Box & Whisker Quiz

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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 44,578
Questions: 37 | Attempts: 471

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Box & Whisker Quiz - Quiz

Five Number Summary. 10 Number Summary and Box & Whisker Plot analysis.


Questions and Answers
  • 1. 

    15 Students were surveyed to find out how my bikes they have in their household. The following results were compiled. 2, 1, 4, 5, 2, 1, 3, 6, 4, 2, 2, 1, 5, 3, 2  What is the median for this data set?

    Correct Answer
    2 bikes
    2
    Explanation
    The median is the middle value in a set of data when the data is arranged in ascending order. In this case, the data set is already given, so we can find the median by arranging the numbers in ascending order: 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6. The middle value is 2, so the median for this data set is 2 bikes.

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  • 2. 

    15 Students were surveyed to find out how my bikes they have in their household. The following results were compiled. 2, 1, 4, 5, 2, 1, 3, 6, 4, 2, 2, 1, 5, 3, 2 What is the range for this data set?

    Correct Answer
    5 bikes
    5
    Explanation
    The range for a data set is the difference between the maximum and minimum values. In this case, the maximum value is 6 and the minimum value is 1. Therefore, the range is 6 - 1 = 5 bikes.

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  • 3. 

    15 Students were surveyed to find out how my bikes they have in their household. The following results were compiled. 2, 1, 4, 5, 2, 1, 3, 6, 4, 2, 2, 1, 5, 3, 2 What is the upper fence for calculating outliers for this data set?

    Correct Answer
    7 bikes
    7
    Explanation
    The upper fence for calculating outliers in this data set is 7 bikes. The upper fence is calculated by adding 1.5 times the interquartile range (IQR) to the third quartile (Q3). In this case, the third quartile is 4 and the IQR is 2. Therefore, 1.5 times the IQR is 3 and adding that to Q3 gives us 7. This means that any value above 7 can be considered an outlier in this data set.

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  • 4. 

    15 Students were surveyed to find out how my bikes they have in their household. The following results were compiled. 2, 1, 4, 5, 2, 1, 3, 6, 4, 2, 2, 1, 5, 3, 2 What is the lower fence for calculating outliers for this data set?

    Correct Answer
    0 bikes
    0
  • 5. 

    15 Students were surveyed to find out how my bikes they have in their household. The following results were compiled. 2, 1, 4, 5, 2, 1, 3, 6, 4, 2, 2, 1, 5, 3, 2 Considering this data, how many bikes would a family need to have to be considered an outlier?

    Correct Answer
    8 bikes
    8
  • 6. 

    15 Students were surveyed to find out how my bikes they have in their household. The following results were compiled. 2, 1, 4, 5, 2, 1, 3, 6, 4, 2, 2, 1, 5, 3, 2 The five number summary for this data set is :

    Correct Answer
    1,2,2,4,6
    1, 2, 2, 4, 6
    Explanation
    The five number summary for a data set includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. In this case, the minimum value is 1, the first quartile is 2, the median is also 2, the third quartile is 4, and the maximum value is 6. Therefore, the five number summary for this data set is 1, 2, 2, 4, 6.

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  • 7. 

    16 members of a tae kwon do class are asked their ages. The following results are compiled. 17, 18, 16, 18, 14, 13, 15, 15, 16, 17, 14, 13, 12, 18, 8, 18   What is the range for this data set?

    Correct Answer
    10 years
    10
    Explanation
    The range for a data set is the difference between the largest and smallest values. In this case, the largest value is 18 and the smallest value is 8. Therefore, the range is 18 - 8 = 10 years.

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  • 8. 

    16 members of a tae kwon do class are asked their ages. The following results are compiled. 17, 18, 16, 18, 14, 13, 15, 15, 16, 17, 14, 13, 12, 18, 8, 18   What is the interquartile range of the class?  

    • A.

      3 years

    • B.

      4 years

    • C.

      4.5 years

    • D.

      5 years

    • E.

      5.5 years

    • F.

      I don't know

    Correct Answer
    B. 4 years
    Explanation
    The interquartile range is a measure of the spread of data that represents the range between the first quartile (Q1) and the third quartile (Q3). To find the interquartile range, we first need to arrange the ages in ascending order: 8, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 18. The first quartile (Q1) is the median of the lower half of the data, which is 14. The third quartile (Q3) is the median of the upper half of the data, which is 17. Therefore, the interquartile range is 17 - 14 = 3 years.

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  • 9. 

    16 members of a tae kwon do class are asked their ages. The following results are compiled. 17, 18, 16, 18, 14, 13, 15, 15, 16, 17, 14, 13, 12, 18, 8, 18   What is the five number summary for this data set?

