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# Median and Interquartile range

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## Mr Mattock

on 13 January 2016

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#### Transcript of Median and Interquartile range

Median and Interquartile range
Starter

24 >> ÷ 3 , +8 , ÷ 4 , +4 , x5 , ÷ 8 , square , +15 , ÷ 5 ………….

7 >> x8 , -14 , ÷ 6 , x3 , ÷ 7 , +5 , square , +6 , ÷ 5 ………….

12 >> +16 , ÷ 7 , ÷ 4 , square , +27 , ÷ 4 , x5 , -8 , ÷ 3 ………….

14 >> x2 , ÷ 7 , x6 , ÷ 4 , x7 , -6 , ÷ 4 , ÷ 3 , x12 ………….

86 >> ÷ 2 , -1 , ÷ 7 , square , x2 , +9 , ÷ 3 , +2 , x4 ………….
Main Activity
Complete the Median and Interquartile range sheet.
Plenary
We want to compare the distributions of the two sets.
L.O. - To find the median and inter-quartile range of raw data, and use it to compare. (Grade 5)
Median and Interquartile Range
The number of strikes scored in two ten pin bowlers last 10 games are given below (in number order).

Bowler A: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Bowler B: 1, 5, 5, 5, 5, 6, 6, 6, 6, 10
Median Bowler A -
Lower Quartile Bowler A -
Upper Quartile Bowler A -
Interquartile range Bowler A -
Median and Interquartile Range
The number of strikes scored in two ten pin bowlers last 10 games are given below (in number order).

Bowler A: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Bowler B: 1, 5, 5, 5, 5, 6, 6, 6, 6, 10
Median Bowler A -
5.5
Lower Quartile Bowler A -
3
Upper Quartile Bowler A -
8
Interquartile range Bowler A -
5
5.5
Median and Interquartile Range
The number of strikes scored in two ten pin bowlers last 10 games are given below (in number order).

Bowler A: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Bowler B: 1, 5, 5, 5, 5, 6, 6, 6, 6, 10
Median Bowler B -
Lower Quartile Bowler B -
Upper Quartile Bowler B -
Interquartile range Bowler B -
Median and Interquartile Range
The number of strikes scored in two ten pin bowlers last 10 games are given below (in number order).

Bowler A: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Bowler B: 1, 5, 5, 5, 5, 6, 6, 6, 6, 10
Median Bowler B -
5.5
Lower Quartile Bowler B -
5
Upper Quartile Bowler B -
6
Interquartile range Bowler B -
1
5.5
Starter

24 >> ÷ 3 , +8 , ÷ 4 , +4 , x5 , ÷ 8 , square , +15 , ÷ 5 …
8
….

7 >> x8 , -14 , ÷ 6 , x3 , ÷ 7 , +5 , square , +6 , ÷ 5 …
14
….

12 >> +16 , ÷ 7 , ÷ 4 , square , +27 , ÷ 4 , x5 , -8 , ÷ 3 …
9
….

14 >> x2 , ÷ 7 , x6 , ÷ 4 , x7 , -6 , ÷ 4 , ÷ 3 , x12 …
36
….

86 >> ÷ 2 , -1 , ÷ 7 , square , x2 , +9 , ÷ 3 , +2 , x4 …
124
….
Main Activity
Complete the Median and Interquartile range sheet.
1) (i) 6 (ii) 4 (iii) 8 (iv) 4
2) (i) 14 (ii) 11 (iii) 16 (iv) 5
3) (i) 37 (ii) 31 (iii) 41 (iv) 10
4) (i) 19 (ii) 17 (iii) 21 (iv) 4
5) (i) 4.5 (ii) 3 (iii) 6.5 (iv) 3.5
6) (i) 15 (ii) 14 (iii) 18.5 (iv) 4.5
7) (i) 126 (ii) 121 (iii) 129 (iv) 8
8) (i) 345 (ii) 339 (iii) 358 (iv) 19
9) (i) 50 (ii) 47.5 (iii) 51 (iv) 3.5
10) (i) 75 (ii) 71.5 (iii) 77 (iv) 5.5
1) Boys - median = 1.75, LQ = 1.5, UQ = 2.0, IQR = 0.5
Girls - median = 1.95, LQ = 1.75, UQ = 2.05, IQR = 0.3
2) Group A - median = 82, LQ = 78.5, UQ = 89.5, IQR = 11
Group B - median = 75, LQ = 71.5, UQ = 76.5, IQR = 5

1) Boys: 9, 34, ...., 54, ...., 69, 98
Girls: 13, 44, ...., 53, ...., 70, 91
2) Year 7: 5, 36, ...., 46, ...., 58, 78
Year 8: 14, 42, ...., 54, ...., 66, 91
3) Los Playa: 3, 4.5, ...., 6, ...., 8, 10.5
Los Goya: 1.5, 3.5, ...., 7, ...., 8.5, 13.5
1) 15 or below
2) 18 or above
3) 16 or 17
Why mightn't we draw a vertical line chart, even if we knew the individual scores?
Plenary
We want to compare the distributions of the two sets.
Why mightn't we draw a vertical line chart, even if we knew the individual scores?

It would have lots of different amounts that were not very frequent.
Key
Examples

Activity