head to head: data handling dr j frost ([email protected]) last updated: 14 th december...

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Head To Head: Data Handling Dr J Frost ([email protected]) Last Updated: 14 th December 2013

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Page 1: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Head To Head: Data Handling

Dr J Frost ([email protected])

Last Updated: 14th December 2013

Page 2: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

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Head Table

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Rear Table

Head to HeadYou are head to head with the person on your table.

You must circle or underline your answer to finalise it.

Once you finalise an answer, you can’t change it.

The first person with the correct answer wins.If both people get it wrong, just do a quick paper-scissors-rock to settle.If neither person answers, the person who previously won wins.

Winner moves up (as per left). Loser moves down.

Page 3: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 1

(Click above to reveal answer)

What is the lower quartile of the following numbers?

1 2 3 4 5 6 7 8 9

Answer: 2.5?

Page 4: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 2

a) What percentage of data is above the upper quartile?

b) What percentage of data is within the interquartile range?

Answer: a) 25% b) 50%

?

Page 5: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 3

You have four numbers.The median is 5, the mode 4 and the mean 7.What are the four numbers?

4 4 6 14?

Page 6: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 4

You have four numbers.The median is 5, the mode 4 and the mean 7.What are the four numbers?

4 4 6 14?

Page 7: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 5

Find the mean age (to 4dp).

10.9375?

Age Frequency10 411 912 3

Page 8: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 6

List two features you should compare when comparing box plots.

1. Median2. Either range or interquartile range.

?

Page 9: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 7

Find the mean age (to 2dp).

19.67 (condone 19.66)?

Age Frequency

10 < a ≤ 12 5

12 < a ≤ 20 10

20 < a ≤ 30 15

Page 10: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 8

Find the modal class.

20 < a ≤ 30?

Age Frequency

10 < a ≤ 12 5

12 < a ≤ 20 10

20 < a ≤ 30 15

Page 11: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 9

If I were to draw a pie chart to represent this data,what angle is needed for the sector labelled “Cat”?(Give answer to nearest degree)

213°?

Animal FrequencyDog 7Cat 13Goose 2

Page 12: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

20

18

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14

12

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2

0 10 20 30 40

Time (minutes)

Cum

ulati

ve F

requ

ency

Here is a cumulative frequency graph showing times.What is the interquartile range of the times?

35 – 15 = 20?

Question 10

Page 13: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

If you were to plot a cumulative frequency graph of the following data, list the coordinates of the three leftmost points the graph.

Question 11

Age Frequency

10 < a ≤ 12 5

12 < a ≤ 20 10

20 < a ≤ 30 15

(10, 0), (12, 5), (20, 15) ?

Page 14: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

If you were to plot a frequency polygon of the following data, list the coordinates of the three points.

Question 12

Weight (in kg) Frequency

10 < w ≤ 18 6

18 < w ≤ 26 11

26 < w ≤ 34 1

(14, 6), (22, 11), (30, 1)?

Page 15: Head To Head: Data Handling Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last Updated: 14 th December 2013

Question 13

What is the median class interval?

20 < a ≤ 30?

Age Frequency

10 < a ≤ 12 6

12 < a ≤ 20 12

20 < a ≤ 30 8

30 < a ≤ 50 14