Question

explain how to find the range of a data set. what is an advantage of using the range as a measure of variation? what is a disadvantage?

explain how to find the range of a data set. choose the correct answer below.

a. the range is found by subtracting the minimum data entry from the maximum data entry.
b. the range is found by subtracting the first data entry from the last data entry.
c. the range is found by adding the first and last data entries.
d. the range is found by adding the minimum and maximum data entries.

what is an advantage of using the range as a measure of variation?

a. it uses all entries from the data set.
b. it uses only two entries from the data set.
c. it is easy to compute.

what is a disadvantage of using the range as a measure of variation?

a. it is hard to compute.
b. it uses all entries from the data set.
c. it uses only two entries from the data set.

Explanation:

Define range calculation

Using the Range Calculation knowledge point

$$ \text{Range} = \text{Maximum value} - \text{Minimum value} $$

This matches option A.

Identify the advantage of range

The range is a straightforward measure of variation. Its primary advantage is that it is extremely simple and easy to compute, requiring only basic subtraction of two values. This matches option C.

Identify the disadvantage of range

The range only depends on the two extreme values (the maximum and the minimum) of the dataset. It does not take into account any of the other data entries in between, making it highly sensitive to outliers. This matches option C.

Answer:

Question 1

• A. The range is found by subtracting the minimum data entry from the maximum data entry. (Correct answer)
• B. The range is found by subtracting the first data entry from the last data entry.
• C. The range is found by adding the first and last data entries.
• D. The range is found by adding the minimum and maximum data entries.

Question 2

• A. It uses all entries from the data set.
• B. It uses only two entries from the data set.
• C. It is easy to compute. (Correct answer)

Question 3

• A. It is hard to compute.
• B. It uses all entries from the data set.
• C. It uses only two entries from the data set. (Correct answer)