Each year the total number of hours, $x$, of sunshine in Kintoo is recorded during the month of June. The results for the last 60 years are summarised in the table. $x$ $30 \le x < 60$ $60 \le x < 90$ $90 \le x < 110$ $110 \le x < 140$ $140 \le x < 180$ $180 \le x \le 240$ --- --- --- --- --- --- --- Number of years 4 8 14 25 7 2 (a) Draw a cumulative frequency graph to illustrate the data. (b) Use your graph to estimate the 70th percentile of the data. (c) Calculate an…

Mathematics 9709/52 — February/March 2023

Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

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Topics Probability · Discrete Random Variables · Representation of Data · The Normal Distribution · Permutations and Combinations

Q1Representation of DataFree sample

Each year the total number of hours, $x$ , of sunshine in Kintoo is recorded during the month of June. The results for the last 60 years are summarised in the table.

$x$	$30 \le x < 60$	$60 \le x < 90$	$90 \le x < 110$	$110 \le x < 140$	$140 \le x < 180$	$180 \le x \le 240$
Number of years	4	8	14	25	7	2

(a)

Draw a cumulative frequency graph to illustrate the data.

Fig. 1

(b)

Use your graph to estimate the 70th percentile of the data.

(c)

Calculate an estimate for the mean number of hours of sunshine in Kintoo during June over the last 60 years.

The rest of this paper

6 more questions

Q2Probability · Discrete Random Variables7M
Q3Discrete Random Variables6M
Q4Probability3M
Q5Probability3M
Q6The Normal Distribution · Probability11M
Q7Permutations and Combinations · Probability12M

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