how to find the mean, median and spread of 10 10 11 11 11 11 12 12 12 12 13 13
To find the mean, median, and spread of the given data set {10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13}, follow these steps:
1. Mean:
To find the mean (average) of the data set, add up all the numbers and then divide by the total number of values.
Mean = (10 + 10 + 11 + 11 + 11 + 11 + 12 + 12 + 12 + 12 + 13 + 13) / 12
Mean = 138 / 12
Mean = 11.5
So, the mean of the data set is 11.5.
2. Median:
To find the median, first, arrange the data set in ascending order.
10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13
Since there are 12 values in the data set, the median will be the average of the 6th and 7th values (middle two values).
Median = (11 + 11) / 2
Median = 11
So, the median of the data set is 11.
3. Spread:
To find the spread, calculate the range of the data set. Range is the difference between the highest and lowest values in the data set.
Range = Highest value - Lowest value
Range = 13 - 10
Range = 3
So, the spread of the data set is 3.
In summary:
Mean = 11.5
Median = 11
Spread = 3