Measures of Center
Measures of Variability
Interpreting Data
100

Divide the sum of the numbers by the quantity of numbers

What is mean?

100

Quarter 3 - Quarter 1

What is Interquartile Range (IQR)?

100

Monday 4 cars were sold. Tuesday 3 cars were sold. Wednesday 5 cars were sold, Thursday 2 cars were sold, Friday 6 cars were sold, Saturday 5 cars were sold and Sunday 3 cars were sold.  

This day represents the mode of the data. 

What is Friday?


Friday has the most cars sold, 6 cars. 

200

Maximum value - Minimum value

What is range?

200
Data point that affects the mean and range. 

What is an Outlier?

200

Surfside's box plot shows a range from 100 to 350. It's IQR is 180 to 230.

Port Eagles box plot shows range from 65 to 340. It's IQR is 120 to 300.

This box plot shows it has at least two outliers. 

What is Surfside?


Surfside's whiskers are far from the box, indicating the minimum and maximum points are far from the majority of the data. 

300

3, 6, 8, 12, 24

8 is the _____.

What is the median?

300

The student that appears to have more predictable test scores. (less spread out/ varied)


Who is Amy?

300

Port Eagle has Quartile points of Q1= 120, Q2= 220, Q3=300, and Q4= 340. 

This is the median of Port Eagle.


What is 220? 

400

The difference in the medians.

What is 1?

81-80 = 1

400

This student had an IQR of 12.

Whos is Ed?

400

Amy's box plot has a minimum of 76, Q1 of 78, Q2 of 81, Q3 of 86 and a maximum of 89.

Ed's box plot has a minimum of 70, a Q1 of 76, Q2 of 80, Q3 of 88 and a maximum of 90.

This person has the best overall test scores. 

Who is Amy?


Amy's overall scores were higher. 

500

This student had a median of 81.

Who is Amy?

500

Surfide's box plot shows a range from 100 to 350. It's IQR is 180 to 230.

Port Eagles box plot shows range from 65 to 340. It's IQR is 120 to 300.

This box plot has less variability in its IQR. 

What is Surfside? 


Surfside has the lowest  IQR. 

500

Amy's box plot has a minimum of 76, Q1 of 78, Q2 of 81, Q3 of 86 and a maximum of 89.

Ed's box plot has a minimum of 70, a Q1 of 76, Q2 of 80, Q3 of 88 and a maximum of 90.

This is the difference in the medians. 

What is 1?


Amy's median - Ed's median = difference of medians

81 - 80 = 1