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2 Unit 2: Applied Mathematics A

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Question 94

Completion times are recorded to the nearest second. In a histogram, the bar for the class 5–85\text{–}85–8 has height 3 units and the bar for the class 11–1511\text{–}1511–15 has height 2 units.

Time (s)1–45–89–1011–1516–20Frequency2128?3\begin{array}{c|ccccc}\text{Time (s)}&1\text{–}4&5\text{–}8&9\text{–}10&11\text{–}15&16\text{–}20\\\hline\text{Frequency}&2&12&8&?&3\end{array}Time (s)Frequency​1–42​5–812​9–108​11–15?​16–203​​

a.

Use the relative bar areas to find the missing frequency.

[1]
b.

Calculate the frequency densities for the remaining three classes.

[2]
c.

Estimate the probability that a randomly selected participant took under 10 seconds.

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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