To find the mean, median, mode, and range of a set of numbers, you can follow these steps:
Step 1: Arrange the numbers in ascending order:
4, 10, 11, 16, 16, 17, 24
Step 2: Mean Calculation:
Mean is the average of all the numbers. To calculate the mean, add up all the numbers and divide by the total count.
Mean = (4 + 10 + 11 + 16 + 16 + 17 + 24) / 7
Step 3: Median Calculation:
Median is the middle value of the set when arranged in ascending order. In case there are two middle numbers, take their average.
Median = 16
Step 4: Mode Calculation:
Mode refers to the number(s) that appear most frequently. If there is no number that appears more than once, the set is said to have no mode.
Mode = 16
Step 5: Range Calculation:
Range is the difference between the highest and lowest values in the set.
Range = Highest Value - Lowest Value
Range = 24 - 4
Now, following the above steps, we get:
Mean = (4 + 10 + 11 + 16 + 16 + 17 + 24) / 7 = 98 / 7 = 14
Median = 16
Mode = 16
Range = 24 - 4 = 20
So, the mean is 14, the median is 16, the mode is 16, and the range is 20.