Year 12 Further Mathematics Chapter 1 & 2 Review

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Fiona Mackenzie
F
Fiona Mackenzie
Community Contributor
Quizzes Created: 1 | Total Attempts: 322
| Attempts: 322
SettingsSettings
Please wait...
  • 1/9 Questions

    The amount of money (in dollars) spent by each of 15 students on leisure activities in the past week is as follows:10    30    30    30    35    38    45    45    47    49    50    51    52    58    100The data value of $100 is an outlier.

    • True
    • False
Please wait...
About This Quiz

Summarising numerical data: the median, range, IQR and box plots

Year 12 Further Mathematics Chapter 1 & 2 Review - Quiz

Quiz Preview

  • 2. 

    A sample of 21 travellers was asked the number of nights they spent away from home last year. Their responses are summarised in the following stem-and-leaf plot.0  |  1 1 2 2 3 4 5 5 6 6 7 91  |  0 2 4 4 62  |  2 2 33  |4  |  4The interquartile range (IQR) of nights away from home is:

    • 3.5

    • 11.5

    • 15

    • 22

    • 43

    Correct Answer
    A. 11.5
    Explanation
    The interquartile range (IQR) is a measure of the spread or variability of a dataset. It is calculated by subtracting the value of the first quartile (Q1) from the value of the third quartile (Q3). In this case, the first quartile is 2 and the third quartile is 13.5. Therefore, the IQR is 13.5 - 2 = 11.5.

    Rate this question:

  • 3. 

    Two hundred people were asked about their attitude to compulsory voting (support, no opinion, do not support) and their age (in years).The variables Attitude to compulsory voting and Age are:

    • Both categorical variables

    • Both numerical variables

    • A categorical and a numerical variable respectively

    • A numerical and a categorical variable respectively

    • Neither numerical nor categorical variables

    Correct Answer
    A. A categorical and a numerical variable respectively
    Explanation
    The variables "Attitude to compulsory voting" and "Age" are a categorical and a numerical variable respectively. "Attitude to compulsory voting" is a categorical variable because it represents different attitudes (support, no opinion, do not support) which are distinct categories. "Age" is a numerical variable because it represents a quantitative measurement of a person's age in years.

    Rate this question:

  • 4. 

    A sample of 21 travellers was asked the number of nights they spent away from home last year. Their responses are summarised in the following stem-and-leaf plot.0  |  1 1 2 2 3 4 5 5 6 6 7 91  |  0 2 4 4 62  |  2 2 33  |4  |  4The median number of nights away from home is:

    • 6

    • 6.5

    • 7

    • 8

    • 9

    Correct Answer
    A. 7
    Explanation
    The stem-and-leaf plot shows the number of nights away from home for the 21 travellers. The numbers in the plot are arranged in ascending order. The median is the middle value in a set of data. In this case, there are 21 data points, so the median would be the 11th value. Looking at the plot, the 11th value is 7, so the median number of nights away from home is 7.

    Rate this question:

  • 5. 

    The amount of money (in dollars) spent by each of 15 students on leisure activities in the past week is as follows:10    30    30    30    35    38    45    45    47    49    50    51    52    58    100The 5 figure summary for this data is:

    • Minimum = 10, Q1 = 30, Median = 45, Q3 = 52, Maximum = 100

    • Minimum = 10, Q1 = 30, Median = 46, Q3 = 51, Maximum = 100

    • Minimum = 10, Q1 = 30, Median = 45, Q3 = 51.5, Maximum = 100

    • Minimum = 10, Q1 = 30, Median = 45, Q3 = 51, Maximum = 100

    Correct Answer
    A. Minimum = 10, Q1 = 30, Median = 45, Q3 = 51, Maximum = 100
    Explanation
    The 5 figure summary provides a summary of the distribution of the data. The minimum value is the smallest value in the dataset, which is 10. The first quartile (Q1) represents the 25th percentile of the data, and it is 30. The median represents the middle value of the dataset, and it is 45. The third quartile (Q3) represents the 75th percentile of the data, and it is 51. Lastly, the maximum value is the largest value in the dataset, which is 100. This summary provides information about the spread and central tendency of the data.

    Rate this question:

  • 6. 

    The amount of money (in dollars) spent by each of 15 students on leisure activities in the past week is as follows:10    30    30    30    35    38    45    45    47    49    50    51    52    58    100which of the following statements is true?

    • 50% of students spent between 30 and 51 dollars

    • 25% of students spent less than $35

    • 25% of students spent more than $50

    • 75% of students spent less than $50

    Correct Answer
    A. 50% of students spent between 30 and 51 dollars
    Explanation
    To find the statement that is true, we need to analyze the given data. There are a total of 15 students. The amount of money spent by each student is arranged in ascending order. The 50% mark would be the median, which is the middle value when the data is arranged in ascending order. In this case, the median is between 30 and 51 dollars, as it falls between the 7th and 8th values. Therefore, the statement "50% of students spent between 30 and 51 dollars" is true.

    Rate this question:

  • 7. 
    This distribution is approximately _________ . - ProProfs

    This distribution is approximately _________ .

    Correct Answer
    symmetric
    Explanation
    The given correct answer suggests that the distribution being referred to is approximately symmetric. This means that the data is evenly distributed on both sides of the central point, with similar frequencies of values occurring on either side. A symmetric distribution is often characterized by a bell-shaped curve, such as the normal distribution.

    Rate this question:

  • 8. 

    Two hundred people were asked about their attitude to compulsory voting (support, no opinion, do not support) and their age (in years).The most appropriate way to graphically display the information about Age is to use a:

    • Dot plot

    • Bar chart

    • Segmented bar chart

    • Histogram

    • Back-to-back stem plot

    Correct Answer
    A. Histogram
    Explanation
    A histogram is the most appropriate way to graphically display the information about age in this scenario. A histogram is a visual representation of data that uses bars to represent the frequency or count of data points within specific intervals or bins. In this case, the age data can be grouped into intervals (e.g., 0-10, 11-20, 21-30, etc.) and the height of each bar in the histogram would represent the number of people within that age range. This allows for a clear visualization of the distribution of ages among the surveyed individuals.

    Rate this question:

  • 9. 
    Which of the following statements is correct. - ProProfs

    Which of the following statements is correct.

    • The above box plot has a symmetric distribution.

    • The above box plot has a negatively skewed distribution.

    • The above box plot has a positively skewed distribution.

    • The above box plot has an increasingly positive distribution.

    Correct Answer
    A. The above box plot has a positively skewed distribution.
    Explanation
    The above box plot has a positively skewed distribution because the median line is closer to the lower quartile, indicating that the data is concentrated towards the higher values. Additionally, the whisker on the right side of the box plot is longer than the one on the left side, further indicating a skew towards higher values.

    Rate this question:

Quiz Review Timeline (Updated): Mar 20, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 20, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 22, 2015
    Quiz Created by
    Fiona Mackenzie
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.