Answer
Median = 2
Mode = 1 and 2
Range = 5
Step-by-step explanation
Median
The median is the variable that falls in the middle of the distribution when all the variables are arranged either in ascending or descending order.
So, to obtain the median for this, we have to arrange all the scores in data.
Arranging this data in order from least to highest,
0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5
The median will then the number at the [(N + 1)/2]th position.
N = number of variables = 12
Median is at (12 + 1)/2 = (13/2) = 6.5th
So, median will be between the 6th and 7th number.
6th number = 2
7th number = 2
Median = (2 + 2)/2 = (4/2) = 2
Mode
The mode is the variable that occurs the most frequently in the distribution.
For this distribution, we can see that two numbers each occur three times.
When a set of numbers has more than one mode (bimoddal if there are two modes), the multiple numberss that occur with equal frequency are all modes for the distribution.
IFor this distribution,
Mode = 1 and 2
They both occur three times each.
Although, it should be noted that if no number in a set occurs more than once, then the distribution has no mode.
Range
The range is the difference between the variable with the greatest value and the variable with the least value. Mathematically, that is,
Range = (Variable with the greatest value) - (Variable with the least value)
Variable with the greatest value = 5
Variable with the least value = 0
Range = 5 - 0 = 5
Hope this Helps!!!