There is a table of flowers prepared for sale. Twelve flowers are 10 inches tall,

MATHEMATICSSAT 2021

There is a table of flowers prepared for sale. Twelve flowers are 10 inches tall, five are 12 inches tall, and four are 15 inches tall. What is the median height of these flowers?

  • A. 15 in
  • B. 10 in
  • C. 11 in
  • D. 12 in

Correct Answer: B. 10 in

Explanation

The easiest way to do this is first to find the total number of flowers: 12+5+4=21 Now, the median element is the middle term. To find the middle, you can divide 21 by 2: 21/2=10.5 Since you have an odd number of elements, you unsurprisingly get a fraction. This means that there 10 items to the left of the median and 10 to its right. The 11th term is your median. Now, your group of flowers looks like this: 1-12: 10 inches 13-17: 12 inches 18-21: 15 inches The 11th item is going to be in that first group, meaning that the median is 10 inches. If you prefer to write out all of the terms, it will be: 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 15, 15, 15, 15

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