How many practice questions are available for Statistics?

SparkEd Math offers 60+ practice questions for Statistics across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Statistics content free on SparkEd Math?

Yes! All Statistics content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Statistics differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Statistics problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Statistics content aligned with the ICSE syllabus?

Yes, all Statistics questions and lessons on SparkEd Math are fully aligned with the Indian Certificate of Secondary Education (ICSE) syllabus for Class 9. The content follows the official curriculum structure and exam pattern.

Statistics — Class 9 ICSE (2025-26)

About Statistics — Class 9 ICSE

Calculate mean, median, and mode for grouped and ungrouped data sets. This topic is part of the ICSE Class 9 mathematics syllabus (chapter: Chapter 13). On this page you can practice 49 questions across three difficulty levels — 20 easy, 20 medium, and 9 hard — each with a visual step-by-step solution, plus a timed 26-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Statistics

Unit 1: Unveiling Data - Introduction to Statistics
Unit 2: The Heart of Data - Mean for Ungrouped Data
Unit 3: Finding the Middle and the Most - Median and Mode (Ungrouped Data)
Unit 4: Statistics for Large Datasets - Grouped Data
Unit 5: Consolidating Knowledge and Real-World Application

Interactive lesson · about 15 minutes · checkpoint question after every unit

Statistics — solved examples for Class 9 ICSE

Example 1easy

Which of the following statements is true regarding raw data in statistics?

A)A) Raw data is always organized in ascending or descending order.
B)B) Raw data has already been processed, analyzed, and summarized.
C)C) Raw data refers to data collected in its original, unorganized form.
D)D) Raw data is only used for calculating the mean, not the median or mode.

Step-by-step solution

Raw data is the initial set of information collected before it undergoes any form of processing or organization.
It is typically unorganized and may contain redundancies or errors, which are addressed during data processing.

Answer: C) Raw data refers to data collected in its original, unorganized form.

Example 2medium

For the class interval 25-35, what is its class mark and class size respectively?

A)A. 30, 9
B)B. 30, 10
C)C. 35, 10
D)D. 25, 9

Step-by-step solution

The class mark is the midpoint of the class interval, calculated as (Lower Limit + Upper Limit) / 2.
Class Mark = (25 + 35) / 2 = 60 / 2 = 30.
The class size is the difference between the upper limit and the lower limit of the class interval.
Class Size = Upper Limit - Lower Limit = 35 - 25 = 10.

Answer: B. 30, 10

Example 3hard

The mean, median, and mode of a data set are 15, 12, and 10 respectively. If each observation in the data set is multiplied by 2 and then decreased by 3, what will be the new mean, median, and mode?

A)(A) 27, 21, 17
B)(B) 30, 24, 20
C)(C) 27, 24, 17
D)(D) 30, 21, 20

Step-by-step solution

When each observation in a data set is multiplied by a constant 'k', the mean, median, and mode are also multiplied by 'k'.
When a constant 'c' is added to (or subtracted from) each observation, the mean, median, and mode are also increased by (or decreased by) 'c'.
New Mean = (Original Mean × 2) - 3 = (15 × 2) - 3 = 30 - 3 = 27.
New Median = (Original Median × 2) - 3 = (12 × 2) - 3 = 24 - 3 = 21.
New Mode = (Original Mode × 2) - 3 = (10 × 2) - 3 = 20 - 3 = 17.