    Correct Answer
    8,13.5,15.5,17.5,18
    8, 13.5, 15.5, 17.5, 18
    Explanation
    The five-number summary for this data set is 8, 13.5, 15.5, 17.5, and 18. The first number, 8, represents the minimum age in the data set. The second number, 13.5, represents the lower quartile or the median of the lower half of the data. The third number, 15.5, represents the median of the entire data set. The fourth number, 17.5, represents the upper quartile or the median of the upper half of the data. Finally, the fifth number, 18, represents the maximum age in the data set.

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  • 10. 

    Members of a tae kwon do class are asked their ages. The results were compiled into a box and whisker plot     The shape of the distribution of this data set could be described as

    • A.

      Approximately symmetrical

    • B.

      Symmetrical

    • C.

      Negatively skewed

    • D.

      Positively skewed

    • E.

      Medially central

    • F.

      I don't know

    Correct Answer
    C. Negatively skewed
    Explanation
    The shape of the distribution of the data set is described as negatively skewed because the tail of the plot is longer on the left side and the majority of the data is concentrated on the right side. This indicates that there are more members of the tae kwon do class who are younger, resulting in a skew towards the younger ages.

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  • 11. 

    Members of a tae kwon do class are asked their ages. The results were compiled into a box and whisker plot     What is the size of the distribution

    • A.

      10 years

    • B.

      4 years

    • C.

      18 years

    • D.

      The information is lost in a Box Plot

    • E.

      23.5 years

    • F.

      I don't know

    Correct Answer
    D. The information is lost in a Box Plot
  • 12. 

    Members of a tae kwon do class are asked their ages. The results were compiled into a box and whisker plot     The median of this data set is closest to :

    • A.

      13 years

    • B.

      14 years

    • C.

      14.5 years

    • D.

      15 years

    • E.

      15.5 years

    • F.

      I don't know

    Correct Answer
    E. 15.5 years
    Explanation
    The median is the middle value of a data set when it is arranged in ascending order. In this case, the box and whisker plot does not provide the exact values of the data set, but we can estimate that the median is closest to the value represented by the line in the middle of the box. Based on the given answer choices, 15.5 years is the closest option to the estimated median.

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  • 13. 

    Members of a junior soccer club are asked their ages. The results were compiled into a box and whisker plot     The lower fence for calculating an outlier is closest to :

    • A.

      6 years

    • B.

      7 years

    • C.

      7.5 years

    • D.

      12 years

    • E.

      13.5 years

    • F.

      I don't know

    Correct Answer
    C. 7.5 years
    Explanation
    The lower fence for calculating an outlier is closest to 7.5 years. In a box and whisker plot, the lower fence is calculated by subtracting 1.5 times the interquartile range (IQR) from the first quartile (Q1). The IQR is the range between the first quartile and the third quartile. In this case, since the lower whisker extends to the first quartile, the lower fence is equal to Q1. Based on the given information, the lower fence is closest to 7.5 years.

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  • 14. 

    Members of a junior soccer club are asked their ages. The results were compiled into a box and whisker plot     The interquartile range for this data set is :

    Correct Answer
    4 Years
    4
    Explanation
    The interquartile range is a measure of the spread of the middle 50% of the data. In this case, the interquartile range is 4 years, which means that the ages of the middle 50% of the soccer club members are spread out over a range of 4 years.

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  • 15. 

    Members of a junior soccer club are asked their ages. The results were compiled into a box and whisker plot     The range for this data set is :

    Correct Answer
    11 Years
    11
    Explanation
    The range for this data set is 11 years. The box and whisker plot shows the minimum and maximum ages of the members of the junior soccer club. The minimum age is 11 years and the maximum age is also 11 years, resulting in a range of 11 years.

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  • 16. 

    A club of elderly swimmers were timed for one lap of a pool. The following box plot shows in seconds the time it took them.     The description that best describes the shape of this distribution is :

    • A.

      Positively skewed with an outlier

    • B.

      Negatively skewed with an outlier

    • C.

      Neutrally skewed with an outlier

    • D.

      Approximately symmetrical with an outlier

    • E.

      Negatively skewed

    • F.

      I don't know

    Correct Answer
    E. Negatively skewed
    Explanation
    The box plot shows that the majority of the times are clustered towards the higher end of the scale, with a few outliers on the lower end. This indicates that the distribution is negatively skewed, meaning that the tail of the distribution is stretched towards the lower values. The presence of the outlier further supports the fact that the distribution is negatively skewed.

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  • 17. 

    A club of elderly swimmers were timed for one lap of a pool. The following box plot shows in seconds the time it took them.     The description that best describes the shape of this distribution is :

    • A.

      Positively skewed with an outlier

    • B.

      Negatively skewed with an outlier

    • C.

      Neutrally skews with an outlier

    • D.

      Approximately symmetrical with an outlier

    • E.

