Question 476746: 1. For a particular sample of 65 scores on a psychology exam, the following results were obtained.
First quartile = 42 Third quartile = 77 Standard deviation = 10 Range = 68
Mean = 65 Median = 68 Mode = 71 Midrange = 65
Answer each of the following:
I. What score was earned by more students than any other score? Why?
II. What was the highest score earned on the exam?
III. What was the lowest score earned on the exam?
IV. According to Chebyshev's Theorem, how many students scored between 45 and 85?
V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 35 and 95?
Please show all of your work.
Thank you so much
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1. For a particular sample of 65 scores on a psychology exam, the following results were obtained.
First quartile = 42 Third quartile = 77 Standard deviation = 10 Range = 68
Mean = 65 Median = 68 Mode = 71 Midrange = 65
Answer each of the following:
I.What score was earned by more students than any other score? Why?:::mode = 71
---------------------
II. What was the highest score earned on the exam?::Mean+34 = 65+34 = 99
---------------------
III. What was the lowest score earned on the exam?:::Mean-34 = 65-34 = 31
------------------------
IV. According to Chebyshev's Theorem, how many students scored between 45 and 85?:::P(mean-2std) = (1/2)0.75 = 37.5%
------------------------
V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 35 and 95?
z(35) = (35-65)/10 = -3
Z(95) = (95-65)/10 = +3
---
P(35< x < 95) = P(-3 < z < 3) = 0.9973
=========================================
Cheers,
Stan H.
|
|
|
