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Math 108
Take Home Test #1
V91015
Name: _____________
The next several questions are referring to this information:
1. What is the arithmetic average height of Black Cherry trees in the above chart?
2. What is the standard deviation of Black Cherry trees in the above chart assuming this is a random
sample of the Black Cherry trees from a forest?
3. In the class 65-70, what is the class mark?
4. What is the real upper class limit (boundary) of the class with the greatest frequency in the above
chart?
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5. What is the stated lower class limit of the class with the smallest frequency in the above chart?
6. What is the type of chart that you see above? What is it called?
7. Which class has a frequency of 5? Give its lower and upper stated limits:
8. What is the total number of Black Cherry trees sampled in the above chart?
The next several questions refer to this information:
9. What is the arithmetic mean of the frequency table?
10. What is the upper real limit of the class 160-199?
11. What is the sum of the frequencies?
12. What is the standard deviation of the frequency table?
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13. What is the relative frequency of the class 40-79?
14. What is the value of the cumulative frequency of the class 160-199?
15. What is the class midpoint of the class 120-159?
16. What is the class width in the above frequency table?
17. Were you to draw a pie chart of the above frequency table what degrees of arc (hint: from 0 degrees
to 360 degrees) would exist for the class 40-79 in your pie?
The next several questions refer to this information:
18. What is the arithmetic mean of the above data?
19. What is the median of the above data?
20. What is Q1 (first quartile) of the above data?
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21. What is Q3 (3rd quartile) of the above data?
22. Jane says the above data are bimodal and Tom says there is not a mode to the data. Assuming that
you are Tom, why would you argue there is no mode in the above data?
23. These data need a 5 number summary. What are the 5 numbers you would use to summarize these
data in ascending order? _____,_____,_____,____,____.
24. Draw a box and whiskers plot of the above data on this number line:
0 ------------------------------------------------------------------------------------------------------------------------------ 100
25. What type of skew exists, if any, in the above data?
26. What is the interquartile range for the above data?
27. What is the midquartile for the above data?
The next several questions refer to themselves:
28. Would length of a board at a construction site be a nominal, ordinal, interval, or ratio level of
measurement?
29. Would the color of a Valentine’s Day card be a quantitative or a qualitative variable?
30. John believes that Bach is better than Strauss. What level of measurement is John using?
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31. What percent of data in a distribution is greater than Q3?
32. If the mean, median, and mode of a distribution are all exactly the same number, what can you
conclude about the distribution?
33. What does the standard deviation represent conceptually in words? Give your answer here:
34. Sampling error is something that statistics is designed to handle: True or False?
35. You scored in the 78th percentile on the ACT. If 8,000 people took the ACT College Entrance Exams,
how many people had a score at least as high as your score? Hint: Think carefully about what "at least
as high" means.
36. Which of the following is/are not affected by extreme scores? Mean, Standard Deviation, Variance,
Median, Range.
37. If the mean is less than the median in a distribution, what can we conclude about the distribution’s
shape?
The next several questions refer to the chart below (on next page)
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38. 80% of the commutes above are _________ or less. Fill in the blank.
39. Roughly speaking (to a whole number), the semi-interquartile range of the commute data is
___________. Fill in the blank.
40. Roughly speaking (to a whole number), the median of the above commute data is ______________.
Fill in the blank.
That’s all for this first exam.