Santos takes the train into the city five days a week for work. For one work week, he kept track of how many minutes long each train ride was:

Question

48 51 48 50

Calculate the mean, median, range, and midrange of the train ride times for the week.

Answer 1

To calculate the mean, median, range, and midrange of Santos's train ride times, we will start by organizing the data he collected:

• Train ride times in minutes: 48, 51, 48, 50

1. Mean

The mean is calculated by adding all the values together and then dividing by the number of values.

\[ \text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{48 + 51 + 48 + 50}{4} \] \[ \text{Mean} = \frac{197}{4} = 49.25 \]

2. Median

To find the median, we first need to arrange the data in ascending order:

• Ordered data: 48, 48, 50, 51

Since there is an even number of values (4), the median will be the average of the two middle numbers.

\[ \text{Median} = \frac{48 + 50}{2} = \frac{98}{2} = 49 \]

3. Range

The range is found by subtracting the smallest value from the largest value.

\[ \text{Range} = \text{Maximum} - \text{Minimum} = 51 - 48 = 3 \]

4. Midrange

The midrange is calculated by averaging the maximum and minimum values.

\[ \text{Midrange} = \frac{\text{Maximum} + \text{Minimum}}{2} = \frac{51 + 48}{2} = \frac{99}{2} = 49.5 \]

Summary

• Mean: 49.25
• Median: 49
• Range: 3
• Midrange: 49.5

Thus, the statistical measures are as follows:

• Mean: 49.25
• Median: 49
• Range: 3
• Midrange: 49.5