Select the correct answer.

The ages of the people who attend a weekly yoga class at the local yoga studio are shown in the table below.

43

52

35

27

26

51

48

36

42

37

62

44

50

26

40

30




Which data display(s) can be used to find the median for the ages of the yoga students?

I.

box plot

II.

dot plot

III.

histogram

To find the median of the ages, you can use a **box plot** or a **dot plot**, but not a **histogram**. Let's briefly explain why:

1. **Box Plot (I):** A box plot is specifically designed to show the median, quartiles, and range of a data set. The median is the line inside the box.

2. **Dot Plot (II):** A dot plot displays individual data points and allows you to count and find the middle value directly, so you can determine the median.

3. **Histogram (III):** A histogram shows the distribution of data across intervals but does not allow you to directly determine the median, as it does not display individual data points or the specific order of values.

Thus, the correct answers are:

- **I. Box Plot**
- **II. Dot Plot**

The correct answer is: **I and II**.

Would you like details or have any questions?

Here are some related questions you might find helpful:
1. How is the median calculated from a box plot?
2. What is the difference between a dot plot and a histogram?
3. How can you identify quartiles on a box plot?
4. Why can't a histogram be used to find the exact median?
5. How can outliers affect the median in a box plot?
6. What are some advantages of using a dot plot?
7. How can you use a cumulative frequency graph to find the median?
8. What is the interquartile range, and how is it represented in a box plot?

**Tip:** When interpreting data, consider the type of plot that best displays the measure you're interested in, like the median or mean.

Explore how to find the median in a data set using different visual displays like box plots and dot plots. Understand why histograms are not suitable for finding the exact median. Ideal for high school students studying statistics and data visualization.

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