Learning Target: To be able to use the mean average of data to make comparisons.
Success Criteria
Beginning
Be able to calculate the mean of a set of data.
DevelopingBe able to calculate the mean of a set of data.
Use the mean to compare sets of data and understand the effects of changing the data upon the mean.
MasteringTo be able to demonstrate the method for finding the mean from a frequency table of discrete data.
MasteringTo be able to demonstrate the method for finding the mean from a frequency table of discrete data.
Resources
Beginning
B1
NRich: Searching for Meaning
B2
Test understanding of Mean Averages using this Bingo game.
Bingo Cards (print)
Bingo Game
Developing
D1
What is the missing number in each case?
a) 1,2,3,4
mean = ?
b) 4, 7, 2, ?
mean = 4
c) 24, 27, 22, ?
mean = 24
d) 54, 57, 52, ?
mean = 54
e) 4.1, 7.5, 2.7, ?
mean = 4
f) 105, 340, ?, ?
mean = 200
D2
NRich: The Mean Problem
B1
NRich: Searching for Meaning
B2
Test understanding of Mean Averages using this Bingo game.
Bingo Cards (print)
Bingo Game
Developing
D1
What is the missing number in each case?
a) 1,2,3,4
mean = ?
b) 4, 7, 2, ?
mean = 4
c) 24, 27, 22, ?
mean = 24
d) 54, 57, 52, ?
mean = 54
e) 4.1, 7.5, 2.7, ?
mean = 4
f) 105, 340, ?, ?
mean = 200
D2
NRich: The Mean Problem
Test your understanding by completing 1 or 2 exam questions (example answers at the end).
Mastering
If you are still not sure what you are doing watch this video (or ask the teacher to play this video for the class). Averages from grouped data
M3
Read through the notes at the start of this worksheet and then complete the questions.
Calculating Averages from Frequency Tables
M3
Read through the notes at the start of this worksheet and then complete the questions.
M4
Test your understanding by completing 1 or 2 exam questions (example answers at the end).
M5
Read through the notes at the start of this worksheet and then complete the questions.
Further questions can be found here.
Homework
1) Find the mean and range of:
12, 14, 17, 2, 7, 9, 12
2) Explain (in words) your method of find the mean and range in question 1.
3) Find the missing number:
12.1, 17.5, 45, 6.3, ?
The mean is 18.
4) Explain why the mean is not a good measure of average in this case. Hint: what do we expect an average to show.
Upload your answers to 1-4 to Showbie.
Extension (for those who moved onto M3)
5) Complete this MyMaths Homework on Averages (also set as a task).
