MCQ

MCQ 11 Mark

The unit of correlation coefficient between height in feet and weight in kgs is

A
kg/feat
B
percentage
C
feat/kg
✓
non-existent

Answer

Correct option: D.

non-existent

D
Explanation:
As there is non-existent of correlation between the height in feet and weight in kilograms, so the unit of correlation between the two is zero.

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MCQ 21 Mark

The rank of 1 ^th quartile is

A
$\frac{n+1}{2}$
✓
$\frac{n+1}{4}$
C
$\frac{3(n+1)}{4}$
D
none of these

Answer

Correct option: B.

$\frac{n+1}{4}$

B
Explanation:
The rank of first quartile $Q_1=\frac{n+1}{4}$ i.e, 25%.

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MCQ 31 Mark

What percentile in 74 in is the following group of data (must be in order) ?
35, 65, 68, 100, 23, 69, 74, 61, 70, 98, 85, 55.

A
$60^{\text {th }}$
B
90^th
✓
75^th
D
27^th

Answer

Correct option: C.

75^th

C
Explanation :
Arrange the given data in ascending order, we get 23, 35, 55, 61, 65, 68, 69, 70, 74, 85, 95, 100
Here, total no. of observations, Y = 12
and score 74 is at the rank 9, so M = 9
Using formula,
$P R=\frac{M}{Y} \times 100=\frac{9}{12} \times 100=75^{\text {th }}$ percentile

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MCQ 41 Mark

If I tell you that you scored at the 55^th percentile on your final exam, you would know :

✓
55% of the class scored as good or worse than I did
B
I earned 55% on the exam
C
I failed the exam
D
45% of the class scored worse than I did

Answer

Correct option: A.

55% of the class scored as good or worse than I did

A
Explanation:
I earned 55% on the exam: A percentile is based on population, not actual score for example say 100 people took the test 25 got above 90, 20 got between 80 and 90, and you got 79, everybody else was lower would still produce this result. So, it could be true, but no necessarily.
I failed the exam: This can be wrong for the same reason as above,
45% of class scored worse than I did : It can't be 45% are worse than you, If you're better than 55%. This is totally wrong.
So, 55% of class scored as good or worse than I did is true.

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Applied Maths MCQ

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