Draw and describe a normal curve and a frequency distribution. ...

[j.rubin]

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]

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.

[j.rubin]

Excellent

[adammoses97]

TYSM