Box And Whisker Plot 5 Number Summary

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| By Tbutler2013

Tbutler2013

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1/10 Questions

What percent of the data listed below is higher than the lower quartile?88, 53, 72, 67, 48, 63, 25, 34, 46, 55, 72, 77
- 25%
- 50%
- 75%

Box And Whisker Plot 5 Number Summary - Quiz

About This Quiz

The box and whisker pot is an interesting way of summarizing data by getting the median and further getting the median of the two halves! Interesting right? Challenge yourself with the following quiz and gauge your knowledge.

2.

What percent of the data listed below is higher than the upper quartile?88, 53, 72, 67, 48, 63, 25, 34, 46, 55, 72, 77
- 25%
- 50%
- 75%
Correct Answer

A. 25%

Explanation

The upper quartile is the median of the upper half of the data. In this case, the upper quartile is 72. To determine the percentage of data higher than the upper quartile, we count the number of data points higher than 72, which is 3 (88, 77, and 72). Since there are a total of 12 data points, the percentage of data higher than the upper quartile is 3/12 = 25%.

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3.

What is the 5 number summary of the following data?100, 150, 50, 30, 90, 50
- 30, 50, 50, 100, 150
- 30, 50, 90, 100, 150
- 30, 50, 75, 100, 150
Correct Answer

A. 30, 50, 75, 100, 150

Explanation

The 5 number summary provides a summary of the distribution of the data. It includes the minimum value (30), the first quartile (50), the median (75), the third quartile (100), and the maximum value (150). These values give an overview of the spread and central tendency of the data.

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4.

Based on the box and whisker plot below, what is the range of the data?
- 42
- 25
- 30
Correct Answer

A. 42
5.

Based on the box and whisker plot below, what is the IQR of the data?
- 42
- 25
- 30
Correct Answer

A. 25
6.

Based on the box and whisker plot below, what is the median of the data?
- 30
- 45
- 20
Correct Answer

A. 30

Explanation

The median of a data set is the middle value when the data is arranged in ascending order. In the given box and whisker plot, the box represents the interquartile range, with the median falling within the box. The line inside the box represents the median, which is the value at the center of the box. In this case, the line is at 30, indicating that the median of the data is 30.

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7.

Determine the 5 number summary for the set of data:5, 20, 15, 25, 0, 10, 15, 5, 25, 30, 20
- 5, 15, 10, 25, 20
- 0, 7.5, 17.5, 22.5, 30
- 0, 5, 15, 25, 30
Correct Answer

A. 0, 5, 15, 25, 30

Explanation

The 5 number summary consists of the minimum value (0), the first quartile (5), the median (15), the third quartile (25), and the maximum value (30). This summary provides a concise description of the distribution of the data, indicating the range and the middle values.

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8.

Determine the Interquartile range for the following set of data:5, 20, 15, 25, 0, 10, 15, 5, 25, 30, 20
- 20
- 25
- 15
Correct Answer

A. 20

Explanation

The interquartile range is a measure of the spread of data, specifically the range between the first quartile (Q1) and the third quartile (Q3). In this case, the first quartile is 15 and the third quartile is 25. To find the interquartile range, subtract Q1 from Q3: 25 - 15 = 10. However, the given answer of 20 is incorrect and does not represent the interquartile range.

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9.

What percent of the data listed below is higher than the median?88, 53, 72, 67, 48, 63, 25, 34, 46, 55, 72, 77
- 25%
- 50%
- 75%
Correct Answer

A. 50%

Explanation

The median is the middle value of a set of data when arranged in order. In this case, when the data is arranged in ascending order, the median is 63. Since there are 6 values higher than 63 (88, 72, 67, 72, 77, 55) and 6 values lower than 63 (53, 48, 25, 34, 46, 63), it means that 50% of the data is higher than the median.

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10.

What is the upper quartile for the data set5, 5, 8, 10, 13, 13, 14, 18, 19, 19, 19, 24, 28

Correct Answer
19
nineteen

Explanation
The upper quartile is a measure of central tendency that divides the data set into four equal parts. In this case, the data set is already sorted in ascending order. The upper quartile is the median of the second half of the data set. Since the second half of the data set starts with the number 19 and ends with the number 28, the upper quartile is 19.

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Mar 17, 2023

Quiz Edited by
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Jan 08, 2014

Quiz Created by
Tbutler2013

Box And Whisker Plot 5 Number Summary

What percent of the data listed below is higher than the lower quartile?88, 53, 72, 67, 48, 63, 25, 34, 46, 55, 72, 77

Quiz Preview

What percent of the data listed below is higher than the upper quartile?88, 53, 72, 67, 48, 63, 25, 34, 46, 55, 72, 77

What is the 5 number summary of the following data?100, 150, 50, 30, 90, 50

Based on the box and whisker plot below, what is the range of the data?

Based on the box and whisker plot below, what is the IQR of the data?

Based on the box and whisker plot below, what is the median of the data?

Determine the 5 number summary for the set of data:5, 20, 15, 25, 0, 10, 15, 5, 25, 30, 20

Determine the Interquartile range for the following set of data:5, 20, 15, 25, 0, 10, 15, 5, 25, 30, 20

What percent of the data listed below is higher than the median?88, 53, 72, 67, 48, 63, 25, 34, 46, 55, 72, 77

What is the upper quartile for the data set5, 5, 8, 10, 13, 13, 14, 18, 19, 19, 19, 24, 28