Author Question: Draw and describe a normal curve and a frequency distribution. Determine the mean, median, mode, and ... (Read 74 times)

j.rubin · **on:** Jul 31, 2018

Draw and describe a normal curve and a frequency distribution. Determine the mean, median, mode, and standard deviation of the following sets:

a. 8, 12, 27, 27, 34, 38, 39, 41, 41, 41, 50, 53, 53, 54, 55, 55, 58, 62, 67, 70, 72, 80, 95, 250, 300

b. 56, 60, 64, 66, 68, 69, 72, 73, 74, 75, 78, 78, 79, 80, 82, 82, 83, 83, 84, 85, 85, 85, 85, 87, 87, 87, 90, 91, 92, 94, 95, 96, 97, 98, 98, 100

c. 20, 22, 29, 30, 34, 38, 40, 43, 44, 45, 45, 50, 51, 53, 55, 58, 60, 63, 63, 66, 68, 70, 74, 75, 77, 80, 85, 90, 93, 96, 100

d. 34, 35, 36, 40, 41, 50, 55, 59, 60, 61, 62, 94, 95, 96

Question 2

Which data set has the largest standard deviation? What does a larger standard deviation mean?

What will be an ideal response?

akemokai · **Reply #1 on:** Jul 31, 2018

Answer to Question 1

a. Mean = 67.28, Median = 53, Mode = 41 (Note that the extreme scores, especially 250 and 300, skew the mean noticeably.)
b. Mean = 82.17, Median = 83.5, Mode= 85
c. Mean = 58.61, Median = 58, Mode= 45, 63
d. Mean = 58.43, Median = 57, Mode= All

Answer to Question 2

Data Set 1 because it has more variability (dispersion) in scores.