In a class of 60, the passing mark for a mathematics test is that 3rd quartile. What does this imply?
a. 45 students did not passed the test
b. 25% of the students passed the test
c. 25 students passed the test
d. all of the above
Answers
Answer:
b. 25% of the students passed the test
Given : In a class of 60, the pa ssing mark for a mathematics test is that 3rd quartile.
To Find : Correct option
a. 45 students did not pa ssed the test
b. 25% of the students pa ssed the test
c. 15 students pa ssed the test
d. all of the above
Solution:
Q₁ - 1st Quartile / lower quartile represent 25 % of data below this
Q₂ - 2nd quartile / Median represent 50 % of data below this
Q₃ - 3rd Quartile / upper quartile represent 75 % of data below this
pa ssing mark for a mathematics test is that 3rd quartile.
Hence 75 % students are below pa ss marks
so 100 - 75 = 25 % students pa ssed
number of students pa ssed = (25/100) 60 = 15
Number of students did not pa ss = 60 - 15 = 45
Hence all of the above are correct :
45 students did not pa ssed the test
25% of the students pa ssed the test
15 students pa ssed the test
all of the above
Learn More:
Given : In a class of 60, the pa ssing mark for a mathematics test is that 3rd quartile.
To Find : Correct option
a. 45 students did not pa ssed the test
b. 25% of the students pa ssed the test
c. 15 students pa ssed the test
d. all of the above
Solution:
Q₁ - 1st Quartile / lower quartile represent 25 % of data below this
Q₂ - 2nd quartile / Median represent 50 % of data below this
Q₃ - 3rd Quartile / upper quartile represent 75 % of data below this
pa ssing mark for a mathematics test is that 3rd quartile.
Hence 75 % students are below pa ss marks
so 100 - 75 = 25 % students pa ssed
number of students pa ssed = (25/100) 60 = 15
Number of students did not pa ss = 60 - 15 = 45
Hence all of the above are correct :
45 students did not pa ssed the test
25% of the students pa ssed the test
15 students pa ssed the test
all of the above
Learn More:
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