if we have the data:

5, 8, 15, 7, 10, 22, 3, 1, 15, 10
Calculate mean, median and mode
Mark all statements that are true

Let's calculate the mean, median, and mode step by step.

### Data Set:
\[ 5, 8, 15, 7, 10, 22, 3, 1, 15, 10 \]

### Step 1: Mean
The **mean** is the average of the numbers. We calculate it by summing all the numbers and dividing by the number of elements.

\[
\text{Mean} = \frac{5 + 8 + 15 + 7 + 10 + 22 + 3 + 1 + 15 + 10}{10}
\]
\[
\text{Mean} = \frac{96}{10} = 9.6
\]

### Step 2: Median
To find the **median**, we need to arrange the numbers in ascending order and find the middle value(s).

Ascending order: \[ 1, 3, 5, 7, 8, 10, 10, 15, 15, 22 \]

Since there are 10 values (an even number), the median is the average of the 5th and 6th values:
\[
\text{Median} = \frac{8 + 10}{2} = \frac{18}{2} = 9
\]

### Step 3: Mode
The **mode** is the number that appears most frequently.

In this data set, the number 15 and the number 10 both appear **twice**, so there are two modes: 10 and 15.

### Summary:
- **Mean**: 9.6
- **Median**: 9
- **Mode**: 10, 15 (bimodal)

Now, which statements are true depends on the specific statements provided. If you'd like to provide a set of statements, I can mark the true ones for you.

Do you want more details or have any questions?

### 5 Related Questions:
1. How do you calculate the range of this data set?
2. What is the variance and standard deviation of this data?
3. What happens to the mean, median, and mode if you add a new data point?
4. How does the presence of multiple modes affect data analysis?
5. What is the difference between mean and median in skewed distributions?

### Tip:
For symmetric distributions, the mean and median are usually very close or the same. However, in skewed distributions, they can differ significantly.

if we have the  5, 8, 15, 7, 10, 22, 3, 1, 15, 10, Calculate mean, median and mode

Learn how to calculate the mean, median, and mode for the data set 5, 8, 15, 7, 10, 22, 3, 1, 15, 10. This problem explores key statistical concepts such as measures of central tendency. Suitable for students in Grades 6-8.

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