Question

21 which boxplot matches the given frequency histogram? (a) (b) (c) (d)

Explanation:

Step1: Analyze the distribution of the histogram

The given histogram has values from \(0\) to \(7\). The box - plot should reflect the spread of these values.

Step2: Check the range and quartiles

The minimum value in the histogram is close to \(0\), the maximum is \(7\). In a box - plot, the whiskers represent the minimum and maximum (excluding outliers).

Step3: Compare with the box - plots

• Option (A): The lower whisker is too short compared to the spread in the histogram.
• Option (B): The box is centered in a way that does not match the histogram's spread.
• Option (C): The box is too low (values in the box are too small) compared to the histogram.
• Option (D): The lower whisker starts near \(0\), the box is in a position that can be consistent with the data spread in the histogram (assuming the quartiles are calculated correctly for the data that the histogram represents).

Answer:

D.