What is the mean of the range, median and mode of the data:
2, 3, 1, 1, 3, 4, 2, 1, 1, 4, 5, 2, 4, 2, 2, 1, 3, 3, 2, 5
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 
.
Data set = 2, 3, 1, 1, 3, 4, 2, 1, 1, 4, 5, 2, 4, 2, 2, 1, 3, 3, 2, 5
We have to arrange them in the ascending order -
1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5
Average = Sum of all observations/Total observations
Median = Middle value = Average of 2 and 2 = (2 + 2)/2 = 2
Mode = Highest frequency number = 2
Range = Highest value - least value = 5 - 1= 4
Average = (2 + 2 + 4)/3 = 8/3 = 2 2/3