The length​ (in words) of seven articles from a particular newspaper are listed below. Find the​ mean, median, and mode of the​ following data: 1125

1276

1372

815

1275

1154

1229

To find the **mean**, **median**, and **mode** of the given data set, follow these steps:

### Data Set:
\[ 1125, 1276, 1372, 815, 1275, 1154, 1229 \]

### 1. Mean
The **mean** is the average of all the numbers in the data set.

\[
\text{Mean} = \frac{\text{Sum of all data points}}{\text{Number of data points}}
\]

\[
\text{Mean} = \frac{1125 + 1276 + 1372 + 815 + 1275 + 1154 + 1229}{7}
\]

\[
\text{Sum of the data points} = 815 + 1125 + 1154 + 1229 + 1275 + 1276 + 1372 = 9246
\]

\[
\text{Mean} = \frac{9246}{7} = 1320.86 \text{ (approximately)}
\]

### 2. Median
The **median** is the middle value when the data points are arranged in ascending order.

Arrange the data in ascending order:

\[ 815, 1125, 1154, 1229, 1275, 1276, 1372 \]

Since there are 7 data points, the median will be the 4th value in the sorted list:

\[
\text{Median} = 1229
\]

### 3. Mode
The **mode** is the value that occurs most frequently in the data set.

In this data set, all values are unique and appear only once. Therefore, **there is no mode**.

### Summary:
- **Mean**: \( 1320.86 \)
- **Median**: \( 1229 \)
- **Mode**: None (no mode)

Do you have any questions, or would you like further details on how these calculations were done?

Here are some related questions you might find useful:
1. How does the presence of outliers affect the mean, median, and mode?
2. How do you calculate the mean, median, and mode for grouped data?
3. Can a data set have more than one mode?
4. What is the difference between the arithmetic mean and the geometric mean?
5. How can you visualize the mean, median, and mode on a graph?

**Tip:** The median is often more representative of a typical value in a skewed distribution than the mean, especially in the presence of outliers.

Learn how to calculate the mean, median, and mode of a data set consisting of 1125, 1276, 1372, 815, 1275, 1154, and 1229. Understand the concepts and steps involved in finding these statistical measures. Suitable for Grades 7-9.

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