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Statistics Unit-I and II

Total questions: 15

Worksheet time: 24mins

Name
Class
Date
1.
  1. 1. Which of the following best describes the primary purpose of statistics?

a)

To collect data

b)

To organize and analyze data

c)

To generate random numbers

d)

To estimate population parameters

2.

2. Which sampling method involves selecting individuals based on specific characteristics or criteria set by the researcher?

a)

Simple Random Sampling

b)

Stratified Sampling

c)

Purposive Sampling

d)

Cluster Sampling

3.

3. What is the key difference between a population and a sample in statistics?

a)

A population is a subset of a sample

b)

A sample includes all the individuals in the group

c)

A sample is a subset of a population

d)

A population is always random

4.

4. What does the term “sampling distribution” refer to in statistics?

a)

A distribution of all possible values of a sample statistic from multiple samples

b)

The actual data distribution of a population

c)

The distribution of random numbers used in sampling

d)

A graphical representation of the population data

5.

5. Which of the following is a limitation of using statistics in research?

a)

It can only be applied to numerical data

b)

It requires large amounts of data

c)

It can mislead if data is misinterpreted or manipulated

d)

It is only useful in experimental studies

6.

a)

9.5

b)

9.2

c)

8.5

d)

10.0

7.
  1. 7. A group of 5 students has the following test scores: 12, 15, 18, 20, and 25. What is the median of these scores?

a)

15

b)

18

c)

16

d)

17

8.
a)

85.0

b)

87.2

c)

86.4

d)

88.5

9.

9. A data set has the following values: 5, 7, 9, 11, and 13. What is the harmonic mean of this data set?

a)

8.5

b)

8.0

c)

7.5

d)

7.2

10.

10. The following data represents the number of hours spent on studying by 8 students:

3, 5, 7, 9, 10, 12, 14, 15

What is the mode of this data set?

a)

5

b)

9

c)

7

d)

No Mode

11.

11. What is the primary purpose of using a control group in an experiment?

a)

To increase the sample size

b)

To ensure random sampling

c)

To compare against the experimental group

d)

To eliminate bias in data collection

12.

12. Which of the following measures of central tendency is most affected by extreme values?

a)

Range

b)

Mean

c)

Mode

d)

Median

13.

13. What is the purpose of using stratified sampling in research?

a)

To eliminate the need for randomization

b)

To select individuals based on convenience

c)

To divide the population into subgroups and sample from each

d)

To ensure every individual has an equal chance of being selected

14.

14. Which of the following is a common method for visualizing the distribution of a dataset?

a)

Bar Chart

b)

Pie Chart

c)

Histogram

d)

Line Graph

15.

15. What is the purpose of using random sampling in research?

a)

To ensure every individual has an equal chance of being selected

b)

To focus on a specific subgroup of the population

c)

To increase the complexity of the study

d)

To eliminate the need for a control group