Question

An artist sold 10 paintings. Her first two sold for $50 and $350. She sold three at a gallery show for $250, $400 and $1,200. She sold her oil paintings on line for $410, $400 and $375. Family members bought two, one for $200 and another for $280. What is the IQR of the selling price of her paintings?

Answer 1

250-400

Explanation:

Answer 2

• 150

Explanation:

There are 10 numbers representing the selling prices of paintings.

List the numbers in the ascending order:

• 50, 200, 250, 280, 350, 375, 400, 400, 410, 1200

Median of the lower half is:

• 50, 200, 250, 280, 350 ⇒ Q1 = 250

Median of the upper half is:

• 375, 400, 400, 410, 1200 ⇒ Q3 = 400

The IQR is the difference between the upper and lower medians:

• IQR = Q3 - Q1 =
• 400 - 250 = 150