Homework Help: statistics

Posted by Jennifer on Thursday, January 24, 2008 at 8:17pm.

For a particular sample of 50 scores on a psychology exam, the following results were obtained.
Mean = 78 Midrange = 72 Third quartile = 94 Mode = 84
Median = 80 Standard deviation = 11 Range = 52 First quartile=68
What score was earned by more students than any other score? Why?

How many students scored between 68 and 94 on the exam?

What was the highest score earned on the exam?

What was the lowest score earned on the exam?

statistics - Damon, Thursday, January 24, 2008 at 8:57pm
The mode is the most popular grade = 84

68 is the median of the first half
so 25 were between 68 and the median
another 25 were between the median and 94
so
50 students between first quartile 68 and third quartile 94

Mid range is 72.
That is half way between lowest and highest. Range = 52 so high = 72 +52/2 and low = 72 -52/2
so
low = 46
high = 98

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