To calculate the mean, median, range, and midrange of Devi's bus ride times, we first need to summarize her data:
Bus ride times (in minutes): 24, 32, 25, 24, 30, 30, 24.
1. Mean:
The mean is calculated by adding all the ride times together and then dividing by the number of ride times.
\[ \text{Mean} = \frac{\text{Sum of ride times}}{\text{Number of ride times}} \]
Sum of the ride times:
\[ 24 + 32 + 25 + 24 + 30 + 30 + 24 = 24 + 32 + 25 + 24 + 30 + 30 + 24 = 189 \]
Number of ride times = 7.
Now, calculate the mean:
\[ \text{Mean} = \frac{189}{7} \approx 27 \]
2. Median:
The median is the middle number when the data set is ordered from least to greatest.
Ordering the data:
24, 24, 24, 25, 30, 30, 32
Since there are 7 data points (an odd number), the median is the 4th number in the ordered list:
\[ \text{Median} = 25 \]
3. Range:
The range is the difference between the maximum and minimum values in the data set.
Maximum value = 32
Minimum value = 24
\[ \text{Range} = \text{Maximum} - \text{Minimum} = 32 - 24 = 8 \]
4. Midrange:
The midrange is the average of the maximum and minimum values.
\[ \text{Midrange} = \frac{\text{Maximum} + \text{Minimum}}{2} = \frac{32 + 24}{2} = \frac{56}{2} = 28 \]
Summary:
- Mean: 27
- Median: 25
- Range: 8
- Midrange: 28
So, for Devi's bus ride times for the week, the mean is 27 minutes, the median is 25 minutes, the range is 8 minutes, and the midrange is 28 minutes.
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