The height (cm) of six students have been recorded by a student for a math project: Heights: 164, 175, 126, 135, 159, 143, 55. Calculate the mean with 55 being the outlier

To calculate the mean height of the students, we need to add up all the heights and then divide by the number of students.

However, since the height **55 cm** is considered an outlier, we will exclude it from the calculation.

### Steps to Calculate the Mean Without the Outlier

1. **Identify the heights to include**: Since 55 cm is an outlier, we exclude it. The remaining heights are:  
   - 164, 175, 126, 135, 159, 143

2. **Calculate the sum of these heights**:

\[
164 + 175 + 126 + 135 + 159 + 143
\]

3. **Count the number of heights** considered: Since 55 cm is excluded, there are 6 heights.

4. **Calculate the mean**:

\[
\text{Mean} = \frac{\text{Sum of the included heights}}{\text{Number of included heights}}
\]

Let's calculate the sum and the mean.

\[
\text{Sum} = 164 + 175 + 126 + 135 + 159 + 143 = 902
\]

\[
\text{Mean} = \frac{902}{6} = 150.33 \, \text{cm}
\]

### Result

The mean height of the students, excluding the outlier (55 cm), is **150.33 cm**.

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Would you like more details on this calculation or have any other questions?

Here are some related questions you might find interesting:

1. How do you identify an outlier in a dataset?
2. What would the mean height be if all heights, including the outlier, were considered?
3. What is the median height of the students after excluding the outlier?
4. How does removing an outlier affect the standard deviation of the dataset?
5. How would the mean height change if another outlier were present?

**Tip**: When calculating the mean, always check for and consider outliers, as they can significantly skew the results.

Learn how to calculate the mean height of six students excluding the outlier 55 cm. Follow a step-by-step explanation with a detailed calculation. Suitable for Grades 6-8 students learning statistics.

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