Statistics for LOA

Statistical Question

100

In which months are the birthdays of everyone in your class?

Statistical

200

How tall are the students in Grade 6?

Statistical

300

How many fish are in the pond?

Not statistical

400

How are statistical questions different from other questions?

A statistical question has a variety of different answers. Other questions may only have one answer.

500

Ms. Miller asks parents, "Do you support switching to a new lunch vendor for our school lunch program?" How many different responses could she get? Is this a statistical question?

She could get 2 or 3 responses (yes, no, unsure). Since there is more than one possible response, the question is statistical.

Mean

100

95, 87, 84, 81, 83

86

200

12, 12, 15, 10, 14, 15, 13

13

300

7, 10, 16, 9, 12, 21, 14, 8, 13, 15

12.5

400

11.3, 11.5, 11.4, 10.9, 11.4, 10.9, 11.7

11.3

500

42.5, 44.6, 38.9, 40.5, 52.3, 51.5

45.05

Median, Mode, Range

100

12, 12, 15, 10, 14, 15, 13

Median - 13 Mode - 12 Range - 5

200

95, 87, 84, 81, 83, 81, 90

Median - 84 Mode - 81 Range - 14

300

7, 10, 16, 9, 12, 21, 14, 8, 13, 15

Median - 12.5 No Mode Range = 14

400

11.3, 11.5, 11.4, 10.9, 11.4, 10.9, 11.7, 10.8

Median - 11.35 Mode - 10.5 and 11.4 Range - 0.9

500

42.5, 44.6, 38.9, 40.5, 52.3, 51.5

Median - 43.55 Mode - none Range - 13.4

MAD

100

Find the MAD 75, 81, 90, 82

4

200

2, 3, 6, 2, 2, 1, 5

1.43 or 10/7

300

10, 4, 6, 8, 7, 5, 5, 8, 10

1.78

400

5, 10, 7, 9, 8, 12, 11, 6, 4

2.22

500

4, 19, 16, 28, 7, 22, 25, 13, 10

6.67

IQR

100

75, 81, 90, 82

8

200

2, 3, 6, 2, 2, 1, 5

3

300

10,4,6,8,7,5,5,8,10

4

400

5, 10, 7, 9, 8, 12, 11, 6, 4

5

500

4, 19, 16, 28, 7, 22, 25, 13, 10, 30, 22, 12

12.5