Question

(20, 15, 15, 4)
put the data set in order from least to greatest
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maximum: ____
minimum: ____
range: ____
mode: ____
mean: ____
median: ____

Explanation:

Step1: Order the data set

Arrange the numbers \(20, 15, 15, 4\) from least to greatest. The smallest number is \(4\), then \(15\) (appears twice), then \(20\). So the ordered set is \((4, 15, 15, 20)\).

Step2: Find the Maximum

The maximum value in the ordered set \((4, 15, 15, 20)\) is the largest number, which is \(20\).

Step3: Find the Minimum

The minimum value is the smallest number in the set, which is \(4\).

Step4: Calculate the Range

Range is calculated as Maximum - Minimum. So \(20 - 4 = 16\).

Step5: Find the Mode

The mode is the number that appears most frequently. Here, \(15\) appears twice, and the other numbers appear once, so the mode is \(15\).

Step6: Calculate the Mean

Mean is the sum of all numbers divided by the count of numbers. The sum is \(4 + 15 + 15 + 20 = 54\), and there are \(4\) numbers. So the mean is \(\frac{54}{4} = 13.5\).

Step7: Calculate the Median

For a data set with an even number of values, the median is the average of the two middle numbers. The two middle numbers are \(15\) and \(15\). So the median is \(\frac{15 + 15}{2} = 15\).

Answer:

Ordered data set: \((4, 15, 15, 20)\)
Maximum: \(20\)
Minimum: \(4\)
Range: \(16\)
Mode: \(15\)
Mean: \(13.5\)
Median: \(15\)