Answer:
range ⇒ answer D
Step-by-step explanation:
* Lets explain how to solve the problem
- Outlier an extreme value in a set of data which is much higher or
lower than the other numbers
- Outliers affect the mean value of the data but have little effect on the
median or mode of a given set of data
* Lets solve the problem
∵ The data are 10 , 12 , 13 , 14 , 15 , 16 , 42
∵ The median is the middle number of the set of data
∵ The middle number is 14
∴ The median is 14
- If we remove the outlier then:
∴ The median will be the average of the two middle numbers 13 , 14
∴ The median = (13 + 14)/2 = 13.5
∵ The mean is the average, where you add all the numbers and then
divide the sum by the number of numbers
∵ The sum = 10 + 12 + 13 + 14 + 15 + 16 + 42 = 122
∵ They are 7 numbers
∴ The mean = 122/7 = 17.43
- If we remove the outlier then:
∴ The sum = 122 - 42 = 80
∴ The mean = 80/7 = 11.43
∵ The range is the difference between the greatest and the
smallest values of the data set
∵ The greatest value is 42 and the smallest value is 10
∴ The range = 42 - 10 = 32
- If we remove the outlier then:
∴ The range = 16 - 10 = 6
* The range is the most affected by the outlier
