6th Grade Statistics

Statistical or Not

100

Is this a statistical question? How many students are wearing Jordan's in this class?

No.

200

Should a statistical question have a single answer?

Multiple Answers. Includes typical data

300

Is this a statistic question? What are the favorite ice cream flavors of students in Mrs. Keely's class? 

Yes

400

Is this a statistical question? Does the Watson Family watch TV?

no

500

Is this statstical? What is the average score on the statistics quiz that was given in Mrs. Keely's class last week?

yes

Mean, Median, Mode

100

What is the mode? 1.06,9.3,59.59,6.01,25.17,1.06,6,1.06,0.7

1.06

200

What is the median? 93, 47, 37, 49, 25, 12, 13, 57

(37 + 47)/2 = 42

300

What is the median? 103, 2, 23, 156.5, 105.5, 145

104.25

400

Whats the mean? 1, 1, 2, 3, 4, 4, 5, 6, 7, 8

41/10 = 4.1

500

How would the mean, median, mode, and range of the following data set be effected if another 10 was added?

17, 12, 9, 10, 13, 18 

The Range stays the same which is 9, the median decreases from 12.5 to 12, the mode becomes 10, and the mean decreases from 13.166... to 12.741.

Range and IQR

100

what is the range 5, 10, 17, 19, 35.3, 3, 4, 56, 7, 1.7

56 - 1.7 = 54.3

200

what is the median 33, 4, 5, 6, 10, 15, 17, 18, 19, 21, 29

17

300

what is the upper quartile? 29, 34, 39, 43, 73, 91, 198

91

400

What is the upper quartile? 35, 49, 53, 69, 69, 77, 84

77

500

Find the IQR of the data set. 30, 45, 46, 72, 78, 89, 99, 100, 100

Median = 78 q1 = 45.5 q2 = 99.5 IQR= 99.5-45.5 = 54

Displays

100

What fraction or percentage of data is in each of the 4 sections of a box and whisker plot.

25%

200

When the mean and median are approximately the same when looking at a graph, what shape would the graph be? Symmetrical, Skewed Right, Skewed left?

Symmetrical

300

Why is it a good idea to create a tally chart when creating a histogram?

To be sure that every data point is accounted for in each range or "bucket"

400

What is the first step you need to do to make a box plot?

order the data

500

What are the measures of center that you can find or calculate by looking at a dot-plot?

Mean, Median, Mode, MAD

Box and Whisker plots

100

Find the lower extreme 5, 10, 15, 20, 25

5

200

What is the upper extreme 5, 10, 15, 20, 25

25

300

What is the range or spread of the data? 1, 2, 3, 4, 4, 5, 6

5

400

What is the lower quartile? 1, 2, 3, 4, 5, 6

2

500

Ages of children in two LWE families are: 4, 5, 6, 7, 8, 9, 10. Draw a box plot of this data. (Don't forget a title)

What is the IQR, and what does the IQR represent in context of this problem?

Box Plot (Answers will be on paper), IQR = 4 years, the middle 50% of the children in the two families range 4 years, from 5 to 9 years old.