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Tales by Dots and Lines — Class 8 MCQs with Answers

Class 8 CBSE Mathematics · Chapter 12

72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated

Practise the most important Class 8 CBSE Mathematics questions from Chapter 12, "Tales by Dots and Lines". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.

To score well in "Tales by Dots and Lines", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.

Use this chapter for focused revision. Start with the Easy set to check your basics on Tales by Dots and Lines, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.

Tales by Dots and Lines — important questions & MCQs with answers (Class 8 Mathematics)

14 solved questions from this chapter's difficulty levels, each with its answer and explanation.

  1. Q1Easy

    The mean (average) of a set of numbers is found by:

    A.adding them and dividing by how many there are✓ Correct
    B.adding them only
    C.multiplying them all
    D.taking the middle value

    Answer: A. adding them and dividing by how many there are

    Explanation: Mean = (sum of all values) ÷ (how many values there are). Adding the values without dividing, or picking the middle one, gives a different statistic (the median), not the mean.

  2. Q2Easy

    The median of a data set is:

    A.the middle value when the data is arranged in order✓ Correct
    B.the largest value
    C.the sum of the values
    D.the most common value

    Answer: A. the middle value when the data is arranged in order

    Explanation: The median is the middle value once the data is arranged in order — not the largest value, the total of all values, or the most frequent one, which are different statistics.

  3. Q3Easy

    The range of a data set is:

    A.the middle value
    B.the largest value minus the smallest✓ Correct
    C.the sum of the values
    D.the average

    Answer: B. the largest value minus the smallest

    Explanation: Range = largest value − smallest value, a measure of how spread out the data is — not the middle value, the sum of the values, or the average.

  4. Q4Easy

    In statistics, the word 'data' means:

    A.a single number
    B.a graph only
    C.a formula
    D.a collection of facts or numbers✓ Correct

    Answer: D. a collection of facts or numbers

    Explanation: In statistics, 'data' means a collection of facts or numbers gathered for study — a single number or one graph is only a small piece of a full data set.

  5. Q5Easy

    The mean of 4, 6 and 8 is:

    A.6✓ Correct
    B.18
    C.4
    D.8

    Answer: A. 6

    Explanation: Add the three values and divide by 3: 4 + 6 + 8 = 18, so the mean is 18 ÷ 3 = 6. Stopping at the sum, 18, is not the mean.

  6. Q6Easy

    The median of 3, 5 and 7 is:

    A.5✓ Correct
    B.7
    C.3
    D.15

    Answer: A. 5

    Explanation: Arrange the values in order (3, 5, 7) and pick the middle one: 5. The largest value, 7, is only the median if it happens to sit in the middle.

  7. Q7Medium

    The mean of 12, 15 and 18 is:

    A.15✓ Correct
    B.45
    C.12
    D.18

    Answer: A. 15

    Explanation: Add the three values and divide by 3: 12 + 15 + 18 = 45, so the mean is 45 ÷ 3 = 15. Stopping at the sum, 45, is not the mean.

  8. Q8Medium

    The median of 5, 2, 9, 1 and 7 is:

    A.7
    B.5✓ Correct
    C.9
    D.24

    Answer: B. 5

    Explanation: Arrange the values in order first: 1, 2, 5, 7, 9. With five values, the middle (third) one is the median: 5.

  9. Q9Medium

    The mode of 4, 4, 5, 6, 6, 6 and 7 is:

    A.4
    B.6✓ Correct
    C.7
    D.5

    Answer: B. 6

    Explanation: Count how often each value appears: 6 occurs three times, more than any other value, so the mode is 6.

  10. Q10Medium

    On a bar graph, Monday's bar is 20 and Tuesday's is 30. The increase from Monday to Tuesday is:

    A.10✓ Correct
    B.50
    C.30
    D.20

    Answer: A. 10

    Explanation: The increase is the later value minus the earlier one: Tuesday's 30 − Monday's 20 = 10. Reporting either day's value alone, 20 or 30, is not the increase.

  11. Q11Medium

    The mean of 10, 20, 30 and 40 is:

    A.100
    B.20
    C.25✓ Correct
    D.30

    Answer: C. 25

    Explanation: Add all four values and divide by 4: 10 + 20 + 30 + 40 = 100, so the mean is 100 ÷ 4 = 25. Dividing by 5 instead of 4 would wrongly give 20.

