Question

the data set represents the number of miles mary jogged each day for the past nine days. 6, 7, 5, 0, 6, 12, 8, 6, 9 what is the outlier of the data? 0 6 7 12

Explanation:

Step1: Understand Outlier Definition

An outlier is a data point that is significantly different from other data points. We analyze the given data: 6, 7, 5, 0, 6, 12, 8, 6, 9.

Step2: Compare Data Points

Most values (6, 7, 5, 6, 8, 6, 9) are between 0 - 9, but 12 is much larger than the other values. 0 is also a low value, but let's check the spread. The other non - zero values cluster around 5 - 9. 12 is far from this cluster compared to 0 (since 0 is still within a reasonable daily jogging range error or rare day, but 12 is a large jump from the main cluster of 5 - 9). Wait, actually, let's re - evaluate. The data points: 0,5,6,6,6,7,8,9,12. The interquartile range (IQR) method: First, sort the data: 0,5,6,6,6,7,8,9,12. Q1 is the median of the lower half (0,5,6,6) → median of 5 and 6 is 5.5. Q3 is the median of the upper half (7,8,9,12) → median of 8 and 9 is 8.5. IQR = Q3 - Q1 = 8.5 - 5.5 = 3. Lower bound = Q1 - 1.5IQR = 5.5 - 4.5 = 1. Upper bound = Q3+1.5IQR = 8.5 + 4.5 = 13. So 0 is below the lower bound (1), and 12 is below the upper bound (13). Wait, maybe the simple way: looking at the data, most days are between 5 - 9 miles. 0 is an outlier? But the options include 12. Wait, maybe the question considers 12 as the outlier because 0 could be a day she didn't jog, but 12 is a much higher number than the rest (the rest are 0,5,6,6,6,7,8,9). The numbers 5 - 9 are close, 0 is a low, 12 is a high. But among the options, 12 is the most extreme high, and 0 is extreme low. But let's check the options. The options are 0,6,7,12. 6 is a common number (mode), 7 is in the middle. So between 0 and 12. If we think about daily jogging, 0 is possible (no jog), 12 is a lot more than the others (the others max at 9). So 12 is the outlier here as it's a significant deviation from the main group of 5 - 9.

Answer:

12 (the option is 12, so the answer is the option with 12, i.e., the option labeled with 12. Assuming the options are: 0, 6, 7, 12, the correct one is 12. So in the format for multiple - choice: 12 (the option corresponding to 12, e.g., if the options are A. 0, B. 6, C. 7, D. 12, then D. 12)