From the box plot visible in the image, let us analyze and solve the given questions:

1. 50% of the shows have a rating greater than:

   • The median of the box plot represents the value where 50% of the data is greater and 50% is less. Based on the box plot, the median is approximately 15.5.
   • Answer: 15.5

2. What is the percentage of shows that have a rating of less than 20?

   • The value 20 is above the third quartile (Q3). Since each quartile divides the data into 25% chunks:
     • 75% of the data lies below 20 (Q3 includes 75%).
   • Answer: 75%

3. Within which interval of rating would you expect to find the largest number of shows?

   • The largest concentration of data is represented by the interquartile range (IQR), which spans from Q1 to Q3 (10–20 in this plot). This range includes 50% of the data.
   • Answer: 10–15

If you'd like detailed steps or further clarifications on how these conclusions were drawn, let me know!

Related Questions:

1. What does the interquartile range (IQR) indicate in this box plot?
2. How do you calculate the percentage of data within specific quartiles?
3. Why is the median a good measure for identifying central tendency in box plots?
4. How do box plots show outliers in datasets?
5. How is a box plot's spread related to variability in data?

Tip:

Box plots are particularly useful for quickly identifying the range, median, and variability of data. Always check the length of the box and whiskers to assess distribution spread.