Chapter 10 (Balbharati) · Class 7 Maharashtra SSC · MCQ Test
Data Handling (माहिती हाताळणी) MCQ Test — Class 7 Maharashtra SSC
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Data Handling (माहिती हाताळणी) — MCQ Questions
1Which of the following statements about 'raw data' is TRUE?
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Answer: B) It is data collected in its original form, before any organization.
Hint: Think about data as it is first collected, without any sorting or grouping.
Solution:
Raw data refers to the data that has been collected but has not yet been processed, organized, or analyzed.
It is in its original, unarranged form, which can include numerical or categorical values.
2Why is it useful to organize raw data into a frequency distribution table?
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Answer: C) To understand the distribution and frequency of each observation clearly.
Hint: Consider what a frequency table directly shows you about each unique data point.
Solution:
A frequency distribution table helps in systematically arranging raw data. It shows how often each specific value or group of values appears in a dataset.
This organization makes it much easier to see patterns, identify the most common items, and understand the overall distribution of the data.
3Rohan collected the scores of 5 students in a math test: 15, 20, 10, 25, 12. He calculated the range as 10. Is Rohan correct? If not, what is the correct range?
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Answer: C) No, the correct range is 15.
Hint: Remember, the range is the difference between the highest and the lowest observations in the data set.
Solution:
First, identify the highest score and the lowest score from the given data set.
Highest score = 25, Lowest score = 10.
The range is calculated as: Range = Highest score - Lowest score.
Range = 25 - 10 = 15. Therefore, Rohan's calculation was incorrect.
4Consider a dataset: 5, 8, 12, 15. Which of the following statements about its arithmetic mean is TRUE?
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Answer: C) The mean represents the average value and can be a decimal, even if all data points are integers.
Hint: Recall the definition of the mean and how it is calculated. Does it have to be an exact data point?
Solution:
The arithmetic mean (average) is calculated by summing all observations and dividing by the number of observations.
For the given dataset: Mean = (5 + 8 + 12 + 15) / 4 = 40 / 4 = 10.
The mean (10) is not one of the values in the dataset, disproving A. It is not greater than the largest value (15), disproving B. D describes the median, not the mean. The mean can indeed be a decimal or an integer, regardless of the data types, representing the central tendency.
5A shopkeeper recorded the shoe sizes sold in a day: 6, 7, 7, 8, 9, 7, 6, 10. Which shoe size is the mode, and what does it tell the shopkeeper?
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Answer: B) Size 7, it's the most frequently sold size.
Hint: The mode is the observation that occurs most often in a dataset.
Solution:
To find the mode, we count the frequency of each shoe size.
Sizes: 6 (appears 2 times), 7 (appears 3 times), 8 (appears 1 time), 9 (appears 1 time), 10 (appears 1 time).
The shoe size 7 appears most frequently (3 times). This information is valuable for the shopkeeper to know which size is most popular and needs to be stocked more.
6Aditya found the median of the numbers 10, 5, 12, 8, 15 by simply picking the middle number, which is 12. What mistake did Aditya make?
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Answer: B) He did not arrange the numbers in ascending or descending order first.
Hint: To find the median, the data must always be in a specific order.
Solution:
The median is the middle value of a dataset when the observations are arranged in ascending or descending order.
Aditya directly picked the middle number without ordering the data, which is incorrect.
First, arrange the numbers: 5, 8, 10, 12, 15. Then, the middle number (median) is 10.
7A teacher wants to find the most common score in a test where many students scored similarly, but a few scored very high or very low. Which measure of central tendency would be most appropriate for the teacher to use?
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Answer: C) Mode
Hint: Think about which measure specifically tells you the most frequently occurring value.
Solution:
The mean (average) can be heavily influenced by extremely high or low scores (outliers).
The median is the middle value and is less affected by outliers, but it doesn't directly tell the 'most common' value.
The mode specifically identifies the observation that occurs with the highest frequency. In this scenario, where the teacher wants to find the 'most common score', the mode is the most appropriate measure.
The range measures the spread, not central tendency.
8Imagine a bar graph showing the favorite colors of Class 7 students. The bar for 'Blue' reaches 20 units, 'Red' reaches 15 units, 'Green' reaches 10 units, and 'Yellow' reaches 5 units. How many more students prefer Blue over Green?
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Answer: B) 10 students
Hint: Read the values for Blue and Green from the graph description and find their difference.
Solution:
From the description, the number of students who prefer Blue is 20.
The number of students who prefer Green is 10.
To find how many more students prefer Blue over Green, subtract the number of students who prefer Green from those who prefer Blue: 20 - 10 = 10.
9Which of the following statements about a bar graph is TRUE?
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Answer: B) The height of each bar is proportional to the value it represents.
Hint: Consider the main purpose and visual representation of a bar graph.
Solution:
In a bar graph, all bars typically have the same width, making statement A incorrect.
Bar graphs are generally used for discrete or categorical data, not exclusively continuous data, making statement C incorrect.
While bars can be ordered by height, it's not a strict rule; they can be ordered by category, alphabetically, etc., making statement D incorrect.
The key feature of a bar graph is that the length or height of each bar directly corresponds to the frequency or value of the category it represents, making statement B correct.
10A double bar graph is particularly useful for:
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Answer: B) Comparing two sets of data simultaneously.
Hint: Think about what the 'double' in 'double bar graph' implies.
Solution:
A single bar graph is used for showing one set of data's frequency (A).
Line graphs are often used for continuous data over time (C).
Pie charts are typically used for displaying parts of a whole as percentages (D).
A double bar graph is specifically designed to visually compare two different sets of data related to the same categories, side-by-side.
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Tips for Data Handling (माहिती हाताळणी) MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Data Handling (माहिती हाताळणी) MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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