Answered

Get the information you need from a community of experts on IDNLearn.com. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

Draw a histogram for the intervals 4-6, 7-9, 10-12, and 13-15 using the following data:
8, 9, 5, 14, 5, 14, 15, 7, 13, 6, 4, 10, 6, 6, 7, 5, 5, 12, 9, 8.

a.
b.
c.
d.

| Interval | Frequency |
|----------|-----------|
| 4-6 | 7 |
| 7-9 | 5 |
| 10-12 | 3 |
| 13-15 | 5 |

Sagot :

GinnyAnsweridn
To draw a histogram for the given data and specified intervals, we need to follow these steps:

1. Collect the Given Data:
- The data is: 8, 9, 5, 14, 5, 14, 15, 7, 13, 6, 4, 10, 6, 6, 7, 5, 5, 12, 9, 8

2. Define the Intervals:
- The intervals are: [tex]\( 4-6 \)[/tex], [tex]\( 7-9 \)[/tex], [tex]\( 10-12 \)[/tex], [tex]\( 13-15 \)[/tex]

3. Determine the Frequency of Each Interval:
- Count how many data points fall into each interval:
- [tex]\( 4-6 \)[/tex]:
- Data points: 5, 5, 5, 6, 6, 4, 6, 6
- Frequency: 8
- [tex]\( 7-9 \)[/tex]:
- Data points: 8, 9, 7, 9, 8, 7
- Frequency: 6
- [tex]\( 10-12 \)[/tex]:
- Data points: 10, 12
- Frequency: 2
- [tex]\( 13-15 \)[/tex]:
- Data points: 14, 14, 15, 13
- Frequency: 4

4. Draw the Histogram:
- We will create a histogram with the x-axis representing the intervals and the y-axis representing the frequencies.

5. Step-by-Step Construction:
- On the x-axis, mark the intervals: [tex]\( 4-6 \)[/tex], [tex]\( 7-9 \)[/tex], [tex]\( 10-12 \)[/tex], [tex]\( 13-15 \)[/tex]
- On the y-axis, mark the frequencies (0 to 8)
- Draw bars corresponding to the frequency of each interval.

Here is the detailed histogram:

```
Frequency
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
0 |
+---------------------------------------------
4-6 7-9 10-12 13-15
```

- The bar for interval [tex]\( 4-6 \)[/tex] reaches up to 8.
- The bar for interval [tex]\( 7-9 \)[/tex] reaches up to 6.
- The bar for interval [tex]\( 10-12 \)[/tex] reaches up to 2.
- The bar for interval [tex]\( 13-15 \)[/tex] reaches up to 4.

Make sure your drawn histogram properly follows the same structure, showing the frequencies for each given interval accurately.
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.