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SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?
SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...
Mean, Median, and Mode 20201 Views
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Description:
Did they really have to make them all start with an M?
- Pre-Algebra / Simple descriptive statistics (mean, median, mode, range)
- Statistics / Median
- Statistics / Mode
- Statistics and Probability / Summarize, represent, and interpret data on a single variable
- Statistics and Probability / Summarize, represent, and interpret data on a single variable
- Statistics and Probability / Summarize, represent, and interpret data on a single variable
- Statistics and Probability / Summarize, represent, and interpret data on a single variable
Transcript
- 00:04
Mean, Median and Mode, a la Shmoop.
- 00:07
Dr. Bozo Bizarro… it’s his given name, we swear… has been having some… technical difficulty.
- 00:13
His time machine has been going completely haywire. [Dr Bizarro electrocuted by a time machine]
- 00:16
In the last 24 hours, he has visited each of these years, in this order:
- 00:22
As a dedicated mad scientist, he must record and analyze all data. [Person scribbling data on a notepad]
Full Transcript
- 00:27
According to his data of all the years he has visited, which of these are true?
- 00:32
The mean is 2170…
- 00:33
The median is 2170…
- 00:35
or the mode is 2170?
- 00:37
Here are your choices:
- 00:40
First things first – mode. Because it’s the easiest. [Father and child eating ice cream]
- 00:44
Mode is all about frequency – how often does a particular number occur in a series?
- 00:49
So… which year did Dr. Bizarro visit most often?
- 00:53
Wouldn’t you know it? That “2170” pops up three times on his list – more than any other. [2170 circled three times in a list and hand holding up three fingers appears]
- 00:59
So we know that number three is true. So that can let us cross off answers A and C off our list.
- 01:05
Next up is the mean. Which is a fancy word for average. [Hand snatches lollipop from a baby and baby cries]
- 01:08
Total all of the dates in your calculator, and divide by the number of years visited, which is 15.
- 01:15
Did you get something around 2143? We did, too. It’s not looking good for number one… [Calculations for the mean]
- 01:20
…so we can eliminate answer choice D.
- 01:23
To find our answer, we’ll need to find the median. [Car speeding down a road]
- 01:25
A median, just like a median you’d find on a street, is about what’s in the middle.
- 01:31
First, let’s put all our years in chronological order. [Selection of years placed in chronological order]
- 01:34
Locate the year in the exact middle of the list.
- 01:38
It’s 2170 again… which means that numbers two and three are true…
- 01:44
…and our answer is “E.”
- 01:45
Anyways, Dr. Bizarro has to admit, 2170 was not a bad year to spend so much time visiting. [Dr Bizarro in space]
- 01:51
It’s the year that his Cubs finally win the World Series. [Dr Bizarro in space and baseball hits his head]
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