Question

3.2.17 e statlistics class taught unsing traditional lechure and a class taught using a "ipped classroom Complete parts (a) theough (c) below The following dala represent exam scores in a Traditional 702 699 795 67 5 865 774 565 825 798 705 64.7 692 59 770 708 633 734 776 924 794 764 833 709 916 770 764 Flipped (e) Which course has more dispersion in exam scores using the range as the measure of dispersion? The tadinal course has a range of B while the neer course has a range ofㄿ Thebdi nal corse has more diyersin Type integers or decimals. Do not round) (bj Which course has more dopersion in exam scores using the sample standard deviation as the measure of dispersion? The tadtinal course has a standard devation of 8993), while tho pped couse has a standard dervilion of 8019Thetraditional course has more dspersion (Round to three decimal places as needed )

Answer 1

Solution:-
(a) Range :

Traditional :- Range is 30

Explanation

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

56.5 59.0 64.7 67.5 69.2 69.9 70.2 70.5 77.4 79.5 79.8 82.5 86.5   

The lowest value is 56.5.

The highest value is 86.5.

The range = 86.5 - 56.5 = 30.

  

Flipped : Range = 29.1

Explanation

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

63.3 70.8 70.9 73.4 76.4 76.4 77.0 77.0 77.6 79.4 83.3 91.6 92.4   

The lowest value is 63.3.

The highest value is 92.4.

The range = 92.4 - 63.3 = 29.1.

The traditional course has a range of 30.while the flipped course has a range of 29.1.the traditional course has more dispersion.

b)

(b) Standard deviation:-

traditional course: 8.975

Flipped course : 7.998

the traditional course has a standard deviation 8.975, while the flipped course has a standard deviation of 7.998,the traditional course has more dispersion.