Question

In: Statistics and Probability

The following data represent exam scores in a statistics class taught using traditional lecture and a...

The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a​ "flipped" classroom. Complete parts​ (a) through​ (c) below.

Traditional

71.071.0

69.969.9

80.580.5

67.567.5

84.384.3

77.677.6

57.057.0

82.582.5

81.281.2

70.970.9

64.364.3

70.370.3

60.160.1

Flipped

76.776.7

71.771.7

64.064.0

72.672.6

77.577.5

90.990.9

79.879.8

77.277.2

81.681.6

69.269.2

92.592.5

77.777.7

75.775.7

​(a) Which course has more dispersion in exam scores using the range as the measure of​ dispersion?

The traditional course has a range of ,while the​ "flipped" course has a range of    The course has more dispersion.

​(Type integers or decimals. Do not​ round.)

​(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 in the traditional course was incorrectly recorded as .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. Both the range and the standard deviation are resistant.

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

C. Neither the range nor the standard deviation is resistant.

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

Solutions

Expert Solution

We are calculating Range and standard deviation using Excel and the function for the same are shown in the attached photoa)The traditional course has a range of 27.3273 ,while the​ "flipped" course has a range of 28.5285 . The Flipped course has more dispersion.

b)The traditional course has a standard deviation of 8.695 ,while the​"flipped" course has a standard deviation of 7.858 .The traditional course has more dispersion.

c) This part is incomplete as the values are not given.When you get the values,simply change those value in excel and use the same function as in part a) and b) and you will get the desired result.

orchestra answered 1 year ago
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