Question

(24, 21, 23, 21)
put the data set in order from least to greatest
(___,_,_,___)

maximum: _____
minimum: _____
range: _____
mode: _____
mean: _____
median: _____

Explanation:

Step1: Order the data set

First, we arrange the numbers \(24, 21, 23, 21\) from least to greatest. Comparing the numbers, we have \(21, 21, 23, 24\).

Step2: Find the Maximum

The maximum value in a data set is the largest number. From the ordered set \((21, 21, 23, 24)\), the largest number is \(24\).

Step3: Find the Minimum

The minimum value is the smallest number. From the ordered set, the smallest number is \(21\).

Step4: Calculate the Range

The range is calculated as \( \text{Range}=\text{Maximum}-\text{Minimum} \). Substituting the values, we get \(24 - 21=3\).

Step5: Determine the Mode

The mode is the number that appears most frequently. In the set \((21, 21, 23, 24)\), \(21\) appears twice, while \(23\) and \(24\) appear once. So the mode is \(21\).

Step6: Calculate the Mean

The mean is calculated as \( \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}} \). The sum of the values is \(21 + 21+ 23 + 24 = 89\), and the number of values is \(4\). So the mean is \( \frac{89}{4}=22.25 \).

Step7: Find the Median

For a data set with an even number of values, the median is the average of the two middle numbers. The ordered set is \((21, 21, 23, 24)\), the two middle numbers are \(21\) and \(23\). The median is \( \frac{21 + 23}{2}=\frac{44}{2}=22 \).

Answer:

Ordered data set: \((21, 21, 23, 24)\)
Maximum: \(24\)
Minimum: \(21\)
Range: \(3\)
Mode: \(21\)
Mean: \(22.25\)
Median: \(22\)