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Answer the following.
A school conducted an inter house quiz competition. The number of students who participated in the…
A school conducted an inter house quiz competition. The number of students who participated in the competition was 15. The scores of the children in the quiz competition were as follows:
$14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 22, 16, 19, 20$
Let $X$ be the random variable which represents the score of the students.
(i)[1.0]
Form a frequency table for the scores.
(ii)[2.0]
Prepare the probability distribution table of $X$. Verify if it is a valid probability distribution or not.
(iii)[2.0]
Find the expected score from the probability distribution table.
(iv)[1.0]
How many more marks are additionally required to attain the expected score of 20?
Answer
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From ISC 2026 Improvement Mathematics Paper 1, question 14.
Check your working with the Probability distribution calculator: find k, the mean, variance and standard deviation of a random variable, with the working table.