In: Statistics and Probability
Mindset Quiz
Mindset is the way that we approach learning and finding solutions. With a fixed mindset, people assume that there’s a “best way” to find a solution, and that they a specific amount of ability to learn. With a growth mindset, you realize that there are many good ways to find solutions, and that you can always learn more and become better. A higher score on the mindset quiz means that the student has more of a growth mindset. In these examples, the units are points.
Student |
Pretest |
Post-test |
A |
33 |
42 |
B |
39 |
38 |
C |
39 |
37 |
D |
39 |
42 |
E |
40 |
42 |
F |
41 |
53 |
G |
48 |
46 |
H |
48 |
52 |
I |
48 |
44 |
Sum: |
A higher score on the mindset quiz means that the student has more of a growth mindset. In these examples, the units are points.
6. Compute the mean of the mindset quiz scores for the Post-test.
Show your numerator and denominator.
7. What is the mode of the Post-test mindset quiz scores?
8. What is the median of the Post-test mindset quiz scores?
9. Based on the mean, median, and mode, do you think the Post-test distribution is positively skewed, negatively skewed, or not skewed?
10. Knowing that a higher score on the mindset quiz means that the student has more of a growth mindset, and knowing the mean, median, and mode and what the distribution looks like, what do you think about the group of students who took the Post-test?
Q.6
Q.7
Q.8
Q.9
mean < median < mode : Negative skewness
mean > median > mode : positive skewness
mode = median = mean : symmetry
Here mean = 44
Median = 42
Mode = 42
Here mean is greater than Median and mode. So post-test
distribution is positively skewed.
Q.10
Post-test shows positively skewed distribution, the mean is greater
than the median because the few high mindset quiz scores tend to
shift the mean to the right.