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Data Analysis, Statistics, and Probability Videos 36 videos
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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
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI Math / Data Analysis, Statistics, and Probability
- Test Prep / TSI
- TSI Mathematics / Data Analysis, Statistics, and Probability
- TSI / TSI Math
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI / TSI Mathematics
- Test Prep / TSI
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
Full Transcript
- 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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