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.

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
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   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
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   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.
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   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.

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