Answer:
AI-generated answer
To find the mean, median, range, and midrange of the given data set: 27, 32, 27, 35, 35, 25, 28, 35, 33, 24, we can follow these steps:
1. Mean: The mean is the average of all the numbers in the data set. To find it, we add up all the numbers and divide the sum by the total count.
27 + 32 + 27 + 35 + 35 + 25 + 28 + 35 + 33 + 24 = 311
To find the mean, we divide the sum by the count:
Mean = 311 / 10 = 31.1
So, the mean of the given data set is 31.1.
2. Median: The median is the middle value in a sorted list of numbers. To find it, we first arrange the numbers in ascending order.
24, 25, 27, 27, 28, 32, 33, 35, 35, 35
Since there are 10 numbers in the data set, the median will be the average of the two middle numbers, which in this case are 28 and 32.
Median = (28 + 32) / 2 = 30
So, the median of the given data set is 30.
3. Range: The range is the difference between the largest and smallest numbers in the data set. To find it, we subtract the smallest number from the largest number.
Range = largest number - smallest number
Range = 35 - 24 = 11
So, the range of the given data set is 11.
4. Midrange: The midrange is the average of the smallest and largest numbers in the data set. To find it, we add the smallest and largest numbers and divide the sum by 2.
Midrange = (smallest number + largest number) / 2
Midrange = (24 + 35) / 2 = 59 / 2 = 29.5
So, the midrange of the given data set is 29.5.
In summary:
- The mean is 31.1
- The median is 30
- The range is 11
- The midrange is 29.5
Explanation:
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