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

A four-sided tetrahedron was tossed 20 times. The outcomes of the hidden number were recorded.

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

hidden \ number &frequencies \\ \hline

1 &4 \\ \hline

2 &6 \\ \hline

3 &5 \\ \hline

4 &5 \\ \hline

\end {array} \)Find the experimental probability of a “Three” or “Four”.

Experimental probability =

CorrectIncorrect##### Hint

\(\text{Experimental probability } = \dfrac{{\text{favourable outcomes }}}{{\text{total number of trials }}}\)

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

Find the number of elements of the sample space for tossing a coin and choosing a letter from alphabet.

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

Choose the best description of the grid shown below.

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

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

&iPhone &Samsung &no \ phone \\ \hline

Year \ 7 &26 &21 &9 \\ \hline

Year \ 8 &38 &22 &4 \\ \hline

Year \ 9 &42 &35 &3 \\ \hline

\end {array} \)Find the probability that a randomly chosen student in Year 8 and uses an iPhone. Answer in decimal form.

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

A sport club in a city wants to improve its facilities. Some of residents object this due to noisy. To support its case the sport club asks all members in the club to sign a petition. State the intended population.

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

\( 49 \) is removed from the data set represented in the stem-and-leaf plot. Find the new median.

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

0 &7 \ 8 \\ \hline

1 &2 \ 3 \ 5 \ 7 \\

2 &1 \ 3 \ 5 \ 5 \ 8 \\

3 &0 \ 2 \ 5 \\

4 &3 \ 9 \\

\end {array} \)The new median is .

CorrectIncorrect##### Hint

Median is the middle value of the ordered data set.

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

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

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

Find \( a, b, c, d, e, f, g \) and the mean.

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

Score (x) & Frequency (f) & f \times x \\ \hline

5 & a & 5 \\ \hline

10 & 9 & b \\ \hline

15 & c & 165 \\ \hline

20 & 15 & d \\ \hline

25 & e & 350 \\ \hline

Total & f & g \\ \hline

\end{array} \)\(a = \)

\(b = \)

\(c = \)

\(d = \)

\(e = \)

\(f = \)

\(g = \)

\(\bar x = \)

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

Describe the strength of the linear relationship with correlation coefficient \(r = 0.9\).

CorrectIncorrect