Statistics

Measures of Center and Variability

100

List the three measures of center.

Mean, Median and Mode

200

List the three measures of variability.

Range, IQR, MAD

300

Part A: Which class scored better?

Part B: What measure of center is on a box plot?

Part A:  CLASS A did better.

Part B:  MEDIAN is on a box plot

400

Part A: Which store has more variation pricing?

Part B: What measures of variations are on a box and whisker?

Part A:  BOOKSTORE B has more variation.   

Part B:  IQR and RANGE.

500

Part A: Which class did better on the exam?

Part B: Which class has scores are more spread out?

Part A: 2nd period did better. 

Part B: 5th period’s scores are more spread out

Dot Plots

100

How many students have between 2-4 cousins?

9 students

200

Find the mean: 

Mean = 2

300

True or False: 

Most 7th graders do less than 5 chores.

False, most 7th graders do more than 5 chores.

400

What is the mean and median?

Mean = 3

Median = 3

500

Infer which team is better based on points scored:

TEAM B is probably the better team - they score more points than team A.

Box Plots

100

What percentage of chickens laid more than 3 eggs?

75%

200

Part A: What is the IQR? 

Part B: What is the Range?

IQR= 5

Range= 8

300

Part A: Which box plot shows more variability?

Part B: How do you know?

Part A:  Bus 

Part B:  The IQR/range is larger (more spread out).

400

Generally, which method of transport takes more time?

Riding the bus.  

500

Part A: Which team’s scores are more consistent? 

Part B: How do you know? 

Part A: Team A

Part B:  Range/IQR is smaller (data is close together)

Samples and Populations

100

I want to know how many chores 7th graders at Hayes do per week. 

What is the Population?

7th graders at Hayes

200

Part A: I want to know how many chores 7th graders at Hayes do per week. If I ask every 10th student on the Bobcat's roster - is this sample representative?  

Part B: Why?

Part A: NO

Part B: Only 6th graders would be asked - should be 7th graders (Wildcats).

300

Mr. Hoskins wants to know what reward the 8th graders want at graduation. Select all that representative samples: 

A) Poll everyone over 5 foot 10 inches

B) Assign every 8th grader a number and pick 25 random numbers.

C) Put all 7th grader’s names in a hat, then draw 25 out randomly

D) Pick 5 random students from each of the 8th grade teachers’ classrooms

E) Ask Ms. Sizemore’s class

B and D

400

I want to know the average time a seventh grader at EJH spends playing basketball. I ask the basketball team how much time they spend playing basketball. 

Is this a representative sample?  Why?

NO, didn’t include people not on the basketball team. 

Also, the basketball team is more likely to play basketball. 

500

Ms. Morgan wants to choose random people from her track team - what method is representative?

A) 5 female runners

B) Students that jump hurdles

C) Every 5th student that shows up to practice

D) 10 random 6th graders

C) Every 5th student that shows up to practice

Includes all grades and is fair and random. 

Mixed Review

100

Part A: Which ski resort had the most consistent snowfall?

Part B: How do you know?

Part A: Powder Valley

Part B: IQR and Range are smaller (closer together)

200

4 students ride bus number 872 in Donahue’s 7th hour which includes 24 students. If there are 288 students in the 7th grade how many would ride bus 872?

48 students

300

Part A: Which class had the most consistent scores?

Part B: How do you know?

Part A: 3rd hour

Part B: Lowest MAD

400

If 5 out of 25 kids are planning of going to summer camp this summer - how many kids out of 150 would be expected to go to camp?

30 kids

500

Sketch a box plot of this data.

4, 5, 8, 9, 10, 12, 15, 15, 15

What is strange about this box plot?

There is no right whisker