Mathematics 9709/61 — May/June 2019

Cambridge A-Level · Probability & Statistics 1 (S1) · worked solutions for every part, with the mark scheme

questions

marks

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

Q1Representation of DataFree sample

The times, $t$ seconds, taken to swim $100\text{ m}$ were recorded for a group of 9 swimmers and were found to be as follows.

95 \quad 126 \quad 117 \quad 135 \quad 120 \quad 125 \quad 114 \quad 119 \quad 136

(i)

Find the values of $\Sigma(t - 120)$ and $\Sigma(t - 120)^2$ .

(ii)

Using your values found in part (i), calculate the variance of $t$ .

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