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| fff Find the z scores of three students who had a score of 93, 80, 84 in an examination for a pre-medicine course which has a mean of 84 and a standard deviation of 4. fff |
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fff The height (in feet) of 8 waterfalls in different parts of the world are as follows:
1904, 1215, 2307, 2000, 1612, 2800, 2425, 1170.
Find the interquartile range.
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fff The life times (in weeks) of seven randomly selected bulbs are as recorded. Find midquartile range.
52, 63, 107, 96, 118, 74, 86 fff |
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fff The number of credits in business courses that 5 job applicants took is shown as 33, 27, 46, 54, 94. Check for outlier.
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| fff For a group of 200 candidates, the mean and standard deviation of scores were found to be 40 and 15. Later on, it was discovered that the scores 43 and 35 were misread as 34 and 53. Find the corrected mean and standard deviation. fff |
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fff Select the true statement(s).
I. The measure of central tendency used in exploratory data analysis is mean.
II. The measure of central tendency used in z score is median.
III. The mean and standard deviation is better than five-number summary for describing a skewed distribution.
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| fff The reaction time to a stimulus for a certain drug has a mean of 2.5 seconds and a standard deviation of 0.3 seconds. Find the z score for a reaction time of 3.1 seconds. fff |
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fff A talent test has a mean of 220 and a standard deviation of 10. Which among the following statement(s) is/are true?
I. If the z score for an exam score is negative, then the score is less than 220.
II. If the z score for an exam score is zero, then the score is equal to 220.
III. If the z score is positive, then the score is more than 220. fff |
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fff Jessica scored 70 in an Algebra test that had a mean of 60 and a standard deviation of 8, and she scored 56 in French with a mean of 50 and a standard deviation of 5. Compare her relative positions in the two tests.
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fff The distance (in miles) run by 8 athletes per day are given. Find the value that corresponds to the 40th percentile.
4.2, 5.8, 4.5, 5.1, 3.8, 4.6, 3.2, 5.4, 4.3, 4.4 fff |
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fff The table shows the average time (in hours) that a driver is delayed due to road congestion in a year at different places. | Place | Number of hours | | A | 53 | | B | 46 | | C | 44 | | D | 42 | | E | 36 |
Find Q1, Q2, Q3 for this data.
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fff The number of days taken by a company to manufacture different sizes of same product are given as 5, 6, 22, 15, 13, 18, 12, 50. Check for outliers.
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fff The number of inches of rainfall received in a year in 7 selected cities is given as 5.5, 5.8, 6.2, 7.9, 5.3, 6.8, 15.5. Check for outlier.
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fff Which among the following statement(s) is/are correct?
I. An outlier is an extremely high or an extremely low data value when compared with the rest of the data values.
II. The mean and standard deviation of a variable are not affected by an outlier.
III. The interquartile range is defined as the difference between Q1 and Q3 and is the range of the middle 25% of the data.
IV. Q2 is same as the mean.
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fff The frequency distribution of the highest temperatures (in °F) in 50 states during a season is shown. Find the percentile rank for a temperature of 117.5°F by constructing a percentile graph.| Temperatures | Number of states | | 99.5 - 104.5 | 2 | | 104.5 - 109.5 | 8 | | 109.5 - 114.5 | 18 | | 114.5 - 119.5 | 13 | | 119.5 - 124.5 | 7 | | 124.5 - 129.5 | 1 | | 129.5 - 134.5 | 1 |
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fff The number of clients visiting a stock market over a 11-day period are as follows:
33, 38, 43, 30, 29, 40, 51, 27, 42, 23, 31
Find the interquartile range. fff |
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fff Check the following data set for outliers.
25, 43, 16, 4, 11, 39, 28, 8 fff |
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fff Write the z - score and the test that has a better relative position of the two tests?| Test 1 | X = 53 | X¯ = 61 | s = 8 | | Test 2 | X = 112 | X¯ = 122 | s = 9 |
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fff When a distribution is bell-shaped, approximately what percentage of data values will fall within 1 standard deviation of the mean?
I. 95%
II. 99.7%
III. 68%
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| fff The salaries for 6 employees of XYZ company are $5000, $2500, $3200, $4100, $2200 and $1800. Find the percentile rank for a salary of $3200. fff |
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fff The frequency distribution for the rainfall readings (millimeters) of 60 selected cities is shown. Select the percentile graph for the data.| Rainfall range | Number of cities | | 0 - 2 | 18 | | 2 - 4 | 12 | | 4 - 6 | 7 | | 6 - 8 | 13 | | 8 - 10 | 10 |
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fff Find Q1, Q2 and Q3 for the data set.
9, 3, 2, 5, 4, 7, 6, 11, 13.
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fff A partial list of U.S Presidents and their respective ages when they took the charge of the White House are given. Find the five-number summary. Was Bill Clinton in the youngest 25% for the given list?| President | Age | | Washington | 57 | | Jackson | 61 | | W.H.Harrison | 68 | | Lincoln | 52 | | A.Johnson | 56 | | B.Harison | 55 | | J.Roosevelt | 42 | | F.D.Roosevelt | 51 | | Kennedy | 43 | | Clinton | 46 |
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fff Find the percentile rank for a weight of 92 pounds if the weights (in pounds) of 6 students are given:
97, 78, 86, 82, 88, 92
What value corresponds to the 60th percentile?
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fff The frequency distribution of the distance (in miles) covered by 20 randomly selected runners during a week is shown. Select the percentile graph for the data.
| Distance | Number of runners | | 5.5 - 10.5 | 1 | | 10.5 - 15.5 | 2 | | 15.5 - 20.5 | 3 | | 20.5 - 25.5 | 5 | | 25.5 - 30.5 | 4 | | 30.5 - 35.5 | 3 | | 35.5 - 40.5 | 2 |
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