Question

Traditional   Flipped
70.7    75.8
68.6    71.4
80.2    64.3
68.3    72.2
86.1 77.0
77.9    92.8
55.8    78.4
80.4    76.2
80.1 83.2
71.2 69.3
64.3    91.4
68.8    78.2
59.8    76.9

​(b) Which course has more dispersion in exam scores using the sample standard deviation as the measure of​ dispersion?

The traditional course has a standard deviation of …..?

while the​ "flipped" course has a standard deviation of …..?

The...…………. course has more dispersion. (Round to three decimal places as​ needed.)

​(c) Suppose the score of 59.3 in the traditional course was incorrectly recorded as 593.

How does this affect the​ range? The range is now …………….?

​(Type an integer or a decimal. Do not​ round.)

How does this affect the standard​ deviation? The standard deviation is now …………?

​(Round to three decimal places as​ needed.)

What property does this​ illustrate?

A.

The range is​ resistant, but the standard deviation is not resistant.

B.

Both the range and the standard deviation are resistant.

C.

Neither the range nor the standard deviation is resistant.

Your answer is correct.

D.

The standard deviation is​ resistant, but the range is not resistant.

Answer 1

The traditional course has a standard deviation of 8.871 while the​ "flipped" course has a standard deviation of 8.026.

The...…traditional………. course has more dispersion.

​Note: The c part is (c) Suppose the score of 59.3 in the traditional course was incorrectly recorded as 593.

But there is no value in the data set equal to 59.3, please check the values and talk to your professor if there is a mistake then we would need to change the part B as well.

You can also answer this easily:

1. Use the formula =STDEV(B2:B14) in Excel for Standard Deviation

2. Use the formula =MAX(B2:B14)- MIN(B2:B14) to find the range.

The answer to “What property does this​ illustrate?” is:

C.

Neither the range nor the standard deviation is resistant.

Because it satisfies any data set.

Please check and confirm.