The correct answers are:
16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Explanation:
16) To find the mean, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.
Next we divide this sum by the number of data points, 24:
246/24 = 10.25.
The median is the middle point of a data set. Since there are 24 points, this will be between two values. These two values are 10 and 10; the median is 10.
The range is found by subtracting the highest and lowest values:
22-5 = 17.
17) The mean is changed; the sum of the data values is 246. Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The median does not change; it is still 10.
The range changes; the highest value is now 15, and the lowest is 5: 15-5=10. The range is changed the most.
18) The mean is affected by the outlier and the median is not, so we use the median. This means the answer is 10.
19) The expression for the total number of cars sold is found by adding together all of the points.
