This question has two parts. First, answer Part A. Then, answer Part B.Part AFill in the blank question.Determine the five-number summary for the given data. books a student checks out of the library: 17, 9, 10, 17, 18, 5, 2 min: Q1: median: Q3: max: Part BChoose the correct box plot of the given data.Multiple choice question.A)B)C)D)
Question
This question has two parts. First, answer Part A. Then, answer Part B.Part AFill in the blank question.Determine the five-number summary for the given data. books a student checks out of the library: 17, 9, 10, 17, 18, 5, 2 min: Q1: median: Q3: max: Part BChoose the correct box plot of the given data.Multiple choice question.A)B)C)D)
Solution
Part A
To determine the five-number summary, we need to find the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of the given data set.
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Arrange the data in ascending order: 2, 5, 9, 10, 17, 17, 18
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Minimum (min): The smallest number in the data set is 2.
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Median: The median is the middle number in the ordered data set. Since there are 7 numbers, the median is the 4th number. Median = 10
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First Quartile (Q1): The first quartile is the median of the lower half of the data (excluding the overall median). The lower half is 2, 5, 9. Q1 = 5
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Third Quartile (Q3): The third quartile is the median of the upper half of the data (excluding the overall median). The upper half is 17, 17, 18. Q3 = 17
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Maximum (max): The largest number in the data set is 18.
So, the five-number summary is: min: 2 Q1: 5 median: 10 Q3: 17 max: 18
Part B
To choose the correct box plot, we need to match the five-number summary with the options provided.
A) Box plot with min = 2, Q1 = 5, median = 10, Q3 = 17, max = 18 B) Box plot with min = 2, Q1 = 6, median = 10, Q3 = 17, max = 18 C) Box plot with min = 2, Q1 = 5, median = 11, Q3 = 17, max = 18 D) Box plot with min = 3, Q1 = 5, median = 10, Q3 = 17, max = 18
The correct box plot is A) because it matches the five-number summary we calculated.
Similar Questions
Consider the following ordered data.3 6 6 7 8 8 9 10 11(a) Find the low, Q1, median, Q3, and high.(b) Find the interquartile range.(c) Make a box-and-whisker plot.Step 1(a) Find the low, Q1, median, Q3, and high.First, find the low and high numbers of the five-number summary for the given data set.Recall that the five-number summary is used to create a box-and-whisker plot. The five-number summary consists of the lowest value, the first quartile, Q1, the median, the third quartile, Q3, and the highest value of a data set.The given data set 3 6 6 7 8 8 9 10 11 is ordered.We see that the lowest value is and the highest value is .
In a five number summary, which of the following is not used for data summarization?Select an option Clear Responsethe smallest valuethe largest valuethe medianthe 25th percentile
The five number summary includes the minimum, Q1, median, Q3, and maximum.Group of answer choicesTrueFalse
A five number summary contains the min, max, Q1, Q3, and what other value? Group of answer choicesthe MedianQ2the 50th percentileAll of these answers are correct.
(3) The following boxplot shows the grades of two classes. Answer the following questions.Which class has a higher range?Which class has a smaller measure of spread?Compare the median grades of the two box plots.In class 2, what percentage of students have grades above 60?In class 1, what percentage of students have grades between 60 and 80?
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