Based on the boxplot above, what is the value for the maximum

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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**Understanding Boxplots**

A boxplot, also known as a whisker plot, is a standard way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

### Description of the Boxplot

In the attached diagram, the boxplot is oriented vertically, and the data points range from 6 to 20. Here's a detailed description:

1. **Minimum**: The smallest data value, indicated at the lower end of the "whisker." For this boxplot, the minimum value is **6**.
2. **First Quartile (Q1)**: The lower boundary of the box. For this boxplot, Q1 is approximately **10**.
3. **Median (Q2)**: The line inside the box. For this boxplot, the median value is approximately **14**.
4. **Third Quartile (Q3)**: The upper boundary of the box. For this boxplot, Q3 is approximately **18**.
5. **Maximum**: The largest data value, indicated at the upper end of the "whisker." For this boxplot, the maximum value is **20**.

### Educational Question

**Based on the boxplot above, what is the value for the maximum?**

Identifying the maximum value in a boxplot is straightforward. On this boxplot, the maximum value is at the upper end of the whisker, which is **20**.

**Answer:** The value for the maximum is **20**.
Transcribed Image Text:**Understanding Boxplots** A boxplot, also known as a whisker plot, is a standard way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. ### Description of the Boxplot In the attached diagram, the boxplot is oriented vertically, and the data points range from 6 to 20. Here's a detailed description: 1. **Minimum**: The smallest data value, indicated at the lower end of the "whisker." For this boxplot, the minimum value is **6**. 2. **First Quartile (Q1)**: The lower boundary of the box. For this boxplot, Q1 is approximately **10**. 3. **Median (Q2)**: The line inside the box. For this boxplot, the median value is approximately **14**. 4. **Third Quartile (Q3)**: The upper boundary of the box. For this boxplot, Q3 is approximately **18**. 5. **Maximum**: The largest data value, indicated at the upper end of the "whisker." For this boxplot, the maximum value is **20**. ### Educational Question **Based on the boxplot above, what is the value for the maximum?** Identifying the maximum value in a boxplot is straightforward. On this boxplot, the maximum value is at the upper end of the whisker, which is **20**. **Answer:** The value for the maximum is **20**.
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