Gr 10 Data Handling 3 - Maths Excellence

(d) Range for 10A: 26 – 11 = 15
Range for 10B: 30 – 8 = 22
Range for 10C: 26 – 2 = 24
(e) Lower quartile for 10A: Q 1
= 15
Lower quartile for 10B: Q 1
= 14
Lower quartile for 10C: Q 1
= 12
(f) Upper quartile for 10A: Q 3
= 22
Upper quartile for 10B: Q 3
= 23,5
Upper quartile for 10C: Q 3
= 20,5
(g) Interquartile range for 10A: Q 3
– Q 1
= 22 – 15 = 7
Interquartile range for 10B: Q 3
– Q 1
= 23,5 – 14 = 9,5
Interquartile range for 10C: Q 3
– Q 1
= 20,5 – 12 = 8,5
(h) Semi-interquartile range for 10A: _
Q – Q 3 1
= _ 22 – 15
= 3,5
2 2
Semi-interquartile range for 10B: _
Q – Q 3 1
= __ 23,5 – 14
= 4,75
2 2
Semi-interquartile range for 10C: _
Q – Q 3 1
= __ 20,5 – 12
= 4,25
2 2
2. (a) Mean = 34,2 orders
(b) Median = 28 orders
(c) Mode = 21 orders
(d) Range = 80 – 21 = 59 orders
(e) Interquartile range: Q 3
– Q 1
= 39 – 21 = 18
(f) The mean would probably be the most accurate estimate. The mode
and median are too small a number of orders per day. However, the
owner would need to be prepared to make more than 34 orders on a
few days, even up to 80!
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10 LC G10 MATHS LWB.indb 26 2008/09/09 12:22:53 PM