Question

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 70.8 68.8 79.4 66.9 85.9 77.1 55.6 80.6 81.5 70.9 64.0 69.6 59.5 Flipped 75.5 72.0 63.1 73.4 76.9 92.8 78.0 75.9 81.1 69.6 91.8 78.9 75.9 (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 (Type integers or decimals. Do not round.) V course has more dispersion. (b) Which course has more dispersion in exam scores using the sample standard deviation as the measure of dispersion? while the "flipped" course has a standard deviation of The V course has The traditional course has a standard deviation of more dispersion. (Round to three decimal places as needed.) (c) Suppose the score of 59.5 in the traditional course was incorrectly recorded as 595. 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 O B. The standard deviation is resistant, but the range is not resistant. C. Neither the range nor the standard deviation is resistant. O D. Both the range and the standard deviation are resistant.

Answer 1

son a) for traditional comme Highest voulez 85.9 Range 85.9 - 55.6 Lowest value 55.6 = 30.3 - 92.8 29,1 for flipped Highest roule = 92.0, howett value = 63.) Range 63.1 Thell, The traditional course has a range of 130.3 white the flipped " course has a range of 29.7. The Traditional course has more dispusione 9 b) Traditional Cowie Mean! sum of all observatione Total observation . Eni a = 93016 71.585

4. -1 16 - 8 - 01396 68 .8 -2.1946 (14-1) () - S4116 1,1536 6 : 0 8 0HM12 2. 9 59112 2 bฯ: 130 (11. 1:9 1, 8159 66 ] - H: 6 836 11-) 14 3159 5. Sl๖ฯ - 15:1996 SS : 6 Rov 6 1: 6159 SS 30 316 31 22 5, 561931 8 | 2179312 18: 3151512 0:56 861116 5] 5261512 3. ใ386311 9-9159 - 6 : 693 6 - 15 16 - 1, 9ล96 16 - 6-0 696 595 - 12:6 836 196,031551 939 (016 9 2 3 ปณ.ม. 2 3 (24 - 30 439 : 8 \ 6123 13 = 12, 293 6 0 15 standard deviation VaL 12 : 2436633 SD, 6 8:562568 N & S6 3 flipped course 2 Mean In() 5.2 13 11:32 31

-1 -1.023 2 15:5 720 631 3.32369361 20. 33 53936 202, 296514 15. 3907136 -5.3231 -14. 2231 - 3.9231 -0.4231 15.4769 73.4 76.9 92.8 01190.136 239.5344 34 78.0 15:9 0.6769 -1.4231 Repeated 69.6 3.77.69 2.423) 14.4769 1.5769 0:45819361 2.0252136/ 14.2649736 55. 1024136 209.580634 2.4866.136 2.0252)36) 775, 003078 91.8 78-9 75.9 Refeated -1.4231 Varnance 175.06307) = 64.5835898 13-1 samplestandard deviation = 64.5835898 8.0 36 391598.03 6 Thug The traditiona couse has a standard deviation of 8.503, while you "flipped couse has a standard deviation of 8036). The f. fellippled course has dispersions mote