Are you ready to take your first step toward achieving your goal?
- 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
OK, let’s get started now!
Are you ready to take your first step toward achieving your goal?
- Ten diagnosis quiz questions
- Ten minutes in duration
- Required to attempt all questions
- A mixture of short-answer and multiple-choice questions
- Instant feedback straight after the quiz
OK, let’s get started now!
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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 =
CorrectIncorrectHint
\(\text{Experimental probability } = \dfrac{{\text{favourable outcomes }}}{{\text{total number of trials }}}\)
- 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 .
CorrectIncorrectHint
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