Question

question 16 (5 points)

a set of data consists of the numbers:

481, 572, 398, 614, 518, 475, 661, 362, 524, 715

find the five-number summary for the data.

362, 481, 521, 614, 715
362, 475, 524, 661, 715
362, 475, 521, 614, 715
362, 398, 518, 661, 715

Explanation:

Sort the dataset in ascending order

$$ 362, 398, 475, 481, 518, 572, 614, 661, 715 \quad (\text{Wait, let's recount the original numbers}) $$

Original numbers:

$$ 481, 572, 398, 614, 518, 475, 661, 362, 524, 715 \quad (N = 10) $$

Sorted dataset:

$$ 362, 398, 475, 481, 518, 524, 572, 614, 661, 715 $$

Calculate the median, minimum, and maximum

$$
LATEXBLOCK0
$$

Calculate the first and third quartiles

Lower half (first 5 values):

$$ 362, 398, 475, 481, 518 \implies Q_1 = 475 $$

Upper half (last 5 values):

$$ 524, 572, 614, 661, 715 \implies Q_3 = 614 $$

Five-number summary:

$$ 362, 475, 521, 614, 715 $$

Answer:

• (A) 362, 481, 521, 614, 715
• (B) 362, 475, 524, 661, 715
• (C) 362, 475, 521, 614, 715 (Correct answer)
• (D) 362, 398, 518, 661, 715