Find the mean, median, and mode. Round to the nearest tenth when necessary.
1) Given these board lengths: 20.2, 1.2, 5, 5.8, 16, 20.2, 5, 1.2, 20.2, 20.2
I told you how to find the mean.
To find the median, arrange the numbers in order. The median is the middle number.
The mode is the number that appears most often.
To find the mean, median, and mode of the given board lengths, follow these steps:
1) Mean:
- Add up all the given values: 20.2 + 1.2 + 5 + 5.8 + 16 + 20.2 + 5 + 1.2 + 20.2 + 20.2 = 115
- Count how many values are given: 10
- Divide the sum by the count: 115 / 10 = 11.5
- The mean of the board lengths is 11.5.
2) Median:
- Arrange the values in ascending order: 1.2, 1.2, 5, 5, 5.8, 16, 20.2, 20.2, 20.2, 20.2
- Identify the middle value(s) in the list.
- Since there are 10 values, the median will be the average of the 5th and 6th values: (5.8 + 16) / 2 = 10.9
- The median of the board lengths is 10.9.
3) Mode:
- The mode is the value(s) that appear most frequently in the list.
- In this case, the value 20.2 appears most frequently (4 times), making it the mode.
- The mode of the board lengths is 20.2.
So, the mean is 11.5, the median is 10.9, and the mode is 20.2.