Answer:
mean = 4.57, median = 5 , mode = 5, range =7 ,
five number summary: Minimum value= 1 , First Quartile = 4, Median = 5
Third Quartile = 6, Maximum value = 8
Explanation:
First arrange the data in ascending order.
1,2,2,4,4,4,5,5,5,5,6,6,7,8
Mean = sum of all numbers / total numbers
= 1+2+2+4+4+4+5+5+5+5+6+6+7+8 / 14
= 64 / 14
= 4.57
Median:
Since the given data is even number so, we can find median by taking mean of 2 middle numbers.
so the middle numbers are 7th and 8th data i.e, 5 and 5
Median =(5+5)/2
= 5
Mode:
The most repetitive number in the data set is mode
So Mode = 5
Range:
Range can be found by subtracting smallest number from largest number in the data set.
Smallest number = 1, Largest number = 8
Range= Largest number - Smallest number
= 8-1 = 7
Five no Summary
Minimum value= 1
First Quartile ( 25 % mark )= 4
Median = 5
Third Quartile (75 % mark) = 6
Maximum value = 8
First quartile can be found by : consider the data on left of the median and find median among them
Third quartile can be found by: consider the data on right of the median and find median among them