Preparing for the CUET Statistics exam requires a strong understanding of concepts and regular practice. One of the best ways to prepare for the exam is by solving CUET Statistics previous year questions.

Previous year questions help students understand the exam pattern, difficulty level, and important topics. When students solve past questions, they become familiar with the types of problems that appear in the exam.

In this article, we will look at some CUET Statistics previous year questions, their solutions, and tips that can help students prepare better.

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Why CUET Statistics Previous Year Questions Are Important

Many students focus only on reading theory. However, solving previous year questions is equally important.

Here are some benefits:

• Helps understand the exam pattern
• Shows the types of questions asked in the exam
• Improves problem-solving skills
• Helps students manage time during the exam

Students who practice previous year questions regularly often perform better in competitive exams.

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Question 1: Probability

Question

A box contains 5 red balls and 5 blue balls. One ball is selected randomly. Find the probability that the ball is red.

Solution

Total balls = 10
Number of red balls = 5

Using probability formula:

P(A) = \frac{n(A)}{n(S)}$$P(\text{Red}) = \frac{5}{10}$$P(Red)=105​ $$P(\text{Red}) = 0.5$$P(Red)=0.5

Answer: Probability = 0.5

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Question 2: Mean

Question

Find the mean of the following numbers:

6, 9, 12, 15, 18

Solution

First add all numbers:

6 + 9 + 12 + 15 + 18 = 60

Number of values = 5

Mean formula:$$\bar{x} = \frac{\sum x}{n}$$xˉ=n∑x​ $$\bar{x} = \frac{60}{5}$$xˉ=560​ $$\bar{x} = 12$$xˉ=12

Answer: Mean = 12

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Question 3: Median

Question

Find the median of the dataset:

3, 5, 7, 9, 11

Since the number of values is odd, the median is the middle value.

Ordered data:

3, 5, 7, 9, 11

Middle value = 7

Answer: Median = 7

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Question 4: Mode

Question

Find the mode of the dataset:

4, 6, 6, 7, 8, 6, 9

The value that appears most frequently is 6.

Answer: Mode = 6

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Question 5: Variance

Question

Find the variance of the dataset:

2, 4, 6, 8

Step 1: Find mean.$$\bar{x} = \frac{2 + 4 + 6 + 8}{4}$$xˉ=42+4+6+8​ $$\bar{x} = 5$$xˉ=5

Step 2: Use variance formula.

\sigma^2 = \frac{1}{N}\sum_{i=1}^{N}(x_i – \mu)^2

x	x − μ	(x − μ)²
2	-3	9
4	-1	1
6	1	1
8	3	9

Sum of squares = 20

Variance:$$\frac{20}{4} = 5$$420​=5

Answer: Variance = 5

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Question 6: Standard Deviation

Standard deviation is the square root of variance.$$\sigma = \sqrt{\sigma^2}$$σ=σ2​

Variance = 5$$\sigma = \sqrt{5}$$σ=5​

Answer: Standard deviation ≈ 2.24

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Question 7: Z-Score

Question

If mean = 50 and standard deviation = 5, find the Z-score of value 60.

$z = \frac{x – \mu}{\sigma}$z=σx−μ​

$x$x

$\mu$μ

$\sigma$σ

$z=\frac{x-\mu}{\sigma}\approx 1.2$z=σx−μ​≈1.2

$\Phi(z)\approx 88.5\%$Φ(z)≈88.5%

Where

• $x = 60$x=60
• $μ = 50$μ=50
• $σ = 5$σ=5

$$z = \frac{60 – 50}{5}$$z=560−50​ $$z = 2$$z=2

Answer: Z-score = 2

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Question 8: Range

Question

Find the range of the dataset:

8, 12, 15, 20, 25

Range formula:

Maximum − Minimum

Maximum = 25
Minimum = 8$$Range = 25 – 8$$Range=25−8 $$Range = 17$$Range=17

Answer: Range = 17

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Important Topics in CUET Statistics Previous Year Questions

Based on past CUET exams, some topics appear frequently.

Important topics include:

• Probability
• Mean, median, and mode
• Variance and standard deviation
• Correlation
• Data interpretation
• Measures of dispersion

Students should focus more on these topics during preparation.

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Tips to Solve CUET Statistics Questions

Students should follow these simple tips:

Understand the Question

Read the question carefully before solving.

Identify the Topic

Determine whether the question is about probability, mean, variance, or another topic.

Use the Correct Formula

Most statistics questions require the correct formula.

Practice Regularly

Daily practice improves speed and accuracy.

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Best Way to Use Previous Year Questions

Students should use past questions as part of their study plan.

• Solve at least 10 years of previous papers
• Try solving questions without looking at solutions
• Review mistakes carefully
• Practice again after revision

This approach helps students improve their preparation.

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Why Deep Institute Helps Students Prepare for CUET

Preparing for CUET Statistics can be difficult for many students. Guidance and proper study material can make preparation easier.

Deep Institute provides:

• Structured CUET Statistics study material
• Practice questions and solved papers
• Regular mock tests
• Expert faculty guidance
• Doubt solving sessions

These resources help students prepare confidently for the CUET exam.

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Conclusion

Preparing for the CUET Statistics exam requires strong concepts and regular practice. Solving CUET Statistics previous year questions is one of the best ways to prepare for the exam.

Previous year questions help students understand the exam pattern and important topics. With regular practice and proper revision, students can improve their confidence and perform well in the CUET Statistics exam.