Question

The following two box and whiskers graphs show the prices of gadgets (in $\$$) in two different electronic stores.



Choose the correct option for the following two questions:

• A.
  1. Store B has gadgets of larger price range.
  2. Median of store A and store B are $\$95$ and $\$90$ respectively.
• B.
  1. Store A has gadgets of larger price range.
  2. Median of store A and store B are $\$90$ and $\$95$ respectively.

Answer 1

The correct option is A

1. Store B has gadgets of larger price range.
2. Median of store A and store B are $\$95$ and $\$90$ respectively.

First, let's find out the extremes and quartiles for each of the two stores.
Store A Store B Lower extreme Upper extreme Lower quartile Middle quartile Upper quartile

$65$	$60$
$110$	$120$
$75$	$70$
$95$	$90$
$105$	$110$

1. Which store has gadgets of a larger price range?

$\bullet$ Range of prices at store A
$=\text{Upper extreme}-\text{lower extreme}$
$=\$110-\$65=\$45$

$\bullet$ Range of prices at store B
$=\text{Upper extreme}-\text{lower extreme}$
$=\$120-\$60=\$60$

$\therefore$ Store B has gadgets of larger price range as compare to store A.

2. What is the median price of gadgets in each of the two stores?

The median prices of two stores are the respective the middle quartiles, i.e., the markings inside each boxes.

$\therefore$ Median price of store A and store B are $\$95$ and $\$90$, respectively.

Hence, the option (a.) is the correct one.