Answer:
C. Set B has the greater range.
Step-by-step explanation:
We can start out with listing out each set of data in a way that makes it easier to work with.
Set A:
20,20,30,30,40,40,40,40,40,50,50,60,60,60
Set B:
10,10,20,20,20,30,30,30,30,40,50,50,60
We can start by trying to eliminate answer options; starting with D.
To get the mean of a set of data, we need to add all numbers in the data set and then divide by the number of dots on the plot.
For Set B: 10+10+20+20+20+20+30+30+30+30+40+50+50+60=420 then divide by number of dots (14) 420/14=30 The mean of Set B is equal to 30.
Solve the mean for Set A to compare. The mean is 41. D is not true so we can eliminate this answer choice.
We can look at the median of both sets so that we can eliminate answer choice B. The median is the middle most point in the set of data.
Set A median: 40
Set B median: 30
We can eliminate B because it does not have the greater median.
On to option C: range.
To find the range of each data set, we subtract the smallest number from the biggest number.
Set A: 60-20=40
Set B: 60-10= 50
Set B does in fact have a greater range than Set A. Answer choice C is the correct option.
