Question

What is the five-number summary of this data set? {403, 276, 649, 786, 274, 189, 654, 652, 572} Drag the numbers into the boxes to correctly complete the five-number summary.

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Answer 1

Minimum: 189

Maximum: 786

Median: 572

Lower quartile: 275

Upper quartile: 653

Explanation:

Listing the numbers in order from least to greatest, we have: 189, 274, 276, 403, 572, 649, 652, 654, 786.

From this, we can see that the smallest (minimum) value is 189, and the largest (maximum) value is 786.

We can find the the median by taking off a number from each side of the number set one by one. When done, we can see that the number in the middle is 572, so that is our median.

To find the upper and lower quartiles, split the number set in half where the median lies and find the median of those two sections.

Q1: 189, 274, 276, 403

274 + 276 = 550

550 ÷ 2 = 275

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Q3: 649, 652, 654, 786

652 + 654 = 1306

1306 ÷ 2 = 653

So, the lower quartile range is 275, and the upper quartile range is 653.

hope this helps!