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Solved Examples
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 DD  Which of the box plots represent the Richter magnitudes of 5 earthquakes if their Richter magnitudes are given as 6.4, 6.2, 5.4, 7.7 and 8.0?  DD View Solution
 DD  The cumulative frequency for the distribution of the distance (in miles) that 20 randomly selected runners ran during a week is given in the ogive. Find the interquartile range for the data by constructing a box plot.  DD View Solution
 DD  Interpret the ogive of temperatures (°F) recorded at 50 different places. Identify the five number summary of this data from the graph.  DD View Solution
 DD  Identify the five-number summary for the number of previous jobs held by each of six job applicants for clerk's post to BRR company if the number of jobs data is given as 2, 4, 5, 6, 8, 9.  DD View Solution
 DD  The box plot shown represents five number summary of the stopping distance (in feet) of 9 different automobiles after applying brakes, travelling at a speed of 15 miles per hour. Find the maximum distance, minimum distance and interquartile range.  DD View Solution
 DD  Which of the following box plots represents the number of calculators sold during a randomly selected week? 8, 12, 23, 5, 9, 15, 3.  DD View Solution
 DD  P50 corresponds to ____.I. Q2II. IQRIII. MRIV. D5  DD View Solution
 DD  Which is not part of the five-number summary?I. Q1 and Q3II. The meanIII. The medianIV. The smallest and largest data values  DD View Solution
 DD  The box plot represents the five-number summary of the temperatures recorded at a particular place in California state for the first week of April 2003. The recorded temperatures in °F are 87, 85, 80, 78, 83, 86, 90. Find maximum temperature, minimum temperature and interquartile range.  DD View Solution
 DD  Which of the following statement(s) can be inferred from a box plot?I. In a box plot, if the median falls to the left of the center of the box, then the distribution is negatively skewed.II. If the median is near the center of the box, the distribution is approximately symmetric.III. If the lines outside the box are about the same length, the distribution is positively skewed.  DD View Solution
 DD  Identify the incorrect statement(s).I. Percentiles divide the data set into 100 equal groups.II. Deciles divide the distribution into 10 equal groups.III. Quartiles divide the distribution into 25 equal groups.  DD View Solution
 DD  Recognize the incorrect statement(s).I. When all data for a variable are transformed into z scores, the resulting distribution will have a mean of 1 and a standard deviation of 0.II. The z score represents the number of standard deviations that a data value falls above or below the mean.III. Percentages are position measures used to compare the relative position of an individual in a group.IV. Percentile divide the data set into 100 equal groups.  DD View Solution
 DD  The owner of a restaurant recorded the number of visitors for a period of one week. Examine the nature of distribution of the data, using a box plot. 256, 542, 340, 460, 380, 429, 412  DD View Solution
DD  The time (in minutes) taken by Moore and James to swim 2000 yards for 8 sessions in a pool are given.
 Moore James 34.02 36.12 34.12 35.37 35.72 35.57 34.72 35.43 34.05 36.05 34.13 34.85 36.17 34.75 36.07 34.18
Compare the distributions using box plots.  DD
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 DD  The median price of different books in a bookstall is \$35.The difference between twice the minimum price and half the maximum price in the bookstall gives the median price, which is also equal to the midrange. The IQR of the prices is \$5. The price of the book corresponding to 25th percentile is \$32. Identify five - number summary .  DD View Solution
DD  An automobile company is interested in comparing the car models launched in the market in 1998 and 1999. The fuel consumption (in miles per gallon) of different models are given in the table.
 Car Models Fuel consumption in the year 1998 Fuel consumption in the year 1999 A 19 16 B 20 19 C 18 17 D 16 18 E 22 21 F 24 20
Compare the data. The car models of which year has less fuel consumption?  DD
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 DD  Which of the following statement(s) is/are true?I. If a student secured 75th percentile in an exam, then it means that he scored 75 out of 100.II. A statistic that tells the number of standard deviations a data value is above or below the mean is called z score.III. The distribution is positively skewed if the mode is to the left of the median and the mean is to the right of the median.  DD View Solution
DD  The percentage of points scored by Jack each year during his four year degree course is shown in the table. Which is the equivalent box-and-whisker plot for the data? Also find the average percentage of points scored by him during the course.
 Year Percentage of points 1st Year 70 2nd Year 82 3rd Year 76 4th Year 80

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DD  The scoreboard of a 100 meters running race is shown here. Construct a box-and-whisker plot for the data shown in the table. Also find out the range of the box-and-whisker plot.
 Contestant Time taken (in seconds) Tony 20 James 18 Joe 14 Louis 10 Peter 18
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 DD  The owner of a super market recorded the number of customers visiting his store per hour in a day. The results were 15, 10, 12, 9, 18, 5, 8, 9, 15, 10 and 11. Construct a box plot for the data.  DD View Solution
DD  A recent survey by a broadcasting company revealed that the number of viewers of different T.V channels in U.S.A are as recorded. Choose the appropriate box-and-whisker plot for the data and find the mean number of T.V viewers.
Number of viewers of different T.V channels in U.S
 Channel Number of viewers (in millions) Discovery 20 HBO 32 Fox Sports 10 CNN 14 Cartoon Network 16
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DD  The expenditure of Jennifer in a day is as recorded in the table. Which box-and-whisker plot represents the data in the table?
 Item Expenditure (\$) Food products 6.50 Perfumes 6.00 Souvenirs 1.00 Cosmetics 3.50 Accessories 2.50 Leather items 7.00 Other items 0.50

What is the product of all the three quartiles of the box-and-whisker plot?  DD
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DD  The approximate height (in hundred feet) of mountains in U.S are shown in the table. Choose the appropriate box-and-whisker plot for the data and find the mean height of the mountains in U.S.
 Name Height (in hundred ft.) Mt. McKinley 200 Mt. St. Elias 180 Mt. Foraker 175 Mt. Bona 165 Mt. Blackburn 160 Mt. Alverstone 145 Sunshine Peak 140

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 DD  What is the outlier in the box-and-whisker plot?  DD View Solution
 DD  Which of the following statement(s) is/are true ?I. Mode is the measure of central tendency used in exploratory data analysis (EDA).II. Extremely low data value in the data set can be considered as an outlier.III. Percentiles are the same as percentages.  DD View Solution
 DD  What is the percentage of the box in the box-and-whisker plot?  DD View Solution