The data represent the​ time, in​ minutes, spent reading the newspaper in a day. Construct a frequency distribution using 

55 

classes.

Minutes Spent Reading the Newspaper

66

44

22

1111

1212

88

22

22

11

1818

1919

1414

1616

77

99

1919

44

1111

00

1919

...

Question content area right

Part 1

Complete the​ table, starting with the lowest class limit.

Class

Frequency

00​-33

44

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To construct a frequency distribution with 5 classes, we first need to determine the class width, the class limits, and then count the frequency of the data points that fall within each class.

### Steps to create the frequency distribution:

1. **Find the range of the data**:
   - The lowest value is \(0\) and the highest value is \(19\).
   - **Range** = Highest value - Lowest value = \(19 - 0 = 19\)

2. **Determine the class width**:
   - **Class width** = \(\frac{\text{Range}}{\text{Number of classes}}\)
   - \( \frac{19}{5} \approx 3.8\), but we round up to 4 to make the class limits easier to manage.

3. **Determine the class limits**:
   - Starting with the lowest class limit (0), add the class width to determine the subsequent upper class limits.
   - Class 1: 0 - 3
   - Class 2: 4 - 7
   - Class 3: 8 - 11
   - Class 4: 12 - 15
   - Class 5: 16 - 19

4. **Count the frequency for each class**:
   - Class 1 (0 - 3): 0, 1, 2, 2, 2 → Frequency = 5
   - Class 2 (4 - 7): 4, 4, 7 → Frequency = 3
   - Class 3 (8 - 11): 8, 9, 11, 11 → Frequency = 4
   - Class 4 (12 - 15): 12, 14 → Frequency = 2
   - Class 5 (16 - 19): 16, 18, 18, 19, 19, 19 → Frequency = 6

### Frequency Distribution Table:

| Class     | Frequency |
|-----------|-----------|
| 00 - 03   | 5         |
| 04 - 07   | 3         |
| 08 - 11   | 4         |
| 12 - 15   | 2         |
| 16 - 19   | 6         |

Would you like a more detailed explanation or have any questions?

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Here are some related questions:

1. How do you calculate the midpoint of each class?
2. What is the purpose of constructing a frequency distribution?
3. How do you determine the cumulative frequency for each class?
4. How would the frequency distribution change if you used 10 classes instead of 5?
5. What are the benefits of rounding up the class width?
6. How can you create a histogram based on this frequency distribution?
7. What is the difference between relative frequency and frequency?
8. How would you calculate the relative frequency for each class?

**Tip:** When constructing frequency distributions, always round up the class width to ensure that all data points are included and no gaps are left between classes.

Learn how to construct a frequency distribution with 55 classes using data on minutes spent reading the newspaper. This detailed guide includes determining class limits, calculating frequencies, and organizing data effectively. Suitable for high school students studying statistics.

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