Answer:
C. The measures of variation make sense because the data is numeric, so the spread between the values is meaningful.
Step-by-step explanation:
Categories X x-x` (x-x`)²
1 5 0 0
2 10 5 25
3 4 -1 1
4 1 -4 16
∑x= 20 ∑x-x` =0 ∑ (x-x`)²=42
Yes the range for these values can be obtained as range gives the idea of the spread of the values and is simply the difference between the largest and smallest value . The range of this data is 10-1= 9
The standard deviation is given by √∑(x-x`)²/n
where x` is the mean and is calculated as = 20/4=5
and n is the number of observations
S.D= √42/4 =√10.5= 3.24
And Variance is 10.5