Question

A home improvement store kept track of the number of gallons of paint it sold each day in a week.
15 20 18 22 22 28 29


Calculate the mean, median, range, and midrange of the number of gallons sold in a week.

Answers

GPT-4o mini
To calculate the mean, median, range, and midrange of the gallon sales data, let's first organize the data:

The gallons of paint sold each day are:
15, 20, 18, 22, 22, 28, 29

### 1. Mean
The mean is calculated by summing all the values and dividing by the number of values.

\[
\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} = \frac{15 + 20 + 18 + 22 + 22 + 28 + 29}{7} = \frac{ 15 + 20 + 18 + 22 + 22 + 28 + 29 }{ 7 }
\]

Calculating the sum:
\[
15 + 20 + 18 + 22 + 22 + 28 + 29 = 154
\]

Now divide by the number of days (7):
\[
\text{Mean} = \frac{154}{7} = 22
\]

### 2. Median
The median is the middle number when the values are arranged in order. First, let's arrange the data:
15, 18, 20, 22, 22, 28, 29

The number of values is odd (7), so the median is the value at the 4th position:
\[
\text{Median} = 22
\]

### 3. Range
The range is calculated by subtracting the smallest value from the largest value.

\[
\text{Range} = \text{Maximum} - \text{Minimum} = 29 - 15 = 14
\]

### 4. Midrange
The midrange is calculated by taking the average of the maximum and minimum values.

\[
\text{Midrange} = \frac{\text{Maximum} + \text{Minimum}}{2} = \frac{29 + 15}{2} = \frac{44}{2} = 22
\]

### Summary
- Mean: 22
- Median: 22
- Range: 14
- Midrange: 22

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