Question

Difficulty: EasyMeasures of Dispersion

A quality control inspector records the weight variations, in ounces, of five identical manufactured parts. The recorded weights are: 8.58.5, 4.04.0, 10.510.5, 6.06.0, and 7.57.5. What is the range of these recorded weights?

  1. A
    1.0
  2. B
    10.1
  3. 6.5Answer
  4. D
    7.5

Answer

6.5
The range of a data set is calculated by subtracting the lowest value from the highest value. In this list, the highest weight is 10.510.5 and the lowest weight is 4.04.0. Subtracting 4.04.0 from 10.510.5 yields a range of 6.56.5.

Step-by-Step Solution

1
Identify the maximum and minimum values in the given data set.
The maximum weight is 10.510.5 and the minimum weight is 4.04.0.
The range is defined as the difference between the highest and lowest values in a set of data.
2
Subtract the minimum value from the maximum value.
10.5−4.0=6.510.5 - 4.0 = 6.5
Performing the subtraction gives the statistical range of the data.

Key Concept

Measures of Dispersion
Rate this question