Find the mean, median, mode, and range of the following set of numbers: 23, 25, 27, 21, 24, 27
mean: the sum of all the numbers divided by 6
median: arrange them from smallest to largest, the one in the middle is the median. If you have an even number of scores, take the average of the 2 middle numbers.
mode: the value that appears the most often. I see a pair of 27's, so .....
range: largest - smallest = ....
Where s your attempt to do this problem? It is straight cookbook.
thanks mathhelper
To find the mean, median, mode, and range of a set of numbers, follow these steps:
1. Mean: Add up all the numbers in the set and divide the sum by the total number of numbers. In this case, the set is {23, 25, 27, 21, 24, 27}.
- Add all the numbers: 23 + 25 + 27 + 21 + 24 + 27 = 147
- Divide the sum by the total number of numbers: 147 / 6 = 24.5
- The mean of the set is 24.5.
2. Median: Arrange the numbers in ascending order and find the middle number. If the set has an odd number of terms, the median is the number in the middle. If the set has an even number of terms, the median is the average of the two middle numbers.
- Arrange the numbers in ascending order: 21, 23, 24, 25, 27, 27
- Since the set has an even number of terms, we average the two middle numbers: (24 + 25) / 2 = 24.5
- The median of the set is 24.5.
3. Mode: The mode is the number(s) that appear most frequently in the set. If no number repeats, there is no mode.
- In this set, the numbers 27 appear twice, which is more frequently than any other number.
- The mode of the set is 27.
4. Range: The range is the difference between the highest and lowest numbers in the set.
- The highest number is 27, and the lowest number is 21.
- Subtract the lowest number from the highest number: 27 - 21 = 6
- The range of the set is 6.
Therefore, for the set {23, 25, 27, 21, 24, 27}, the mean is 24.5, the median is 24.5, the mode is 27, and the range is 6.