Question

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?

Answer 1

SOLUTION 6: Mean ˉx=∑x/n

=(42+38+37+42+42+53+46+52+44)/9

=396/9

=44

SOLUTION 7: Mode :
In the given data, the observation 42 occurs maximum number of times (3)

∴MODE=42

SOLUTION 8: Median :
Observations in the ascending order are :
37,38,42,42,42,44,46,52,53

Here, n=9 is odd.

M= value of (n+1/2)th observation

= value of (9+1/2)th observation

= value of 5th observation

=42

SOLUTION 9: SINCE MEAN IS GREATER THAN MEDIAN THEREFORE DATA IS POSITIVELY SKEWED.

10) THE STUDENTS WHO TOOK THE TEST SHOWING more of a growth mindset.