Question

he 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	71.471.4	69.169.1	80.480.4	68.368.3	85.385.3	79.379.3	56.656.6
	81.681.6	80.180.1	71.571.5	63.163.1	69.169.1	59.959.9
Flipped	77.077.0	70.970.9	62.662.6	71.471.4	77.577.5	91.891.8	79.979.9
	77.277.2	81.681.6	69.269.2	92.692.6	77.877.8	76.476.4

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

The traditional course has a range of

28.728.7​,

while the​ "flipped" course has a range of

3030.

The

flipped

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

nothing​,

while the​ "flipped" course has a standard deviation of

nothing.

The

traditional

course has more dispersion.

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

Answer 1

b) The traditional course has an average = (71.4 + 69.1 + 80.4 + 68.3 + 85.3 + 79.3 + 56.6 + 81.6 + 80.1 + 71.5 + 63.1 + 69.1 + 59.9)/13 = 71.977

The traditional course has a standard deviation = sqrt(((71.4 - 71.977)^2 + (69.1 - 71.977)^2 + (80.4 - 71.977)^2 + (68.3 - 71.977)^2 + (85.3 - 71.977)^2 + (79.3 - 71.977)^2 + (56.6 - 71.977)^2 + (81.6 - 71.977)^2 + (80.1 - 71.977)^2 + (71.5 - 71.977)^2 + (63.1 - 71.977)^2 + (69.1 - 71.977)^2 + (59.9 - 71.977)^2)/12) = 8.909

The flipped course has an average = (77 + 70.9 + 62.6 + 71.4 + 77.5 + 91.8 + 79.9 + 77.2 + 81.6 + 69.2 + 92.6 + 77.8 + 76.4)/13 = 77.377

The flipped course has a standard deviation = sqrt(((77 - 77.377)^2 + (70.9 - 77.377)^2 + (62.6 - 77.377)^2 + (71.4 - 77.377)^2 + (77.5 - 77.377)^2 + (91.8 - 77.377)^2 + (79.9 - 77.377)^2 + (77.2 - 77.377)^2 + (81.6 - 77.377)^2 + (69.2 - 77.377)^2 + (92.6 - 77.377)^2 + (77.8 - 77.377)^2 + (76.4 - 77.377)^2)/12) = 8.308

The traditional course has more dispersion.