Information about the age of participants in a robotics competition is below:The middle 50% of the data is between what two numbers? (3 points)16 and 3313 and 3111 and 3311 and 16
Question
Information about the age of participants in a robotics competition is below:The middle 50% of the data is between what two numbers? (3 points)16 and 3313 and 3111 and 3311 and 16
Solution
To determine the middle 50% of the data, we need to identify the interquartile range (IQR). The IQR is the range between the first quartile (Q1) and the third quartile (Q3).
Given the options:
- 16 and 33
- 13 and 31
- 11 and 33
- 11 and 16
The correct answer is the range that represents the middle 50% of the data.
Let's analyze the options:
- 16 and 33: This range is quite wide and may not represent the middle 50%.
- 13 and 31: This range is narrower and more likely to represent the middle 50%.
- 11 and 33: This range is also quite wide.
- 11 and 16: This range is too narrow and unlikely to represent the middle 50%.
Therefore, the middle 50% of the data is between 13 and 31.
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