center and spread.

Page 3: Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 + 1.5(IQR) Statistics – numbers that characterize a data.

Performance TaskDealer A

14 13 15 12

15 16 15 17

17 12 16 14

15 16 14 16

13 14 18 15

Dealer B

16 17 15 20

18 19 18 17

19 10 19 18

15 17 20 19

18 18 16 17

The tables list the daily car sales of two competing dealerships.

Page 4: Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 + 1.5(IQR) Statistics – numbers that characterize a data.

A. Calculate the mean, median, interquartile range (IQR), and

standard deviation for each data set. Compare the measures of

center for the two dealers.

Page 5: Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 + 1.5(IQR) Statistics – numbers that characterize a data.

mean median IQR Standard Deviation

Dealer A

Dealer B

Page 6: Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 + 1.5(IQR) Statistics – numbers that characterize a data.

B. Create a dot plot for each data set. Compare the distributions of the data

sets.

Page 7: Lesson 4 Compare datas. Outliers A data value is an outlier if x < Q 1 – 1.5(IQR) or if x > Q 3 + 1.5(IQR) Statistics – numbers that characterize a data.

C. Determine if there are any outliers in the data sets. If there are, remove the outlier and find the statistics for that data set(s).

What was affected by the outliers?