1. The problem is to analyze the given data set: 548, 612, 502, 447, 471, 138, 401, 526, 623, 419, 419, 476, 513, 846. 2. We can calculate some basic statistics such as the mean (average), median, and range to understand the data better. 3. The mean is calculated by summing all values and dividing by the number of values: $$\text{mean} = \frac{548 + 612 + 502 + 447 + 471 + 138 + 401 + 526 + 623 + 419 + 419 + 476 + 513 + 846}{14}$$ 4. Calculate the sum: $$548 + 612 + 502 + 447 + 471 + 138 + 401 + 526 + 623 + 419 + 419 + 476 + 513 + 846 = 6919$$ 5. Divide by 14: $$\text{mean} = \frac{6919}{14} \approx 494.21$$ 6. To find the median, first sort the data: $$138, 401, 419, 419, 447, 471, 476, 502, 513, 526, 548, 612, 623, 846$$ 7. Since there are 14 values (even number), the median is the average of the 7th and 8th values: $$\text{median} = \frac{476 + 502}{2} = \frac{978}{2} = 489$$ 8. The range is the difference between the maximum and minimum values: $$\text{range} = 846 - 138 = 708$$ 9. Summary: - Mean: approximately 494.21 - Median: 489 - Range: 708 These statistics help describe the central tendency and spread of the data.