Question 2 — IGCSE 0580 May/June 2023 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Statistics · Statistical graphs. Worth 12 marks.
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Question text
2 (a) Mika counts the number of letters in each of the 61 words in a paragraph.
Some of his results are shown in the table and bar chart.
Number of letters 1 2 3 4 5 6
Frequency 7 12 15 5
15
14
13
12
11
10
9
Frequency 8
7
6
5
4
3
2
1
0
1 2 3 4 5 6
Number of letters
(i) Complete the table and the bar chart. [3]
(ii) Write down the mode.
................................................. [1]
© UCLES 2023 0580/32/M/J/23
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(b) Grace also counts the number of letters in each word of another paragraph.
Her results are shown in the table.
Number of letters 1 2 3 4 5 6
Frequency 10 18 9 6 5 2
(i) Work out the mean.
................................................. [3]
(ii) She picks one of these words at random.
Find the probability that it has more than three letters.
................................................. [2]
(c) She counts the number of letters in each word in the next sentence.
These are her results.
3 4 1 7 9 2 6 5 4 2 3 2
(i) Find the median.
................................................. [2]
(ii) Find the range.
................................................. [1]
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