x̄ x̄=Σxᵢ/n Sort→Median Mode=max f Histogram: bars touch Bar graph: bars gap
x̄
Chapter 12  ·  Class IX Mathematics  ·  MCQ Practice

MCQ Practice Arena

Statistics

Collect, Organise, Represent — Make Data Speak and Scores Follow

📋 45 MCQs ⭐ 24 PYQs ⏱ 55 sec/Q
🚀 Start Practising 📖 Revise Notes First

MCQ Bank Snapshot

45Total MCQs
22Easy
18Medium
5Hard
24PYQs
55 secAvg Time/Q
7Topics
Easy 49% Medium 40% Hard 11%

Why Practise These MCQs?

CBSE Class IXNTSEState Boards

Statistics in Class IX introduces data collection, tabulation, graphical representation (bar graph, histogram, frequency polygon), and central tendency (mean, median, mode) for ungrouped data. CBSE awards 6–8 marks; MCQs focus on reading graphs and computing mean/median/mode for small datasets. NTSE includes data interpretation. This chapter is highly visual — practise reading bar charts and histograms quickly.

Topic-wise MCQ Breakdown

Data Collection & Terms4 Q
Frequency Distribution Table6 Q
Bar Graph (Reading & Interpretation)8 Q
Histogram8 Q
Frequency Polygon5 Q
Mean of Ungrouped Data8 Q
Median & Mode of Ungrouped Data6 Q

Must-Know Formulae Before You Start

Recall these cold before attempting MCQs — they appear in >70% of questions.

$\bar{x} = \sum x_i / n\ (\text{Mean, ungrouped})$
$\text{Median (odd n): middle value after sorting}$
$\text{Median (even n): average of two middle values}$
$\text{Mode: value with highest frequency}$
$\text{Class width} = \text{upper limit} - \text{lower limit}$
$\text{Class mark} = (\text{upper limit} + \text{lower limit}) / 2$

MCQ Solving Strategy

Mean MCQs: sum all values and divide by count — list values carefully from the frequency table. Median MCQs: always sort the data in ascending order first, then find the middle value. For even n, take the average of the n/2 and (n/2 + 1)th values. Mode is the value that appears most often — if two values tie, the data is bimodal. Histogram MCQs: the y-axis is frequency, x-axis is class intervals — bars touch each other (unlike bar graphs where bars are separated).

⚠ Common Traps & Errors

Difficulty Ladder

Work through each rung in order — do not jump to Hard before mastering Easy.

① Easy

Read bar graphs and histograms, find mean of small ungrouped datasets

② Medium

Find median and mode, interpret frequency polygon, build frequency table

③ Hard

Combined mean/median/mode from table, class mark for mean computation

★ PYQ

CBSE — mean + graph interpretation; NTSE — data analysis and comparison

Continue Your Preparation

📖 Chapter Notes Revise concepts & theory 🧠 MCQ Practice Topic-wise Questions 📘✔️ Exercises Step-by-step NCERT solutions ✔️❌ True / False Concept-based True & False ➡ Next Chapter Back to Chapter 1: Number Systems
🎯 Knowledge Check

Maths — STATISTICS

50 Questions Class 9 MCQs
1
A bar graph is best used to represent which type of data?
2
Which graph uses bars that touch each other?
3
The height of a bar in a bar graph represents:
4
A frequency polygon is drawn by joining points plotted at:
5
What is a frequency table used for?
6
Which graph is most suitable for showing continuous grouped data?
7
In a histogram, the width of each rectangle corresponds to:
8
A frequency polygon can be drawn from:
9
Bar graphs are drawn on:
10
What is the horizontal axis in a histogram usually labeled with?
11
When class intervals do not have gaps, the data is:
12
The top of each bar in a bar graph represents:
13
Which of the following is NOT used in a histogram?
14
Frequency polygons are useful because they:
15
What is the midpoint of class interval 10–20?
16
A histogram requires class intervals to be:
17
The length of a bar in a bar graph is proportional to:
18
A frequency polygon is a:
19
If a histogram has very tall bars on one side, it indicates:
20
Which of the following is essential for drawing a histogram?
21
Bar graphs compare data across:
22
The point where the frequency polygon meets the x-axis is at:
23
Gaps in bar graphs represent:
24
What do adjoining bars in histogram show?
25
Frequency tables help in:
26
The y-axis of histogram represents:
27
What must be same for all bars in a histogram?
28
What do you plot for frequency polygon?
29
A histogram with equal heights for all bars represents:
30
A bar graph is also known as:
31
The main advantage of bar graph is:
32
Frequency polygons join which type of points?
33
In bar graphs, bars may be:
34
If class intervals are unequal, histogram requires:
35
Frequency polygon without histogram is drawn using:
36
A bar graph with no scale is:
37
In a histogram, rectangles represent:
38
A broken axis is used in bar graphs to:
39
For accurate histogram, intervals must be:
40
A frequency polygon always forms a:
41
The area of histogram bars is proportional to:
42
Frequency polygons are useful to represent:
43
A bar graph compares:
44
Histogram requires:
45
The line segments in a frequency polygon are joined:
46
Class mark of 25–35 is:
47
A histogram with a single very high bar suggests:
48
A bar graph’s width of bars must be:
49
Why is frequency table important before drawing histogram?
50
A frequency polygon represents frequency using:
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NCERT Class 9 Maths Chapter 12 Statistics MCQs
NCERT Class 9 Maths Chapter 12 Statistics MCQs — Complete Notes & Solutions · academia-aeternum.com
Statistics in Class 9 Mathematics (Chapter 12) lays the foundation for understanding how data is collected, organized, and represented using different graphical methods. In this chapter, students learn to interpret and construct bar graphs, histograms, and frequency polygons—powerful tools that simplify large data sets and convert them into meaningful visual information. To help learners master these essential concepts, the following multiple-choice questions are designed strictly according to…
🎓 Class 9 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
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    Sharing this chapter
    NCERT Class 9 Maths Chapter 12 Statistics MCQs
    NCERT Class 9 Maths Chapter 12 Statistics MCQs — Complete Notes & Solutions · academia-aeternum.com
    Statistics in Class 9 Mathematics (Chapter 12) lays the foundation for understanding how data is collected, organized, and represented using different graphical methods. In this chapter, students learn to interpret and construct bar graphs, histograms, and frequency polygons—powerful tools that simplify large data sets and convert them into meaningful visual information. To help learners master these essential concepts, the following multiple-choice questions are designed strictly according to…
    🎓 Class 9 📐 Mathematics 📖 NCERT ✅ Free Access 🏆 CBSE · JEE
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    Telegram
    X / Twitter
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    Threads
    Pinterest
    LinkedIn
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    Email
    academia-aeternum.com/class-9/mathematics/statistics/mcqs/ Copy link
    💡
    Exam tip: Sharing chapter notes with your study group creates a reinforcement loop. Teaching a concept is the fastest path to mastering it.

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