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Question 4: Complete the following statements by using the given words below. (10 marks)

Given words:

• mean
• mode
• normal distribution
• median
• variance
• outlier
• range
• relative frequency
• skewed
• random variable
• standard deviation
• histogram
• probability distribution
• inferential statistics
• descriptive statistics

1. In a sample of 500 female staff in a company, 300 or 60% are married. The 60% is an example of ____________.

2. The ____________ is the measure of central location that is the most likely to be influenced by extreme values in the data set.

3. The measure of variability that is influenced least by extreme values in the data set is called the ____________.

4. The scale of measurement that is used to rank order the observations for a variable is called the ____________ scale.

5. A ____________ distribution is a table summary of data showing the number of items in each of several non-overlapping classes.

6. A random variable is a numerical description of the ____________ of an experiment.

7. A measure of variability equal to the square of the standard deviation is called the ____________.

8. The measure of location that is most likely to be affected by skewed data is the ____________.

9. The two broad areas of statistics are ____________ and ____________.

10. The ____________ method provides information for making decisions based on the assumption of equally likely outcomes.

Answers:

1. Relative frequency
2. Mean
3. Range
4. Ordinal
5. Histogram
6. Probability distribution
7. Variance
8. Mean
9. Descriptive statistics and Inferential statistics
10. Probability

Would you like further explanations on any of these? Let me know if you'd like more details or have any questions!

Here are some related questions for practice:

1. What are the differences between mean, median, and mode?
2. How does skewness affect the distribution of data?
3. What is the importance of variance in data analysis?
4. How are histograms useful in data representation?
5. How can we differentiate between descriptive and inferential statistics?

Tip: Always analyze the shape of the data distribution before applying statistical measures like mean or standard deviation to understand its nature.