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Mean, Median, and Mode Videos 18 videos
SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?
The geometric mean of two numbers is the square root of the product. Using proportions, you can set up ratios, cross multiply, and then simplify to...
ACT Math 6.5 Pre-Algebra 285 Views
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Description:
ACT Math: Pre-Algebra Drill 6, Problem 5. If one more data value of 55 is added to the data set, which values will change?
- Pre-Algebra / Simple descriptive statistics (mean, median, mode, range)
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Chinese Subtitled
- Pre-Algebra / Data collection, representation, and interpretation
Transcript
- 00:03
Here's your shmoop du jour:
- 00:05
If one more data value of 55 is added to the
- 00:07
below data set, which values will change?
- 00:12
And here are the potential answers...
- 00:16
OK so what is this question asking?
Full Transcript
- 00:18
Well, if we solved the previous problem, we know that the mean
- 00:22
of the original data set is 54...
- 00:25
...and the median and mode are both 55.
- 00:28
Okay, so the new 55 is going to stir the pot a bit.
- 00:31
But before we spend a ton of time doing a bunch more math, let's look at this logically.
- 00:35
Our median, the middle number... won't change.
- 00:38
55 was our median before, and since we're adding another one... it'll still be 55.
- 00:43
Same thing with mode. We already had more 55's than any other number... so adding
- 00:48
one more to the mix certainly won't change things.
- 00:51
Our mean was 54 in the last problem... by adding a 55, our mean is destined to go up
- 00:56
slightly...
- 00:58
So our answer is A.
- 00:59
As in, "All wet."
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