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- 10 diagnosis quiz questions
- 10 minutes in duration
- Required to attempt all questions
- A mixture of short answer and multiple-choice questions
- Instant feedback straight after the test

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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

Find the interquartile range of the data represented in the box-and-whisker plot.

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

1 & 1 & 2 &&&& \\

2 & 2 & 5 & 6 & 9 && \\

3 & 0 & 2 & 3 &&& \\

4 & 1 & 4 &&&& \\

\end{array} \)List the scores in ascending order.

The upper quartile is .

The lower quartile is .

The interquartile range is .

CorrectIncorrect##### Hint

Interquartile Range = Upper Quartile – Lower Quartile

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

The table shows Amy’s results for two tests. Which test is the better result for Amy compared to her class?

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

\text{test} & \text{Amy’s result} & \text{class mean} & \text{class standard deviation} \\ \hline

A & 82 & 75 & 7 \\ \hline

B & 86 & 77 & 10 \\ \hline

\end{array} \)\(A\) or \(B\)

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

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

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

Describe the strength of the linear relationship with correlation coefficient \(r = – 0.3\).

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

If the equation of the line of best fit is \(y = mx + b\), find \(m\) and \(b\).

\(m = \) , \(b = \)

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

Use technology to find the equation, \(y = mx + b\) of the linear regression for the data by considering any outliers. Express coefficients correct to two decimal places.

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

x & 1 &4 &8 &13 &15 &19 &21 \\ \hline

y & 34 &31 &29 &23 &0 &17 &1 \\ \hline

\end{array} \)\(m = \) , \(b = \)

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

A fair coin is tossed 4 times. If \(X \) represents the number of tails obtained, find \(E\left( X \right)\).

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

The marks in an exam were normally distributed with mean 60% and standard deviation of 8%. Between what marks will a score almost certainly lie?

Between and

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

In which of the following subjects did John achieve his best result?

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

subject & mean & standard \ deviation & John’s \ mark \\ \hline

chemist & 75 & 7 & 73 \\ \hline

economy & 70 & 6 & 73 \\ \hline

finance & 65 & 5 & 73 \\ \hline

geography & 80 & 8 & 73 \\ \hline

\end{array} \)\(z\)-score on chemistry:

\(z\)-score on economy:

\(z\)-score on finance:

\(z\)-score on geography:

Which is the best result? (chemistry/economy/finance/geography)

CorrectIncorrect