58
48
50
41
56
48
65
55
69
44
61
44
55
62
52 find the 5 number summary

The **five-number summary** consists of the following five statistics:

1. **Minimum**: The smallest number in the data set.
2. **First Quartile (Q1)**: The median of the lower half of the data.
3. **Median (Q2)**: The middle value of the data.
4. **Third Quartile (Q3)**: The median of the upper half of the data.
5. **Maximum**: The largest number in the data set.

Let’s find the five-number summary for the given data set:

58, 48, 50, 41, 56, 48, 65, 55, 69, 44, 61, 44, 55, 62, 52.

### Step 1: Arrange the data in ascending order.
41, 44, 44, 48, 48, 50, 52, 55, 55, 56, 58, 61, 62, 65, 69.

### Step 2: Identify the minimum and maximum.
- **Minimum**: 41
- **Maximum**: 69

### Step 3: Find the median (Q2).
Since there are 15 data points, the median is the 8th value.
- **Median (Q2)**: 55

### Step 4: Find the first quartile (Q1).
The lower half of the data (before the median) is:
41, 44, 44, 48, 48, 50, 52.
The median of this subset is the 4th value.
- **First Quartile (Q1)**: 48

### Step 5: Find the third quartile (Q3).
The upper half of the data (after the median) is:
55, 56, 58, 61, 62, 65, 69.
The median of this subset is the 4th value.
- **Third Quartile (Q3)**: 61

### Final Five-Number Summary:
- **Minimum**: 41
- **Q1**: 48
- **Median (Q2)**: 55
- **Q3**: 61
- **Maximum**: 69

Would you like more details on this process or have any other questions?

### Related Questions:
1. How do quartiles help describe a data set?
2. How is the interquartile range (IQR) calculated from the five-number summary?
3. Can the five-number summary be used to detect outliers?
4. What is the difference between mean and median in data analysis?
5. How do you interpret box plots based on the five-number summary?

**Tip**: The five-number summary is especially useful for identifying the spread and distribution of data, helping to visualize variability.

58, 48, 50, 41, 56, 48, 65, 55, 69, 44, 61, 44, 55, 62, 52 find the 5 number summary

Discover how to calculate the five-number summary for the data set 58, 48, 50, 41, 56, 48, 65, 55, 69, 44, 61, 44, 55, 62, 52. This detailed solution covers the minimum, Q1, median (Q2), Q3, and maximum values to help describe the spread and distribution of the data. Perfect for students in Grades 6-8.

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