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# Using Averages and Range

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## Mr Mattock

on 24 January 2018

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#### Transcript of Using Averages and Range

Using Averages and Range
Starter
Main Activity 1
Red
Problems with averages
Five numbers have a mode of 3, a median of 4, a mean of 5 and a range of 6. What are the 5 numbers?

A basketball player has a mean score of 36 points after 10 games. After the next game his mean has fallen to 35 points. How many points did he score in the game?
L.O. - Compare using the mean and the range, and solve problems using averages and range.
Two pupils take 10 tests throughout the year. Their percentage scores are given below:

Pupil A - 38, 50, 72, 0, 12, 0, 85, 43, 7, 0

Pupil B - 17, 23, 35, 54, 20, 25, 41, 21, 25, 44

Which pupil do you think did best? Why do you think that?
Comparing
Two pupils take 10 tests throughout the year. Their percentage scores are given below:

Pupil A - 38, 50, 72, 0, 12, 0, 85, 43, 7, 0

Pupil B - 17, 23, 35, 54, 20, 25, 41, 21, 25, 44
Pupil A Mean =

Pupil A Range =
Pupil B Mean =

Pupil B Range =
Comparing
Two pupils take 10 tests throughout the year. Their percentage scores are given below:

Pupil A - 38, 50, 72, 0, 12, 0, 85, 43, 7, 0

Pupil B - 17, 23, 35, 54, 20, 25, 41, 21, 25, 44
Pupil A Mean = 307/10 = 30.7 marks on average.

Pupil A Range = 85 - 0 = 85 marks difference.
Pupil B Mean = 305/10 =
30.5 marks on average.

Pupil B Range = 54 - 20 = 34 marks difference.
Amber
Green
Red
Amber
Green
Range = 6
Mean = 5.875
Range = 0.8 secs
Mean = 10.62 secs
Range = 3
Mean = 6
Range = 7
Mean = 6.5
Problems with averages
Five numbers have a mode of 3, a median of 4, a mean of 5 and a range of 6. What are the 5 numbers?

A basketball player has a mean score of 36 points after 10 games. After the next game his mean has fallen to 35 points. How many points did he score in the game?
3, 3, 4, 6, 9
After 10 games a total 10 x 36 = 360 points; After 11 games a total of 11 x 35 = 385 points. Therefore scored 25 points.
Main Activity 2
Relay competition:

it up to me. If you are right I will give you 3
points if not I will give you back card 1. After that whenever you get it right you get one point.

This then continues through to card 4.

Whichever table gets the most points in the time of the activity wins.
Dice of Ultimate Power

1) Give a key word for the lesson.
2) Summarise one key point for the
lesson.
3) Explain one thing you have learned this
lesson.
4) State one thing you still don't understand following this lesson.
5) Suggest one thing you would like to find out
based on this lesson.
6) Free choice from 1 to 5, or another you make
up.
Question 1 - ........, 3, 3, 3, ........, .......... [any numbers can fill the gaps as long as they are in order.]

Question 2 - 5, 5, 7, 8

Question 3 - If A = 75 then B+C = 135 (because A + B + C = 210)
This means D = 93 (because B + C + D = 228)
This means C and E are both 69 (because C + D + E =
231 and C and E are the same)
This means B = 66 (because B + C = 135)

Question 4 - Let n be the final number of paper. Then:
T + 89 = 68n and T + 57 = 64n.
If we look at the difference between these, that
shows that 32 marks = 4n [32 = 4n].
This gives n = 8 papers.
Key Examples