  12. Q12Hard

    The mean of 10 numbers is 15. If one number, 24, is removed, the mean of the remaining 9 is:

    A.15
    B.14✓ Correct
    C.13
    D.16

    Answer: B. 14

    Explanation: The original total is 10 × 15 = 150. Removing 24 leaves 150 − 24 = 126 spread over 9 numbers, so the new mean is 126 ÷ 9 = 14.

  13. Q13Hard

    The median of 4, 7, 2, 9, 5, 3 and 8 is:

    A.5✓ Correct
    B.4
    C.7
    D.6

    Answer: A. 5

    Explanation: Arrange in order: 2, 3, 4, 5, 7, 8, 9. With seven values, the middle (fourth) one is the median: 5.

  14. Q14Hard

    A data set has range 12 and a smallest value of 5. Its largest value is:

    A.7
    B.12
    C.17✓ Correct
    D.60

    Answer: C. 17

    Explanation: Range = largest − smallest, so largest = smallest + range = 5 + 12 = 17. Confusing the range itself, 12, with the largest value is a common slip.

Key concepts: Tales by Dots and Lines (Class 8 Mathematics)

This chapter is about making sense of data with a few well-chosen numbers and pictures. The mean, median and mode are three measures of the centre of a data set: the mean balances the values, the median is the middle value, and the mode is the most common one. The range measures spread. You also read and interpret bar graphs, line graphs and pie charts, choosing the right one for the story the data tells.

Data
A collection of facts or numbers gathered about something, which we organise, summarise and display to draw conclusions.
Mean (average)
The sum of all the values divided by how many there are; it 'balances' the data. The mean of 4, 6 and 8 is 18 ÷ 3 = 6.
Median
The middle value when the data is arranged in order; for an even number of values it is the average of the two middle ones.
Mode
The value that occurs most often. A data set can have one mode, more than one (bimodal), or none if no value repeats.
Range
The difference between the largest and smallest values; it tells how spread out the data is: range = largest − smallest.
Measures of central tendency
Mean, median and mode each describe a typical or central value, and they can differ, so the right one depends on the data.
Effect of outliers
A single very large or small value (an outlier) can pull the mean far off, while the median stays close to the middle — the median is resistant to outliers.
Bar graph
A chart using bars whose heights show the values; taller bars mean larger values, and double bar graphs compare two data sets.
Line graph
A graph joining points with lines, best for showing how a quantity changes over time; a rising line means increasing, a flat line means unchanged.
Pie chart
A circle split into sectors, each proportional to its share of the whole; a sector's angle is (value ÷ total) × 360°.
Frequency
How many times a particular value appears in the data, used to build frequency tables and histograms of grouped data.
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Tales by Dots and Lines — FAQs

What are the key concepts in Class 8 Mathematics Tales by Dots and Lines?+

This chapter is about making sense of data with a few well-chosen numbers and pictures. The mean, median and mode are three measures of the centre of a data set: the mean balances the values, the median is the middle value, and the mode is the most common one. The range measures spread. You also read and interpret bar graphs, line graphs and pie charts, choosing the right one for the story the data tells. Key ideas include Data, Mean (average), Median, Mode, Range, Measures of central tendency.

What does Class 8 Mathematics Chapter 12 (Tales by Dots and Lines) cover on XamBaaz?+

It has 72 NCERT-based MCQs on "Tales by Dots and Lines": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.

Are these "Tales by Dots and Lines" questions free to practise?+

Yes. Sign in with Google to practise "Tales by Dots and Lines" free. Full unlimited access is ₹999/year. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.

How should I revise "Tales by Dots and Lines" for the exam?+

Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.

Are these "Tales by Dots and Lines" MCQs available with answers?+

Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.

Is there negative marking in the "Tales by Dots and Lines" quizzes?+

Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.

What are the important questions from Tales by Dots and Lines (Class 8 Mathematics)?+

The questions that matter most test Data, Mean (average), Median, Mode, Range, Measures of central tendency. This page shows 14 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.

Is there an online quiz for Tales by Dots and Lines?+

Yes — Class 8 Mathematics Tales by Dots and Lines has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.

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