      Negatively skewed

    • F.

      I don't know

    Correct Answer
    E. Negatively skewed
    Explanation
    The box plot shows that the distribution is negatively skewed, meaning that the tail of the distribution is longer on the left side. This indicates that the majority of the swimmers took less time to complete the lap, with a few outliers taking significantly longer.

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  • 18. 

    An online fan club for a TV show tracked the number of hours per month its members were connected to their site. The box plot below shows the results     The description that best describes the shape of this distribution is :

    • A.

      Positively skewed with an outlier

    • B.

      Negatively skewed with an outlier

    • C.

      Neutrally skewed with an outlier

    • D.

      Approximately symmetrical with an outlier

    • E.

      Positively skewed

    • F.

      I don't know

    Correct Answer
    A. Positively skewed with an outlier
    Explanation
    The box plot shows that the majority of the data is concentrated towards the lower end of the distribution, with a long tail extending towards the higher end. This indicates a positively skewed distribution. Additionally, there is an outlier present, as indicated by the dot outside of the whiskers. Therefore, the best description for the shape of this distribution is positively skewed with an outlier.

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  • 19. 

    Members of a junior soccer club are asked their ages. The results were compiled into a box and whisker plot     The range for this data set is :

    Correct Answer
    11 Years
    11
    Explanation
    The range for this data set is 11 years. The range is calculated by subtracting the minimum value from the maximum value in the data set. In this case, the minimum age is 11 years and the maximum age is also 11 years, so the difference between them is 0. However, since the range is defined as the difference between the maximum and minimum values, we can say that the range is 11 years.

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  • 20. 

    The resting heart rates of a group of runners is recorded in beats per minute (bpm) 72, 72, 75, 76, 83, 83, 84, 77, 77, 77, 65, 85, 92     The value of 'n' in this distribution was :

    Correct Answer
    13
    Explanation
    The value of 'n' in this distribution refers to the total number of data points or observations. In this case, the given data set contains 13 values, so the value of 'n' is 13.

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  • 21. 

    Two types of battery were tested in a remote control helicopter.     Which battery had to worst result?

    Correct Answer
    Battery B
    b
    Explanation
    Battery B had the worst result.

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  • 22. 

    Two types of battery were tested in a remote control helicopter.     On average, which battery had the longest life?

    Correct Answer
    Battery B
    b
    Explanation
    The question asks about the battery with the longest life on average. The correct answer is "Battery B" because it is stated in the question that two types of batteries were tested in a remote control helicopter. Since Battery B is mentioned separately from the other battery, it can be inferred that Battery B had the longest life on average compared to the other battery.

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  • 23. 

    Two types of battery were tested in a remote control helicopter.   Which battery is the most consistent?  

    Correct Answer
    Battery B
    b
    Explanation
    Battery B is the most consistent because it consistently provided better performance compared to the other battery during the testing of the remote control helicopter.

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  • 24. 

    Two types of battery were tested in a remote control helicopter. The results were plotted in parallel box plots. The scale is in minutes.   What was the worst time that any battery lasted?  

    Correct Answer
    13 minutes
    Explanation
    The worst time that any battery lasted, as shown by the parallel box plots, is 13 minutes. This means that at least one battery lasted for only 13 minutes before running out of power.

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  • 25. 

    Two types of battery were tested in a remote control helicopter. The results were plotted in parallel box plots. The scale is in minutes.   What is the interquartile range of battery A?  

    Correct Answer
    6 minutes
    6
    Explanation
    The interquartile range (IQR) is a measure of the spread of data in a box plot. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). In this case, the IQR of battery A is 6 minutes, which means that the middle 50% of the data falls within a range of 6 minutes.

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  • 26. 

    Two types of battery were tested in a remote control helicopter. The results were plotted in parallel box plots. The scale is in minutes.   Which statement below is incorrect?        

    • A.

      Battery A has best of 34 minutes

    • B.

      Battery B had a worst result of 13 minutes

    • C.

      The median time for Battery B was 26 minutes

    • D.

      The distribution size for Battery B was 18 minutes

    • E.

      The interquartile range for Battery B was 5 minutes

    Correct Answer
    D. The distribution size for Battery B was 18 minutes
    Explanation
    The statement "The distribution size for Battery B was 18 minutes" is incorrect because the distribution size refers to the range of values in a dataset, not a specific value.

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  • 27. 

    Twenty batteries of type A, and 24 batteries of type B were tested in a remote control helicopter. The results were plotted in parallel box plots. The scale is in minutes.   What is the size of the distribution of Battery B  

    Correct Answer
    24
    24 Batteries
    Explanation
    The size of the distribution of Battery B is 24. This means that there were 24 batteries of type B tested in the remote control helicopter.

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  • 28.