Question

the boxplots represent the number of apples packed in boxes after picking from two different gardens.
garden a
garden b
which of the following statement is correct based on the boxplots above?
a. the minimum number of apples picked from garden a is greater than garden b.
b. the median of garden b is twice the median of garden a.
c. the upper quartile of garden a is same as the highest number of apples picked from garden b.
d. the interquartile range of both boxplots differ by 5.

Explanation:

Step1: Analyze Option A

The minimum of Garden A is greater than that of Garden B. From the box - plots, the minimum of Garden A is to the right of the minimum of Garden B on the number line.

Step2: Analyze Option B

Let's assume the median of Garden A is \(m_A\) and of Garden B is \(m_B\). From the box - plots, \(m_B
eq2m_A\).

Step3: Analyze Option C

The upper quartile of Garden A (\(Q_{3A}\)) and the maximum of Garden B (\(Max_B\)): \(Q_{3A}
eq Max_B\) as per the box - plot positions.

Step4: Analyze Option D

Let the inter - quartile range of Garden A be \(IQR_A=Q_{3A}-Q_{1A}\) and of Garden B be \(IQR_B = Q_{3B}-Q_{1B}\). From the box - plots, \(|IQR_A - IQR_B|
eq5\)

Answer:

A. The minimum number of apples picked from garden A is greater than garden B.