Data Collection and Representation

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Q1. What is the range of the data set: 10, 15, 20, 25, 30?

Solution:

Range = max - min = 30 - 10 = 20

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Q2. In a data set, the mode is defined as what?

Solution:

The mode is the value that appears most frequently in a data set.

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Q3. If the probability of an event is 0.2, what is the probability of the event not occurring?

Solution:

P(not occurring) = 1 - P(occurring) = 1 - 0.2 = 0.8

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Q4. Which of the following is NOT a measure of dispersion?

Solution:

Mean is a measure of central tendency, not dispersion.

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Q5. If a data set has a mean of 10 and a standard deviation of 2, what is the z-score of a value 12?

Solution:

Z-score = (X - mean) / standard deviation = (12 - 10) / 2 = 1.

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Q6. How many ways can you choose 3 items from a set of 5?

Solution:

The number of ways to choose 3 items from 5 is calculated using combinations: C(5,3) = 5! / (3!(5-3)!) = 10.