Bill's History Marks!

2. Bill's history marks are: 72, 66, 65, 73, 71, 69, 68, 72.
Find the mean, mode, median and range.
Mean:
65+66+68+69+71+72+72+73= 556/8= 69.5

Mode- 72
Median- 65, 66, 68, 69, 71, 72, 72, 73= 69+71= 140/2= 70
Range- 73-65= 8


A) If he scores 91 on the next test, which measure of central tendency will be most affected? Explain.
Mean:
65+66+68+69+71+72+72+73+91= 647/9 = 71.8
or
556+91= 71.8

Mode- 72
Median- 65, 66, 68, 69, 71, 72, 72, 73, 91= 71 is the median
Range- 91-65= 26

The most affected measure of central tendency will be the range because it got higher by 18.


B) If he scores 66 on the next test, Which measure of central tendency will be most affected? Explain.
Mean:
65, 66, 66, 68, 69, 71, 72, 72, 73= 622/9= 69.1

Mode- 66 , 72
Median- 65, 66, 66, 68, 69, 71, 72, 72, 73= 69 is the median
Range- 73-65= 8

The most affected measure of central tendency will be the mode because there are more than one mode- 66 and 72.




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