ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Statistics Videos 87 videos
Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?
Statistics, Data, and Probability II Drill 3 Problem 2. Which two sports together make up for the preferences of more than half of all those w...
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?
- 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."
Related Videos
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
Statistics, Data, and Probability I: Drill Set 3, Problem 4. How many different avatars can be created based on the given options?