SOLUTION: 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 Me

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.

RELATED QUESTIONS
Very difficult problem! 1. For a particular sample of 50 scores on a psychology exam,... (answered by stanbon)

For a particular sample of 80 scores on a psychology exam, the following results were... (answered by Edwin McCravy)

For a particular sample of 50 scores on a psychology exam, the following results were... (answered by stanbon)

For a particular sample of 77 scores on a psychology exam, the following results were... (answered by ewatrrr)

Can you please show me how to answer this? For a particular sample of 50 scores on a... (answered by jrfrunner)

For a particular sample of 63 scores on a psychology exam, the following results were... (answered by stanbon)

For a particular sample of 50 scores on apsychology exam,the following results were... (answered by stanbon)

Hello Can someone please help me I stuck on this problem. Please help me I did work most... (answered by solver91311)

Statistics Instruction: Apply the five steps of hypothesis-testing procedure to each... (answered by solver91311)