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Data Analysis, Statistics, and Probability Videos 36 videos

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TSI Math: Changing the Mean by Adding New Data to a Set 33 Views


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Description:

Aarif is a basketball coach. At practice today, he measured the height in inches of each player on his basketball team. The measurements are shown below. However, two players didn't show up to practice today. What is the maximum number of inches by which the median height could change once he adds the two missing players to the data?
60, 65, 66, 69, 70, 71, 72, 75, 76, 76, 77, 78, 80


Transcript

00:02

Here we go another question Probability In data tables arief

00:06

is a basketball coach At practice Today he measured the

00:08

height in inches of each player on his basketball team

00:11

The measurements are shown below however to players did not

00:14

show up to practice today What is the maximum number

00:19

of inches by which the medium height could change once

00:22

he adds the two missing players to the data All

00:27

right so interesting Here is the data table in sixty

00:29

All the way through eighty thirteen players have already had

00:32

their heights measured The medium height of these thirteen players

00:35

is seventy two inches because while seventy two is the

00:37

middle number yet six feet tall well the two missing

00:40

players could have any height They could be the two

00:42

shortest players on the team to tallest players on the

00:45

team or anywhere in between Note that extreme values affect

00:48

the median the most so let's Suppose the two missing

00:51

players are both fifty nine inches tall In that case

00:54

the middle number ships one place to the left to

00:57

seventy one inches Now let's see what would happen if

00:59

the two missing players were both eighty one inches tall

01:03

or the media and then shift one place to the

01:05

right this time to seventy five inches eh But larger

01:08

of these two changes was from seventy two to seventy

01:10

five for a change of three inches At most the

01:14

two missing players could change the median by three inches 00:01:18.164 --> [endTime] so the answer is c booth

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