STATISTICS

1. Which of the following is not a measure of central tendency?

A) Mean 

B) Median 

C) Mode 

D) Standard Deviation 

 

Correct Answer: - D) Standard Deviation

Explanation:-

Mean, Median, and Mode are all used to measure central tendency.

Standard Deviation, however, is used to measure dispersion. 

2. A graphical representation of continuous data using bars is called

A. Bar Chart

B. Line graph

C. Histogram 

D. Pie chart

Correct Answer:- Histogram

3. In a dataset, if the Pearson’s correlation coefficient (r) is –0.87, what does this value indicate? 

A) A strong positive relationship

B) A strong negative relationship

C) A weak relationship

D) No relationship

Correct Answer:-

B) A strong negative relationship

Explanation:-

The value of Pearson’s r always lies between –1 and +1:

+1 indicates a perfect positive relationship

0 indicates no linear relationship

–1 indicates a perfect negative relationship

So, –0.87 means:

*As one variable increases, the other decreases significantly

*This indicates a strong negative correlation

For example:-

If the number of study hours increases and stress levels decrease, it shows a negative correlation.

4. What is an example of qualitative data?

A) Height

B) Weight

C) Blood Group

D) Income

Correct Answer:-

C) Blood Group

Explanation:-

Blood group is categorical ⇒ qualitative data.

5. The average age of 5 students is 20 years. If one more student joins, the average becomes 21 years. What is the age of the new student?

A) 25

B) 26

C) 27

D) 30

Correct Answer:- B) 26

Explanation:-

The average age of 5 students = 20 years

So, the total age of 5 students = 5 × 20 = 100 years

When one new student joins, the average = 21 years (that means total 6 students)

Total age of 6 students = 6 × 21 = 126 years

Now, the age of the new student =

Total age of 6 students − Total age of 5 students

= 126 − 100

= 26 years

6.  In a shop, 3 products have prices: ₹100, ₹200, ₹300.

A customer buys 3 items: the 1st product 2 times, the 2nd product 3 times, and the 3rd product 5 times.

What is the Weighted Average Price of the customer’s spending?

A) ₹200

B) ₹240

C) ₹230

D) ₹250

Correct Answer:- C) Rs. 230

Explanation:- 

Total Spending

1st product = ₹100 × 2 = ₹200

2nd product = ₹200 × 3 = ₹600

3rd product = ₹300 × 5 = ₹1500

total spending= 200 + 600 + 1500 = ₹2300

Total Items = 2 + 3 + 5 = 10 items

Weighted Average Price=

total spending ÷ Total Items = 2300 ÷ 10 = ₹230

7. The graphical representation of cumulative frequency is called:

a) Histogram

b) Pie Chart

c) Ogive

d) Scatter Plot

Correct Answer:- c) Ogive

8. In Regression analysis, the dependent variable is also called

a) Predictor

b) outcome

c) factor

d) independent

Correct Answer:- b) outcome

9.If a researcher conducts a survey, what type of data collection is it?

ఒక పరిశోధకుడు (researcher) సర్వే నిర్వహిస్తే, అది ఏ రకం డేటా సేకరణ (data collection) అవుతుంది?

a) Primary Data (ప్రాథమిక డేటా)

b) Secondary Data(ద్వితీయ డేటా)

c) Tertiary Data (తృతీయ డేటా)

d) Meta Data (మెటా డేటా)

Correct Answer/సరైన సమాధానం:- a) Primary Data (ప్రాథమిక డేటా)

10.