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\( 4,5,5,5,6,9,9,18,20 \) The range is bigger than the mode.

Ask by Bob Flynn. in the United States
Mar 09,2025

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The range is 16 and the mode is 5, so the range is bigger than the mode.

Solución

1. Determine the range of the data set. The range is calculated as the difference between the maximum and minimum values: \[ \text{Range} = 20 - 4 = 16 \] 2. Determine the mode of the data set. The mode is the number that appears most often. Here, the number \(5\) appears three times, which is more than any other number. Thus, \[ \text{Mode} = 5 \] 3. Compare the range and the mode. Since \(16 > 5\), the range is indeed bigger than the mode.

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Bonus Knowledge

In this set of numbers, the mode is the number that appears most frequently, which is 5 (since it appears three times). The range, calculated as the difference between the maximum value (20) and the minimum value (4), is 16. So here, the range (16) is indeed much larger than the mode (5), which shows how datasets can exhibit interesting relationships between their various measures of central tendency and spread! This example illustrates a key concept in statistics: the disparity between different measures can help identify the distribution of data. When the range is significantly larger than the mode, it often indicates a wider spread of values, suggesting potential outliers or a skew in the dataset. Understanding these differences can assist in better interpreting data in fields like economics or social science!

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