Preparing for the CUET Statistics exam requires strong concepts and regular practice. Many students read theory but do not practice enough questions. Because of this, they find it difficult to solve problems in the exam.

The best way to prepare for the exam is by solving CUET Statistics practice questions. Practice questions help students understand how formulas work and how to apply them in different situations.

In this guide, we will cover important practice questions from statistics topics such as probability, mean, variance, correlation, and dispersion. These questions will help students improve their problem-solving skills.

---

Why Practice Questions Are Important for CUET Statistics

Statistics is a subject where practice is very important. Reading theory alone is not enough. Students must solve questions to understand the concepts clearly.

Benefits of practicing questions include:

• Better understanding of formulas
• Faster problem-solving ability
• Improved exam confidence
• Familiarity with exam patterns

Students who practice regularly often perform better in competitive exams.

---

Practice Question 1: Basic Probability

Question

A bag contains 3 red balls and 7 blue balls. One ball is chosen randomly. Find the probability that the ball is red.

Solution

Total balls = 3 + 7 = 10
Number of red balls = 3

Using the probability formula:

P(A) = \frac{n(A)}{n(S)}$$P(\text{Red}) = \frac{3}{10}$$P(Red)=103​

Answer: Probability = 0.3

---

Practice Question 2: Mean

Question

Find the mean of the numbers:

6, 8, 10, 12, 14

Solution

First add the values:

6 + 8 + 10 + 12 + 14 = 50

Number of values = 5

Mean formula:$$\bar{x} = \frac{\sum x}{n}$$xˉ=n∑x​ $$\bar{x} = \frac{50}{5}$$xˉ=550​ $$\bar{x} = 10$$xˉ=10

Answer: Mean = 10

---

Practice Question 3: Median

Question

Find the median of the dataset:

4, 7, 9, 11, 15

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

Ordered data:

4, 7, 9, 11, 15

Middle value = 9

Answer: Median = 9

---

Practice Question 4: Mode

Question

Find the mode of the dataset:

3, 5, 5, 7, 9, 5, 10

The value that appears most often is 5.

Answer: Mode = 5

---

Practice Question 5: Range

Question

Find the range of the dataset:

10, 18, 22, 30, 35

Range formula:

Maximum − Minimum

Maximum = 35
Minimum = 10$$Range = 35 – 10$$Range=35−10 $$Range = 25$$Range=25

Answer: Range = 25

---

Practice Question 6: Variance

Question

Find the variance of the dataset:

2, 4, 6, 8

Step 1: Find the 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

Calculate deviations:

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

Sum = 20

Variance:$$\frac{20}{4} = 5$$420​=5

Answer: Variance = 5

---

Practice Question 7: 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

---

Practice Question 8: Correlation

Question

If covariance between X and Y is 18, and standard deviations are 3 and 6, find the correlation coefficient.

Formula:$$r = \frac{Cov(X,Y)}{\sigma_x \sigma_y}$$r=σx​σy​Cov(X,Y)​

Substitute values:$$r = \frac{18}{3 \times 6}$$r=3×618​ $$r = 1$$r=1

Answer: Correlation coefficient = 1

---

Practice Question 9: Z-Score

Question

If mean = 60 and standard deviation = 8, find the Z-score for value 76.

$z = \frac{x – \mu}{\sigma}$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:

• $x = 76$x=76
• $μ = 60$μ=60
• $σ = 8$σ=8

$$z = \frac{76 – 60}{8}$$z=876−60​ $$z = 2$$z=2

Answer: Z-score = 2

---

Practice Question 10: Probability of Two Events

Question

If $P(A) = 0.4$P(A)=0.4 and $P(B) = 0.5$P(B)=0.5, and events are independent, find $P(A \cap B)$P(A∩B).

For independent events:$$P(A \cap B) = P(A) \times P(B)$$P(A∩B)=P(A)×P(B) $$P(A \cap B) = 0.4 \times 0.5$$P(A∩B)=0.4×0.5 $$P(A \cap B) = 0.2$$P(A∩B)=0.2

Answer: Probability = 0.2

---

Tips to Solve CUET Statistics Questions

Students should follow these simple steps while solving questions.

Read the Question Carefully

Understanding the question correctly is very important.

Identify the Topic

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

Choose the Correct Formula

Most statistics questions depend on using the right formula.

Solve Step by Step

Avoid skipping steps during calculations.

Practice Daily

Daily practice improves speed and accuracy.

---

Best Strategy to Practice Statistics Questions

Students can improve their preparation using the following methods:

• Solve previous year papers
• Practice from statistics question banks
• Attempt mock tests
• Study solved examples

Regular practice helps students become comfortable with different types of exam questions.

---

Why Deep Institute Helps Students Prepare for CUET

Preparing for the CUET exam can be challenging, especially for statistics topics. Many students need guidance to understand concepts and solve questions.

Deep Institute provides:

• Structured CUET Statistics study material
• Practice questions with solutions
• Mock tests for exam preparation
• Expert faculty guidance
• Doubt solving sessions

These resources help students prepare effectively for the exam.

---

Conclusion

Preparing for the CUET Statistics exam requires strong concepts and regular practice. Reading theory alone is not enough. Students should practice many CUET Statistics practice questions to improve their understanding.

Practice questions help students learn how formulas work and how to apply them in different problems. With regular practice and proper revision, students can perform well in the CUET Statistics exam.