Measures of Central Tendency
Measure of spread
Box-And-Whisker Plots
Data Displays
Mean, Mode, Median
100

What are the three measures of central tendency?

Mean, Median, Mode

100

Find the range of this data set: 17, 47, 26, 2, 31, 19

45

100

What is the five number summary that's needed to make a box-and-whisker plot?

Minimum, 1st quartile, median, 3rd quartile, maximum

100

This Stem and Leaf plot has ______ items of data.

Ages of Parents

Stem

Leaf

3

1  4  4  9

4

0  0  0  1  2  3  5  7 

5

2  3




Key: 3  1 = 31 years old

14

100

A student writes down the brand names of phones owned by classmates.

What type of data is this?

Categorical

200

Find the mean rounded to the nearest tenth: 17, 26, 37, 22, 30, 19, 21

24.6

200

To maintain quality control in a soda factory, every 20th bottle of root beer coming off the production line was open and tested.  

This is an example of ________ sampling method.


What is Systematic?

200

What are the minimum and maximum values of the data set: 78, 12, 109, 36, 121

12 and 121

200

What is the mode of the time students took to complete their homework, according to this stem and leaf chart. 

Time to Complete

Homework

Stem

Leaf

3

2  2  2  2  2  2  4

4

 

5


6

9

7

6  8

8

4

Key: 3  2 = 32 minutes


What is 32 minutes.  

200

The shirt sizes (S, M, L, XL) of players on a team are listed.

What type of data is this?

Categorical and Ordinal

300

Find the median: 197, 56, 203, 79, 145, 2

112

300

The ages (in years) of students in a science club are:
12, 13, 14, 14, 15, 16, 16, 17, 18

Find the Interquartile Range (IQR) of the data.

3

300

What is the median of the data set: 72, 90, 84, 76, 68

76

300

 Ms. Jackson's Quiz Scores as percentages.

Stems

Leaves

6

3 6     

7

2 9     

8

4 7 7    

9

0 0 1 1 3 3 3

 

The mean is______.  (round to the nearest whole number)

What is 84%.  

300

A teacher selects every 5th student from the class roll to participate in a survey.

What type of sampling method is this?

Systematic Sampling.

400

What value of x makes this data set have a mean of 6: 10, 6, 12, 3, x

5

400

The range of each data set: 30, 27, 24, 30, 32, 31

What is 8?

400

Find the five number summary: 27, 22, 25, 27, 23, 28

Min = 22 

Q1 = 23

Medium= 26

Q3 = 27

Max = 28

400

Draw a graph to represent positively and negatively skewed.

Teacher check for acuracy


400

You want to survey students across all year levels in your school to get balanced feedback. What sampling method would ensure fair representation from each year level?

Stratified Sampling

500

Create a data set that has 5 values, has a mean of 12, a median of 13 and a mode of 13 and 14.

6, 13, 13, 14, 14

500

Find the standard deviation of the data set: 63, 59, 70, 68

4.3

500

The following are the scores out of 100 from 15 students on their final maths exam:

56, 62, 65, 67, 68, 70, 71, 74, 75, 78, 81, 83, 85, 88, 93. 

Identify any outliers, if they exist.

No outliers

500

Find the Five number summary for both graphs in the image.

 

French

German

Spanish

Total

Female

15

11

13

39

Male

16

17

8

41

Total

31

28

21

80

500

A school has 800 students. The administration wants to survey student opinions on a new school uniform policy. They know that opinions may differ significantly by year group and gender. To ensure the sample reflects the entire student population fairly, the school decides to group students by year group (Years 7–12) and by gender (male/female/other). From each subgroup, they randomly select 10% of students to participate in the survey.

a) What type of sampling method is being used?
b) Explain why this method is more appropriate than simple random sampling in this case.

a) Stratified Random Sampling

b) Teacher review