The IQ scores of 50 students are given below. 117 118 97 97 86 108 95 97 115 112 113 86 110 99 113 95 116 113 91 108 91 107 114 111 93 103 93 114 111 111 109 103 99 91 109 109 91 119 93 111 114 111 105 110 113 102 112 114 (a) Construct a grouped frequency distribution for the data. Use 85-89 for the first class and use the same width for each subsequent class. Class Frequency 85 89 2388

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### IQ Scores Data

The IQ scores of 50 students are displayed in the table below:

```
117, 118,  97,  97,  86, 108,  95,  92,  97, 115
112, 113,  86, 110,  99, 113,  95, 116, 113
 91, 108, 106,  99, 115, 103,  93, 114
111, 111, 109, 103,  99, 111,  93, 114
 93, 111, 114, 111, 105, 110, 113, 119
 92, 112, 113, 102, 112, 114
```

### Task

(a) **Constructing a Grouped Frequency Distribution**

- Construct a grouped frequency distribution for the provided data.
- Use the interval 85-89 as the first class.
- Use the same width for each subsequent class.

**Frequency Distribution Table Structure:**

| Class | Frequency |
|-------|-----------|
| 85-89 |           |
|       |           |
|       |           |
|       |           |
|       |           |

(b) **Identifying the Correct Histogram**

- Determine which of the following is the correct histogram for this dataset.

### Explanation for a Histogram (not provided in the image):

A histogram is a graphical representation of data using bars of different heights. It groups numbers into ranges and is a useful tool for understanding the distribution of a dataset. In this context, a histogram would allow visualization of the frequency distribution of the IQ scores.

The next steps would involve counting the frequency of scores falling within each class interval and filling in the frequency table, then using this information to plot a histogram.
Transcribed Image Text:### IQ Scores Data The IQ scores of 50 students are displayed in the table below: ``` 117, 118, 97, 97, 86, 108, 95, 92, 97, 115 112, 113, 86, 110, 99, 113, 95, 116, 113 91, 108, 106, 99, 115, 103, 93, 114 111, 111, 109, 103, 99, 111, 93, 114 93, 111, 114, 111, 105, 110, 113, 119 92, 112, 113, 102, 112, 114 ``` ### Task (a) **Constructing a Grouped Frequency Distribution** - Construct a grouped frequency distribution for the provided data. - Use the interval 85-89 as the first class. - Use the same width for each subsequent class. **Frequency Distribution Table Structure:** | Class | Frequency | |-------|-----------| | 85-89 | | | | | | | | | | | | | | (b) **Identifying the Correct Histogram** - Determine which of the following is the correct histogram for this dataset. ### Explanation for a Histogram (not provided in the image): A histogram is a graphical representation of data using bars of different heights. It groups numbers into ranges and is a useful tool for understanding the distribution of a dataset. In this context, a histogram would allow visualization of the frequency distribution of the IQ scores. The next steps would involve counting the frequency of scores falling within each class interval and filling in the frequency table, then using this information to plot a histogram.
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