Final answer:
The correct statistical measures for the set 2, 4, 6, 7, 7, 8, 14 are the mean of 6.9, the median of 7, the mode of 7, and the midrange of 8.
Step-by-step explanation:
To determine the correct statistical measures for the set 2, 4, 6, 7, 7, 8, 14, we need to calculate the mean, median, mode, and midrange. First, we find the mean by adding all the numbers together and dividing by the total number of values in the set. So, the mean is (2 + 4 + 6 + 7 + 7 + 8 + 14) / 7 = 48 / 7 = 6.8571 (rounded to 6.9).
The median is the middle value when the numbers are arranged in order. Since there are 7 numbers, the median is the fourth number, which is 7 in this set.
The mode is the number that appears most frequently. In this set, the number 7 appears twice, making it the mode.
To find the midrange, we take the average of the smallest and largest numbers. The midrange is (2 + 14) / 2 = 16 / 2 = 8.
Therefore, the correct statistical measures are:
- The mean is 6.9,
- The median is 7,
- The mode(s) is/are 7, and
- The midrange is 8.