Answer :
Final answer:
The midrange of the given data set is 5.1, which is found by adding the smallest number (2.4) and the largest number (7.8) in the set and then dividing by two.
Explanation:
To find the midrange of a given data set, you start by identifying the smallest and the largest numbers in the set. The midrange is then calculated by adding the smallest and largest numbers together and dividing by two. This statistic gives you a measure of the central tendency that is different from the mean, median, or mode.
The provided data set consists of the following numbers: 2.4, 6.2, 7.8, 3.3, 6.2, 6.2, 3.4, 7.4, 4.4, 2.9, 2.9. First, we order the data from least to greatest, which is not explicitly provided in the question but is a necessary step for finding both the median and midrange. After ordering, we identify the smallest value (2.4) and the largest value (7.8).
To calculate the midrange, apply the following formula:
- Midrange = (Smallest value + Largest value) / 2
Inserting the identified values into the formula gives:
- Midrange = (2.4 + 7.8) / 2 = 10.2 / 2 = 5.1
Therefore, the midrange of the data set is 5.1.
