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The​ box-and-whisker plot shown to the right represents the quiz scores of Mrs.​ Collins' math class. Find the range of the quiz scores.

9
12
15
18
21
24
27
30
33
36
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Part 1
The range of the quiz scores is
  
enter your response here points.
​(Type an integer or a​ decimal.)

1 answer

To find the range of the quiz scores from a box-and-whisker plot, you need to identify the minimum and maximum values represented in the plot.

  1. Identify the minimum value (the lowest score).
  2. Identify the maximum value (the highest score).
  3. Calculate the range using the formula:

\[ \text{Range} = \text{Maximum} - \text{Minimum} \]

From the score values given, the minimum value is 9 and the maximum value is 36.

Now, calculate the range:

\[ \text{Range} = 36 - 9 = 27 \]

Thus, the range of the quiz scores is 27 points.