1. For a particular sample of 58 scores on a psychology exam, the following resu
ID: 2957000 • Letter: 1
Question
1. For a particular sample of 58 scores on a psychology exam, the following results were obtained.First quartile = 52 Third quartile = 84 Standard deviation = 10 Range = 66
Mean = 79 Median = 78 Mode = 81 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 59 and 99?
V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 69 and 89?
2.SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score within the population would have a percentile rank of approximately 84? Show all work as to how this is obtained.
Explanation / Answer
1. For a particular sample of 58 scores on a psychology exam, the following results were obtained. First quartile = 52 Third quartile = 84 Standard deviation = 10 Range = 66 Mean = 79 Median = 78 Mode = 81 Midrange = 65 Answer each of the following: I. What score was earned by more students than any other score? Why? mode is score earned by most= 81 II. What was the highest score earned on the exam? midrange is mean of smallest(s)+largest(l)is (l+s)/2=65 range = l-s=66 or l=66+s substitute this in midrange (66+s+s)/2=65 33+s=65 s=65-33=32 l= 66+32=98 III. What was the lowest score earned on the exam? from above smallest = 32 IV. According to Chebyshev's Theorem, how many students scored between 59 and 99? 59-79=-20 -20/10=-4 99-79=20 40/10 =4 probabilit yof lying within 4 standard deviations of mean is 1-1/16=15/16 V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 69 and 89? if distribution is normal mean=79 and standard deviation of 10 then P(68Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.