lesson 4 compare datas. outliers a data value is an outlier if x < q 1 – 1.5(iqr) or if x >...

7
Lesson 4 Compare datas

Upload: estella-turner

Post on 22-Dec-2015

213 views

Category:

Documents


0 download

TRANSCRIPT

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?