Statistics Unit-I and II

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

• To collect data

• To organize and analyze data

• To generate random numbers

• To estimate population parameters

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

• Simple Random Sampling

• Stratified Sampling

• Purposive Sampling

• Cluster Sampling

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

• A population is a subset of a sample

• A sample includes all the individuals in the group

• A sample is a subset of a population

• A population is always random

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

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

• The actual data distribution of a population

• The distribution of random numbers used in sampling

• A graphical representation of the population data

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

• It can only be applied to numerical data

• It requires large amounts of data
  

• It can mislead if data is misinterpreted or manipulated

• It is only useful in experimental studies

• 9.5

• 9.2

• 8.5

• 10.0

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

• 15

• 18

• 16

• 17

• 85.0

• 87.2

• 86.4

• 88.5

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

• 8.5

• 8.0

• 7.5

• 7.2

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?

• 5

• 9

• 7

• No Mode