Question

Nine students in Mr. Ruiz's class all took a spelling test. Raw scores can range between 0 (0%) and 10 (100%). Their scores are listed below.

Student	Raw Score
A	4
B	5
C	*5*
D	6
E	6
F	6
G	7
H	7
I	8

The class mean is 6, median is 6 , mode is 6 , range is 4 , and standard deviation is 1.1(round to one decimal place).

Look at Student C's score. The score is in the 33 th percentile rank (round to the nearest integer). Its Z score is -0.90 (round to two decimal places, e.g., if you got 0.553, enter .55 or 0.55). Its T score is 41 (round to one decimal place, e.g., if you got 67.38, enter 67.4).

Nine students in Mr. Sotelo's class all took a spelling test. Raw scores can range between 0 (0%) and 10 (100%). Their scores are listed below.

Student	Raw Score
J	2
K	3
L	4
M	4
N	*5*
O	6
P	10
Q	10
R	10

The class mean is 6 , median is 5 , mode 10 is , range is 8 , and standard deviation is 3.2 (round to one decimal place).

Look at Student N's score. The score is in the 50 th percentile rank (round to the nearest integer). Its Z score is -0.33(round to two decimal places). Its T score is -0.9 (round to one decimal place).

QUESTION:

What if a 60% correct score was used as a criterion to determine success (i.e., to pass the test, you have to earn 60% or above)? First you need to obtain a score (between 0 and 10) that is equal to 60% of the answers being correct -- this is the criterion. What proportion (%) of students in each class would meet that criterion?  (round to the nearest integer, e.g., if you got 67.3%, enter 67)

Mr. Ruiz's class:_____ % (Round to the nearest integer)

Mr. Sotelo's class: _____- % (Round to the nearest integer)

Answer 1

$For~Mr.~Ruiz's~class\\ Students~D,~E,~F,~G,~H,~I~got~at~least~60\%~scores~and~the~total~students~in\\ Mr.~Ruiz's~class=9\\ Mr.~Ruiz's~class,~the~proportion=(6/9)*100=67 \%\\ Similarly~for~Mr.~Sotelo's~class=(4/9)*100=44\%$