Find the mean, median, and mode of the data set. (Enter DNE for any values that do not exist.)8 4 7 4 6
Question
Find the mean, median, and mode of the data set. (Enter DNE for any values that do not exist.)8 4 7 4 6
Solution 1
To find the mean, median, and mode of the data set, follow these steps:
Mean:
- Add all the numbers in the data set: 8 + 4 + 7 + 4 + 6 = 29
- Divide the sum by the total number of data points. There are 5 data points, so: 29 / 5 = 5.8 So, the mean of the data set is 5.8
Median:
- Arrange the data points in ascending order: 4, 4, 6, 7, 8
- Since there are 5 data points, the median is the middle number, which is 6. So, the median of the data set is 6.
Mode:
- The mode is the number that appears most frequently in the data set. In this case, the number 4 appears twice, more than any other number. So, the mode of the data set is 4.
Solution 2
To find the mean, median, and mode of the data set, follow these steps:
Step 1: Arrange the data in ascending order: 4, 4, 6, 7, 8.
Step 2: Calculate the mean (average). Add all the numbers together and then divide by the number of numbers. Mean = (4 + 4 + 6 + 7 + 8) / 5 = 29 / 5 = 5.8
Step 3: Find the median (the middle number). Since there are 5 numbers, the median is the third number, which is 6.
Step 4: Determine the mode (the number that appears most frequently). In this case, the number 4 appears twice, more than any other number, so the mode is 4.
So, the mean is 5.8, the median is 6, and the mode is 4.
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