Let's go through the calculations step by step.

Data:

The given values are:
10, 12, 16, 18, 19, 23, 26, 27, 34, 36, 40, 43, 44, 47, 48, 50.

Step 1: Minimum and Maximum

• Minimum = 10
• Maximum = 50

Step 2: Range

Range is calculated as: $\text{Range} = \text{Maximum} - \text{Minimum} = 50 - 10 = 40$ So, the range is 40 (which you correctly mentioned).

Step 3: Mean

The mean is calculated by summing all the values and dividing by the total number of values (16 children in this case): $\text{Mean} = \frac{10 + 12 + 16 + 18 + 19 + 23 + 26 + 27 + 34 + 36 + 40 + 43 + 44 + 47 + 48 + 50}{16}$

Let me calculate this for you.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, here's how you can calculate the mean manually:

1. Add all the numbers: $10 + 12 + 16 + 18 + 19 + 23 + 26 + 27 + 34 + 36 + 40 + 43 + 44 + 47 + 48 + 50 = 513$

2. Divide the total sum by the number of values (16): $\text{Mean} = \frac{513}{16} = 32.06$

So the mean is approximately 32.06.

Step 4: Standard Deviation

Standard deviation measures the dispersion of the data. Here’s how you can calculate it:

1. Subtract the mean from each data point and square the result.
2. Find the average of those squared differences.
3. Take the square root of that average.

If you'd like help calculating the standard deviation manually, I can guide you through it.

Do you have any questions or want more details?
Here are some related questions to consider:

1. How does the standard deviation relate to the spread of the data?
2. What are other ways to measure variability in a dataset?
3. How do you interpret a high standard deviation in a dataset?
4. What is the difference between population and sample standard deviation?
5. Why is the mean sensitive to extreme values?

Tip: For accurate calculations involving larger datasets, consider using software like Excel or StatCrunch.