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- A mixture of short answer and multiple-choice questions
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- Question 1 of 10
##### 1. Question

Estimate the mean of the data.

\( \begin{array}{|c|c|c|c|c|c|} \hline

Class & 200 \le x \lt 300 & 300 \le x \lt 400 & 400 \le x \lt 500 & 500 \le x \lt 600 & 600 \le x \lt 700 \\ \hline

Frequency (f) & 21 & 23 & 29 & 35 & 17 \\ \hline

\end{array} \)Sum of scores \( = \) \( \times 21 + \) \( \times 23 + \) \( \times 29 + \) \( \times 35 + \) \( \times 17 = \)

Sum of frequencies \( = \) \( + \) \( + \) \( + \) \( + \) \( = \)

Mean \( = \) \( \div \) \( = \)

CorrectIncorrect - Question 2 of 10
##### 2. Question

Select the corresponding frequency table for the cumulative frequency graph shown.

CorrectIncorrect - Question 3 of 10
##### 3. Question

Using the box-and-whisker plot, which is the better result?

CorrectIncorrect - Question 4 of 10
##### 4. Question

There is an 80% chance that Ben passes his driving test and a 90% chance that Amy passes hers. Find the probability that Amy passes.

CorrectIncorrect - Question 5 of 10
##### 5. Question

A box contains balls numbered \( 1 \) to \( 50 \). One ball is taken randomly out of the box. Find the probability that it is a multiple of \( 12 \), given that it is a multiple of \( 3 \). Answer to two decimal places.

CorrectIncorrect - Question 6 of 10
##### 6. Question

Find the financial expectation of a ticket in a raffle. The raffle has 500 tickets and there is one prize worth 200 dollars.

dollar(s)

CorrectIncorrect - Question 7 of 10
##### 7. Question

The number of apple inboxes is normally distributed with mean 121 and standard deviation 7. Between what numbers will be contents of 68% of the boxes lie?

Between and

CorrectIncorrect - Question 8 of 10
##### 8. Question

Find the mean if a score of 124 has a \(z\)-score -1.6 when the standard deviation of the scores is 13.

\(\mu = \)

CorrectIncorrect - Question 9 of 10
##### 9. Question

For normally distributed data \(X \sim N\left( {25,{5^2}} \right)\), find the value of \(k\) for \(\Pr \left( {X > k} \right) = 0.58\), correcting to two decimal places.

CorrectIncorrect - Question 10 of 10
##### 10. Question

If two-thirds of all primary school teachers are women, find the probability that when 4 teachers are chosen at random there are at least one woman, correcting to four decimal places.

CorrectIncorrect