To analyze the data set 7, 5, 6, 4, 7, 8, 12, let’s first calculate some key statistics: the mean, median, mode, and range.
Mean: To find the mean, add all the numbers together and divide by the count of numbers.
- Mean = (7 + 5 + 6 + 4 + 7 + 8 + 12) / 7 = 49 / 7 = 7
Median: The median is the middle value when the numbers are sorted. First, sort the data set: 4, 5, 6, 7, 7, 8, 12. The middle value is the fourth number, which is 7.
Mode: The mode is the number that appears most frequently. In this case, both 7 appears twice, making it the mode.
Range: The range is the difference between the highest and lowest values. Here, it is 12 – 4 = 8.
Based on these calculations, we can conclude that:
- The mean is 7,
- The median is 7,
- The mode is 7,
- The range is 8.
Thus, any statement claiming that the mean, median, or mode is 7 would be true for this data set. Furthermore, the data set is unimodal and ranges across 8 units.