Question
QUESTION 1. The time needed to complete a math examination is bell-shaped with a mean of 60 minutes and a standard deviation of 5 minutes.
QUESTION 1. The time needed to complete a math examination is bell-shaped with a mean of 60 minutes and a standard deviation of 5 minutes.
a) What percentage of students will complete the exam in 55 minutes or less?_________
%
b) Assume that the class has 190 students and that the examination period is 70 minutes in length. How many students do you expect will not be able to complete the exam in the allotted time? ))))))))))Round answer to the nearest whole number.
c) A student is classified as extremely "efficient" if the amount of time spent on the exam is the lowest 2.5% for the distribution. What is the upper limit for the time it takes an extremely "efficient" student to finish the exam? _____
IN minutes?
QUESTION2. Given the following table of unsorted values, calculate the indicated locator and percentile. Do not round your results.
13 | 100 | 36 | 49 | 96 | 70 | 16 | 60 |
74 | 87 | 55 | 27 | 41 | 71 | 12 | 66 |
52 | 20 | 69 | 58 | 90 | 89 | 57 | 75 |
14 | 65 | 5 | 11 | 94 | 61 | 84 | 43 |
35 | 30 | 28 | 38 | 81 | 26 | 17 | 78 |
79 | 29 | 18 | 45 | 15 | 56 | 39 | 54 |
97 | 25 | 88 | 86 | 85 | 7 | 83 | 6 |
42 | 47 | 10 | 95 | 93 | 40 | 34 | 82 |
a) Determine the locator for the 75th percentile______ b) Find the 75th percentile_______ c) Approximately, what percent of the scores in a dataset are below the 75thpercentile? _______
QUESTION 3: The 5-number summary for a data set is as follows:
52 7 11 25 68
- The range of the dataset = __________
- The first (lower) quartile = _________
- The interquartile range, IQR______?= and it represents the range of the middle_____ ?% of the data.
- The 50th percentile = _______
- About 75% of the data are less than________ ?
- There are about Correct__________ ?% of the data between 25 and 68.?
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