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less than Q1-1.5 × IQROR greater than Q3 + 1.5 × IQR]. Question 3: (20 marks) (a

ID: 3360187 • Letter: L

Question

less than Q1-1.5 × IQROR greater than Q3 + 1.5 × IQR]. Question 3: (20 marks) (a) Define statistics. List down the four steps in the statistical process. (b) Dist inguish between descriptive statistics and inferential statistics. Give examples for each. Answer the following questions. 1. Based on a random sample of 500 registered voters, a researcher estimates that 47% of all (c) registered voters favour stronger restrictions on smoking in public places. State whether this is an example of descriptive or inferential statistics. 2. A meteorologist calculates the average daily precipitation in Male' city during the year 2016. State whether this is an example of descriptive or inferential statistics. 3. Is a person's political affiliation an example of a qualitative or a quantitative variable? 4. Is the speed of a car in miles per hour an example of a qualitative or a quantitative variable? 5. The number of cars passing a busy intersection between 4:30 P.M. on a Monday is 220. Is this data discrete or continuous? 6. A study discusses the height of mountains in a certain country. Is this an example of discrete data or continuous data? 7. Attitude towards life (optimistic, pessimistic, etc.), is this data nominal or ordinal? 8. Type of car, is this data nominal or ordinal? The Mldives National Usive 12

Explanation / Answer

Part a

Statistics is defined as the branch of science which deals with the study of collection of data, classification of data, analysis of data and interpretation of data.

Four steps in statistical process are given as below:

1

Collection of data

2

Classification or organization of data

3

Analysis of data by using different tools and techniques of statistical analysis

4

Interpretation of data

Part b

In descriptive statistics we are only dealing with the value of statistical function, however in inferential statistics we infer about the population parameter by using sample statistic. Descriptive statistics only describe the data, however inferential statistics infer about population by using sample function. In descriptive statistics, we are organize, analyze and present data in a meaningful way while in inferential statistics, we use comparisons, tests, intervals, etc., and predict the data.

Examples of descriptive statistics are mean, mode, median, standard deviation, minimum, maximum, range, quartiles, coefficient of skewness, etc.

Examples of inferential statistics are tests of hypothesis, confidence intervals, any estimate about population based on sample, etc.

Part c.1

This is an example inferential statistics. Given estimate infer about population.

Part c.2

This is an example of descriptive statistics. Average describes the data for daily precipitation.

Part c.3

This is a qualitative variable. (Political affiliation is a nominal scaled qualitative variable.)

Part c.4

This is a quantitative variable. (Speed of car is a ratio scaled quantitative variable.)

Part c.5

It is a discrete data.

Part c.6

It is a continuous data.

Part c.7

It is nominal data.

Part c.8

It is a nominal data.