17	17	18	18	19
19	20	20	20	21
21	21	21	22	23
24	26	28	29	29
30	32	32	32	33
35	37	38	40	52
Using the data of all the ages of everyone in the class, find the following:
a. Mean

b. Median

c. Mode(s)

d. Standard Deviation

e. Range

f. Q1

g. Q3

h. IQR

i. Make a boxplot (modified boxplot that shows outliers, if any)

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j. Is the data symmetric or skewed? If skewed, which way?

symmetric
right-skewed
left- skewed

Here are the results based on the data of ages provided:

### a. Mean:
The mean age is approximately **26.47**.

### b. Median:
The median age is **23.5**.

### c. Mode(s):
The mode (most frequent age) is **21**.

### d. Standard Deviation:
The standard deviation is approximately **8.23**.

### e. Range:
The range is **35** (52 - 17).

### f. Q1 (First Quartile):
Q1 (25th percentile) is **20.0**.

### g. Q3 (Third Quartile):
Q3 (75th percentile) is **32.0**.

### h. IQR (Interquartile Range):
The IQR is **12.0** (32 - 20).

### i. Boxplot:
A boxplot has been generated showing the data distribution, including potential outliers.

### j. Symmetry/Skewness:
The data is **right-skewed** (mean > median), meaning there are more values on the lower end with a few larger values pulling the mean upwards.

Would you like more details or have any questions?

Here are 5 follow-up questions:
1. How is the standard deviation affected by extreme values (outliers)?
2. What does the interquartile range tell us about the spread of the middle 50% of the data?
3. How would removing outliers impact the skewness of the data?
4. What can the mode tell us about the typical age in the dataset?
5. How does the range of a dataset differ from the interquartile range?

**Tip:** The standard deviation helps understand how much individual data points deviate from the mean on average.

Using the data of all the ages of everyone in the class, find the following: a. Mean, b. Median, c. Mode(s), d. Standard Deviation, e. Range, f. Q1, g. Q3, h. IQR, i. Make a boxplot (modified boxplot that shows outliers, if any), j. Is the data symmetric or skewed? If skewed, which way?

Analyze class age data using statistical measures like mean (26.47), median (23.5), mode (21), standard deviation (8.23), and more. Learn how to interpret the data distribution with a boxplot and determine if the data is skewed (right-skewed in this case). Suitable for Grades 10-12 students.

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