SOLUTION: For a particular sample of 50 scores on apsychology exam,the following results were obtained. First quartile=42 third quartile=74 Standard devation=8 range =56 Mean =58 Median=57

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Question 275906: For a particular sample of 50 scores on apsychology exam,the following results were obtained.
First quartile=42 third quartile=74 Standard devation=8 range =56 Mean =58 Median=57 Mode=68 Midrange=61
WHat score was earned by more students than any other score?Why?
what was the highest score earned on the exam?
What was the lowest score earned on the exam?
According to Chebyshev's therorem,how many students scored between 42 and 74?
Assume that the distribution is normal.Based on the Empirical Rule, How many students scored between 42 and 74

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
For a particular sample of 50 scores on a psychology exam,the following results were obtained.
First quartile=42 third quartile=74 Standard devation=8 range =56 Mean =58 Median=57 Mode=68 Midrange=61
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WHat score was earned by more students than any other score? 57 Why? It's the mode.
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what was the highest score earned on the exam?
That would be the top number on the range, which you did not list.
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What was the lowest score earned on the exam?
That would be the lowest number on the range.
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According to Chebyshev's therorem,how many students scored between 42 and 74?
42 is 2 std below the mean
74 is 2 std above the mean
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Ans: 95% of the scores would be between 42 and 78
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Assume that the distribution is normal.Based on the Empirical Rule, How many students scored between 42 and 74
z(42) = -2
z(74) = +2
P(-2 < z < 2) = 0.9545
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Cheers,
Stan H.

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