ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

ACT Math 6.5 Pre-Algebra 285 Views

Share It!

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?

Language:

English Language

Subjects:

Tags:

Common Core Standards:

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?

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."
Full Transcript