Answer: (A) 27, 21, 17

Practice questions on Statistics

Q1.easy
Rohan was asked to find the mean of the following observations: 7, 10, 15, 12. He calculated it as (7 + 10 + 15 + 12) / 5. What mistake did Rohan make?
1. A)A) He incorrectly added the observations.
2. B)B) He incorrectly counted the number of observations.
3. C)C) He should have arranged the data in order first.
4. D)D) He should have used the median instead of the mean.
Show answer
Answer: B) He incorrectly counted the number of observations.
Hint: The mean is calculated by dividing the sum of observations by the *total number* of observations.
Q2.easy
Which of the following statements correctly defines the median of a data set?
1. A)A) The median is the middle value of a data set when it is arranged in ascending or descending order.
2. B)B) The median is the sum of all observations divided by the number of observations.
3. C)C) The median is the value that appears most frequently in a data set.
4. D)D) The median is the difference between the highest and lowest values in a data set.
Show answer
Answer: A) The median is the middle value of a data set when it is arranged in ascending or descending order.
Hint: Recall the first essential step involved in finding the median, and what it represents in the ordered sequence.
Q3.easy
What is the mode of the following data set: 1, 5, 2, 7, 3, 9, 4, 6?
1. A)A) 5
2. B)B) 7
3. C)C) 3
4. D)D) No mode
Show answer
Answer: D) No mode
Hint: Remember that the mode is the observation that occurs most frequently. What if no observation is repeated?
Q4.medium
The marks obtained by 7 students in a test are 45, 62, 70, 45, 80, 55, 68. What is the mean mark?
1. A)A. 60
2. B)B. 62
3. C)C. 60.71 (approx)
4. D)D. 63.5
Show answer
Answer: C. 60.71 (approx)
Hint: The mean is the sum of all observations divided by the total number of observations.
Q5.medium
Find the median of the following data: 12, 18, 9, 21, 15, 17, 13.
1. A)A. 17
2. B)B. 13
3. C)C. 16
4. D)D. 15
Show answer
Answer: D. 15
Hint: First, arrange the data in ascending order. Then, identify the middle value.
Q6.medium
What is the mode of the following set of numbers: 5, 8, 9, 5, 12, 8, 15, 5, 10, 8?
1. A)A. 5
2. B)B. 8
3. C)C. 5 and 8
4. D)D. There is no mode.
Show answer
Answer: C. 5 and 8
Hint: The mode is the observation that occurs most frequently. A data set can have more than one mode.
Q7.hard
A grouped frequency distribution has a total of 100 observations. The cumulative frequency (less than type) for the class 30-40 is 40, and for the class 40-50 is 65. Which of the following statements is FALSE?
1. A)(A) The frequency of the class 40-50 is 25.
2. B)(B) The median class of the distribution is 40-50.
3. C)(C) More than half of the observations are less than 50.
4. D)(D) The mode of the distribution must lie in the class 40-50.
Show answer
Answer: (D) The mode of the distribution must lie in the class 40-50.
Hint: Carefully analyze each statement based on the definitions of frequency, cumulative frequency, median class, and modal class. Remember that the modal class is determined by the highest frequency, not cumulative frequency or median position.
Q8.hard
A grouped frequency distribution has class intervals 0-10, 10-20, 20-30, 30-40, 40-50, and their respective frequencies are 5, 12, 10, 12, 8. Which of the following statements is true regarding the mode?
1. A)(A) The modal class is uniquely 10-20.
2. B)(B) The modal class is uniquely 30-40.
3. C)(C) The distribution is bimodal, with modal classes 10-20 and 30-40.
4. D)(D) The mode cannot be determined from this data.
Show answer
Answer: (C) The distribution is bimodal, with modal classes 10-20 and 30-40.
Hint: Recall that the modal class is the class interval with the highest frequency. Consider if there's only one such class or multiple.
Q9.hard
The mean weight of 25 students in a class was calculated as 48 kg. Later, it was discovered that one student's weight was wrongly read as 34 kg instead of 43 kg. What is the correct mean weight of the students?
1. A)(A) 47.64 kg
2. B)(B) 48.36 kg
3. C)(C) 48.00 kg
4. D)(D) 48.24 kg
Show answer
Answer: (B) 48.36 kg
Hint: First, find the original (incorrect) sum of weights. Then, adjust this sum by subtracting the wrong value and adding the correct value. Finally, calculate the new mean.

These are 9 of the 49 questions available for Statistics. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.