Option B. is correct. Using box plot, the statement that apply to movie A is the ages are more consistent.
What is box plot?
A box plot is "a special type of diagrams that shows quartiles in a box and the lines extending from the lowest to the highest value".
According to the question,
The box plot shows ages of randomly sampled attendees at two different movies.
- The statement A. The range of the ages are greater. This statement is false because in the box plot movies A is range is 35 (subtract highest value from lowest value) that is not greater. Thus, this statement is false.
- Statement B. The ages are more consistent. This statement is true. To find consistency in box plot using hypotheses test we get consistency. Thus, the ages are more consistent.
- Statement C: Using value in box plot the interquartile range is Q₃ - Q₁. Where Q₃ - Q₁ = 42.5 - 17.5 = 25. Thus statement is false.
- Statement D: In box plot the median ages of attendees are greater. This statement is false.
Hence, the ages are more consistent in box plot shows age of randomly sampled attendees at two different movies.
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