Question

In: Statistics and Probability

Mindset Quiz Mindset is the way that we approach learning and finding solutions. With a fixed...

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?

Solutions

Expert Solution

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.


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