2 3 5 7 6 7 2 S 5,1 9 6,4 10 11 12 13 3,6,2 4, 5, 1,0 2 7 where 712-72 students What is the value of the appropriate spread? Standard Deviation = 27.5 Standard Deviation = 26.56 IQR = 27.5 IQR = 114 Standard Deviation = 47.5 IQR = 29.5

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**Educational Content: Analyzing Data Using Stem-and-Leaf Plots and Calculating Spread**

**Stem-and-Leaf Plot Description:**

The provided image contains a stem-and-leaf plot along with a question about interpreting data spread. This type of plot is used to represent quantitative data. It helps in understanding the shape, center, and spread of the data. Each number in the plot is split into a "stem" (the leading digit or digits) and a "leaf" (the trailing digit). 

Here is the transcribed data from the stem-and-leaf plot:

```
Stem | Leaf
------------
  1  |   5
  2  |
  3  |
  4  |
  5  |   7
  6  |   2
  7  | 5, 1
  8  | 6, 4
  9  | 3, 6, 2
 10 | 4, 5, 1, 0
 11 |   2
 12 |   7
```

**Note:** Interpretation of "7 | 2 = 72" indicates that when the stem is 7 and the leaf is 2, the value represented is 72.

**Question for Analysis:**

The question accompanying the stem-and-leaf plot is:
*What is the value of the appropriate spread?*

The possible answers are:
- Standard Deviation = 27.5
- Standard Deviation = 26.56
- IQR = 27.5
- IQR = 114
- Standard Deviation = 47.5
- IQR = 29.5

**Explanation of Options:**

- **Standard Deviation**: Measures the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean of the set, while a high standard deviation means that the values are spread out over a wider range.

- **IQR (Interquartile Range)**: Measures the middle 50% of data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). The IQR is used to describe variability when the data has outliers or is not normally distributed.

In conclusion, to find the most appropriate spread, one needs to calculate the Standard De
Transcribed Image Text:**Educational Content: Analyzing Data Using Stem-and-Leaf Plots and Calculating Spread** **Stem-and-Leaf Plot Description:** The provided image contains a stem-and-leaf plot along with a question about interpreting data spread. This type of plot is used to represent quantitative data. It helps in understanding the shape, center, and spread of the data. Each number in the plot is split into a "stem" (the leading digit or digits) and a "leaf" (the trailing digit). Here is the transcribed data from the stem-and-leaf plot: ``` Stem | Leaf ------------ 1 | 5 2 | 3 | 4 | 5 | 7 6 | 2 7 | 5, 1 8 | 6, 4 9 | 3, 6, 2 10 | 4, 5, 1, 0 11 | 2 12 | 7 ``` **Note:** Interpretation of "7 | 2 = 72" indicates that when the stem is 7 and the leaf is 2, the value represented is 72. **Question for Analysis:** The question accompanying the stem-and-leaf plot is: *What is the value of the appropriate spread?* The possible answers are: - Standard Deviation = 27.5 - Standard Deviation = 26.56 - IQR = 27.5 - IQR = 114 - Standard Deviation = 47.5 - IQR = 29.5 **Explanation of Options:** - **Standard Deviation**: Measures the amount of variation or dispersion in a set of values. A low standard deviation means that the values tend to be close to the mean of the set, while a high standard deviation means that the values are spread out over a wider range. - **IQR (Interquartile Range)**: Measures the middle 50% of data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). The IQR is used to describe variability when the data has outliers or is not normally distributed. In conclusion, to find the most appropriate spread, one needs to calculate the Standard De
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