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interpreting a box - and - whisker plot use the box - and - whisker plo…

Question

interpreting a box - and - whisker plot
use the box - and - whisker plot,to answer the following.
(a) what is the median number of customers?
(b) what is the smallest number of customers?
(c) what is the first quartile ($q_1$) of the numbers of customers?

Explanation:

Step1: Recall box - and - whisker plot components

In a box - and - whisker plot:

  • The line inside the box is the median.
  • The left - most end of the whisker is the minimum value.
  • The left - hand side of the box is the first quartile (\(Q_1\)).

Step2: Identify values from the plot

  • Median (\(Q_2\)): Looking at the line inside the box, it is at \(30\).
  • Minimum (smallest value): Looking at the left - most end of the whisker, it is at \(10\).
  • First quartile (\(Q_1\)): Looking at the left - hand side of the box, it is at \(27\).

Answer:

(a) \(30\)
(b) \(10\)
(c) \(27\)