Find the mean, median and mode of 8,12,5,6,13,11,14,8,10,15
To find the mean, add up all the numbers and divide by the total amount of numbers:
Mean = (8+12+5+6+13+11+14+8+10+15) / 10 = 102 / 10 = 10.2
To find the median, put the numbers in order from lowest to highest and find the middle number:
5, 6, 8, 8, 10, 11, 12, 13, 14, 15
The median is 10.
To find the mode, find the number that appears most frequently:
The mode is 8, as it appears twice in the list.
To find the mean, median, and mode of the given data set [8, 12, 5, 6, 13, 11, 14, 8, 10, 15], we can follow these steps:
Step 1: Arrange the data set in ascending order: [5, 6, 8, 8, 10, 11, 12, 13, 14, 15].
Step 2: Find the mean:
The mean is calculated by summing up all the numbers in the data set and dividing it by the number of elements.
Mean = (Sum of all numbers) / (Number of elements)
Mean = (5 + 6 + 8 + 8 + 10 + 11 + 12 + 13 + 14 + 15) / 10
Mean = 102 / 10 = 10.2
Therefore, the mean of the given data set is 10.2.
Step 3: Find the median:
The median is the middle value of the ordered data set. If there is an even number of elements, the median is the average of the two middle values.
Since there are 10 numbers in the dataset, the median will be the average of the 5th and 6th elements.
Median = (10 + 11) / 2 = 21 / 2 = 10.5
Therefore, the median of the given data set is 10.5.
Step 4: Find the mode:
The mode is the number(s) that appear(s) most frequently in the data set.
In this case, both 8 and 10 appear twice, while the other numbers appear only once. Therefore, the mode of the given data set is 8 and 10.
Therefore, the mode of the given data set is 8 and 10.
To summarize:
- The mean of the given data set is 10.2.
- The median of the given data set is 10.5.
- The mode of the given data set is 8 and 10.