Data Representation Quiz - CBSE Class 11 Mathematics

Free practice quiz: Data Representation (CBSE Class 11 Mathematics). 20 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 11 Mathematics practice quiz has 20 multiple-choice questions on Data Representation, and 20 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Which type of graph is best for showing the distribution of a continuous variable?

   1. Bar graph
   2. Pie chart
   3. Histogram
   4. Line graph
   Show answer

   Answer: C. Histogram

   Histograms are used to represent the frequency distribution of continuous data. Bar graphs are for categorical data, pie charts show proportions, and line graphs show trends over time.

2. A frequency polygon is constructed by joining the midpoints of the tops of the rectangles in a:

   1. Pie chart
   2. Bar graph
   3. Histogram
   4. Scatter plot
   Show answer

   Answer: C. Histogram

   A frequency polygon is a line graph created by connecting the midpoints of the bars of a histogram.

3. Explain the difference between a histogram and a bar graph.

   1. There is no difference
   2. Histograms represent continuous data, bar graphs represent discrete data
   3. Histograms represent discrete data, bar graphs represent continuous data
   4. Histograms have gaps between bars, bar graphs do not.
   Show answer

   Answer: B. Histograms represent continuous data, bar graphs represent discrete data

   Histograms depict the frequency distribution of continuous data, while bar graphs represent the frequencies of discrete data. The key distinction lies in the nature of the data being represented.

4. Which measure of central tendency is most suitable for data represented by a histogram?

   1. Median
   2. Mode
   3. Mean
   4. Range
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   Answer: B. Mode

   While the mean and median can be estimated, the mode (the most frequent value or class) is directly observable from the histogram's tallest bar.

5. Given a data set with many outliers, which measure of central tendency is least affected?

   1. Mean
   2. Median
   3. Mode
   4. Range
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   Answer: B. Median

   The median is less susceptible to the influence of extreme values (outliers) compared to the mean.

More questions in this quiz

Answers and explanations are in the full quiz.

1. A pie chart is most suitable for representing:
2. What does the height of a bar in a bar graph represent?
3. Which graphical representation is best suited to display the trend of a variable over time?
4. What is a cumulative frequency curve also known as?
5. What does the area of each bar in a histogram represent?
6. How do you calculate the class mark of a class interval?
7. A data set shows the number of cars passing a certain point on a highway every hour. Which graph would best show the fluctuations throughout the day?
8. Constructing a frequency distribution table involves grouping data into:
9. What is the purpose of a cumulative frequency distribution?
10. How can you visually identify outliers in a box plot?
11. Describe the process of constructing a box-and-whisker plot.
12. How does the interquartile range (IQR) help in identifying outliers?
13. Explain how to interpret a scatter plot to identify correlation between two variables.
14. What are some limitations of using only visual representations of data, such as graphs and charts?
15. A researcher wants to represent the relationship between height and weight for a large population. Which graphical method is most suitable, and why?

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