Organizing and Grouping Data Quiz - CBSE Class 8 Mathematics

Free practice quiz: Organizing and Grouping Data (CBSE Class 8 Mathematics). 19 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. A class collected data on the number of siblings each student has. The data is: 0, 1, 2, 1, 3, 2, 1, 0, 2, 1. How many students have 1 sibling?

   1. 1
   2. 2
   3. 3
   4. 4
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   Answer: D. 4

   Count the number of times '1' appears in the data set.

2. A survey was conducted to find the favorite colors of 25 students. The results are: Red-6, Blue-8, Green-4, Yellow-7. Represent this data using a bar graph. Which color has the most votes?

   1. Red
   2. Blue
   3. Green
   4. Yellow
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   Answer: B. Blue

   The bar graph will visually show which color has the highest frequency.

3. Two sets of data have the same mean but different standard deviations. What can you infer about the distribution of the data in each set?

   1. Both datasets have the same spread.
   2. The dataset with the higher standard deviation has a wider spread.
   3. The dataset with the lower standard deviation has a wider spread.
   4. Nothing can be inferred about the spread of data.
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   Answer: B. The dataset with the higher standard deviation has a wider spread.

   Standard deviation measures the spread or dispersion of data. A higher standard deviation implies greater variability.

4. What is the significance of using a histogram to represent data compared to other methods like bar charts?

   1. Histograms are better for discrete data, while bar charts are better for continuous data.
   2. Histograms are better for categorical data, while bar charts are better for numerical data.
   3. Histograms are better for continuous data, while bar charts are better for discrete or categorical data.
   4. Histograms and bar charts are equally effective for all types of data.
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   Answer: C. Histograms are better for continuous data, while bar charts are better for discrete or categorical data.

   Histograms are specifically designed for continuous data, showing frequency distributions across ranges.

5. How can outliers affect the choice of class intervals when creating a histogram?

   1. Outliers have no effect on the choice of class intervals.
   2. Outliers may necessitate wider class intervals to accommodate extreme values.
   3. Outliers may necessitate narrower class intervals to highlight the extreme values.
   4. Outliers should always be removed before creating a histogram.
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   Answer: B. Outliers may necessitate wider class intervals to accommodate extreme values.

   Extreme values (outliers) can skew the representation if class intervals are too narrow. Wider intervals are often necessary to accommodate outliers without distorting the overall distribution.

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