60, 75, 89, 77, 65, 80, 63, 72
87, 64, 73, 75, 67, 74, 75, 74
68, 73, 75, 75, 74, 76, 71, 76
86, 82, 70, 71, 68, 78, 83, 77
74, 67, 88, 80, 72, 78, 83, 84

Group them together and draw the frequency table.

To group the data together, we will create intervals (also called bins) and then count the number of data points that fall into each interval. Let's use intervals of width 5 for this frequency table.

### Data Set
```
60, 75, 89, 77, 65, 80, 63, 72
87, 64, 73, 75, 67, 74, 75, 74
68, 73, 75, 75, 74, 76, 71, 76
86, 82, 70, 71, 68, 78, 83, 77
74, 67, 88, 80, 72, 78, 83, 84
```

### Grouped Frequency Table

| Interval | Frequency |
|----------|-----------|
| 60 - 64  | 3         |
| 65 - 69  | 5         |
| 70 - 74  | 8         |
| 75 - 79  | 12        |
| 80 - 84  | 7         |
| 85 - 89  | 5         |

In this table, each interval represents a group of data points within a range of 5. For instance, the interval **60 - 64** includes the data points 60, 63, and 64.

Would you like to see further analysis or have any questions?

### Relative Questions
1. How is the modal class determined from a grouped frequency table?
2. What is the cumulative frequency, and how can we calculate it for this data set?
3. How can we find the median class from the grouped data?
4. What is the purpose of using grouped intervals in a frequency table?
5. How do we calculate the mean of grouped data?
6. Can we estimate the standard deviation from grouped data?
7. How does grouping affect the interpretation of data?
8. What are the benefits and drawbacks of grouping data?

**Tip:** When choosing intervals for grouping data, ensure they are of equal width and cover all data points. This helps in creating a clear and meaningful representation of the data distribution.

Learn how to create a grouped frequency table for a dataset. Understand the process of grouping data into intervals and calculating frequencies. Example dataset includes values ranging from 60 to 89. Suitable for students and learners interested in statistics and data analysis.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation