1.01

0.28

1.24

0.21

0.37

2.53

1.55

1.97

0.4

0.82

0

2.86

2.86

0.23

0.15

3.52

0.51

0.29

2.78

3.11

0

0.15

0

1.71

2.32

0.6

0.05

0.06
what is the five number summary

The five-number summary consists of the **minimum**, **first quartile (Q1)**, **median (Q2)**, **third quartile (Q3)**, and **maximum**. Let's compute it step by step for the given dataThe five-number summary consists of the **minimum**, **first quartile (Q1)**, **median (Q2)**, **third quartile (Q3)**, and **maximum**. Let's compute it step by step for the given 

### Step 1: Arrange the data in ascending order.
0, 0, 0, 0.05, 0.06, 0.15, 0.15, 0.21, 0.23, 0.28, 0.29, 0.37, 0.4, 0.51, 0.6, 0.82, 1.01, 1.24, 1.55, 1.71, 1.97, 2.32, 2.53, 2.78, 2.86, 2.86, 3.11, 3.52

### Step 2: Identify the five numbers.
1. **Minimum**: The smallest value is **0**.
2. **Q1 (First Quartile)**: The 25th percentile (7th value in the sorted list) is **0.15**.
3. **Median (Q2)**: The 50th percentile (14th value in the sorted list) is **0.51**.
4. **Q3 (Third Quartile)**: The 75th percentile (21st value in the sorted list) is **1.97**.
5. **Maximum**: The largest value is **3.52**.

### Five-number summary:
- **Minimum**: 0
- **Q1 (First Quartile)**: 0.15
- **Median (Q2)**: 0.51
- **Q3 (Third Quartile)**: 1.97
- **Maximum**: 3.52

Would you like further details on how each of these values is calculated or interpreted?

Here are 5 relative questions:
1. How does the five-number summary help in understanding the distribution of data?
2. What is the interquartile range (IQR) for this data set?
3. What does a box plot look like for this data using the five-number summary?
4. How do outliers affect the five-number summary?
5. Can you use the five-number summary to determine the skewness of the data?

**Tip**: The interquartile range (IQR), which is Q3 - Q1, can be useful in identifying potential outliers.

1.01 0.28 1.24 0.21 0.37 2.53 1.55 1.97 0.4 0.82 0 2.86 2.86 0.23 0.15 3.52 0.51 0.29 2.78 3.11 0 0.15 0 1.71 2.32 0.6 0.05 0.06 What is the five-number summary?

Learn how to calculate the five-number summary, including the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum for a given data set. This step-by-step guide covers key statistical concepts such as quartiles and interquartile range (IQR). Suitable for Grades 7-10.

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