Let's analyze the box-and-whisker plot to calculate the probabilities.

The plot represents stock prices with key values at:

• Minimum: 14
• First quartile (Q1): 25
• Median: 35
• Third quartile (Q3): 57
• Maximum: 92

Now, we will determine the probabilities for each part:

(a) Probability the stock price is less than $25:

The minimum value is 14, and Q1 is 25. Since 25 is the first quartile, 25% of the data is below this value.

Thus, the probability is 0.25.

(b) Probability the stock price is between $25 and $57:

From Q1 to Q3 (25 to 57) represents the interquartile range, which contains 50% of the data.

Thus, the probability is 0.50.

(c) Probability the stock price is $35 or more:

To calculate this:

• The median is 35, meaning 50% of the data is greater than or equal to this value.

Thus, the probability is 0.50.

If you have any questions or need further details, feel free to ask!

Related questions:

1. How do you interpret the interquartile range in a box plot?
2. What is the importance of the median in statistical data?
3. How would the probabilities change if the stock prices followed a normal distribution?
4. Can a box-and-whisker plot show the exact distribution of data points?
5. What other measures of central tendency are useful in analyzing stock prices?

Tip: The box-and-whisker plot is especially useful for quickly identifying the spread and central tendency of data in a visual format.