Question

Difficulty: EasyMeasures of Dispersion

The test scores of six students in a mathematics quiz are 1212, 1818, 2525, 3131, 4747, and 5050. What is the range of these scores?

  1. 3838Answer
  2. B
    5050
  3. C
    30.530.5
  4. D
    2828

Answer

The range of the scores is 3838.
The range is a measure of dispersion defined as the difference between the maximum value (5050) and the minimum value (1212). Subtracting 1212 from 5050 gives 3838.

Step-by-Step Solution

1
Identify the maximum and minimum values in the dataset.
Maximum score = 5050, Minimum score = 1212.
Range measures the spread between the highest and lowest values in a distribution.
2
Calculate the range using the formula Range=MaximumMinimum\text{Range} = \text{Maximum} - \text{Minimum}.
Range=5012=38\text{Range} = 50 - 12 = 38.
Subtracting the minimum value from the maximum value yields the measure of dispersion known as range.

Key Concept

Range of a Dataset
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