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

State the following data as categorical or numerical.

*a teacher marks her student’s homework with a grade A, B, C, D, or E.*CorrectIncorrect - Question 2 of 10
##### 2. 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 sample.

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

A score was added to the set of scores: \( 15, 18, 20, 22, 24 \) and \( 26 \). The new mean is equal to \( 20 \). Find the new mode.

The new mode is .

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

A coin was tossed 40 times. The outcomes were 22 Heads and 28 Tails. Find the experimental probability of a Tail.

Experimental probability =

CorrectIncorrect##### Hint

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

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

Find the number of elements of the sample space for choosing a three digit number. Note that leading zeroes are not counted as digits.

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

A card is randomly selected from a box containing three red, five yellow and four blue cards. The probability of not getting a red or yellow card is \(\dfrac{a}{b}\). Find \(a\) and \(b\), where \(a\) and \(b\) have no common factors.

\(a = \) , \(b = \)

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

There are five green and two blue marbles in a bag. Two marbles are removed, one after the other without replacement. What is the probability that the marbles are the same colour? Answer to two decimal places.

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

Given \(P\left( A \right) = \dfrac{1}{2}\) and \(P\left( B \right) = \dfrac{1}{3}\), find \(P\left( {\text{neither}\;A\;\text{nor}\;B} \right)\), correcting to one decimal place.

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

Choose the best description of the grid shown below.

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

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

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

1 & 0 & 1 &&&& \\

2 & 1 & 2 & 6 &&& \\

3 & 2 & 4 & 7 & 7 && \\

4 & 3 &&&&& \\

\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