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STATISTICS - Jamb Mathematics Past Questions and Answers

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Jamb Mathematics Past Questions

Jamb Past Questions and Answers on STATISTICS

Question 176:


The variance of the scores 1, 2, 3, 4, 5 is

A. 1, 2
B. 1, 4
C. 2.0
D. 3.0


Question 177:


\(\begin{array}{c|c} \text{Class Interval} & Frequency & \text{Class boundaries} & Class Mid-point \\ \hline 1.5 - 1.9 & 2 & 1.45 - 1.95 & 1.7\\ 2.0 - 2.4 & 21 & 1.95 - 2.45 & 2.2\\ 2.5 - 2.9 & 4 & 2.45 - 2.95 & 2.7 \\ 3.0 - 2.9 & 15 & 2.95 - 3.45 & 3.2\\ 3.5 - 3.9 & 10 & 3.45 - 3.95 & 3.7\\ 4.0 - 4.4 & 5 & 3.95 - 4.45 & 4.2\\ 4.5 - 4.9 & 3 & 4.45 - 4.95 & 4.7\end{array}\)
Find the mode of the distribution above to find the mode of the distribution.

A. 3.2
B. 3.3
C. 3.7
D. 4.2


Question 178:


\(\begin{array}{c|c} \text{Class Interval} & Frequency & \text{Class boundaries} & Class Mid-point \\ \hline 1.5 - 1.9 & 2 & 1.45 - 1.95 & 1.7\\ 2.0 - 2.4 & 21 & 1.95 - 2.45 & 2.2\\ 2.5 - 2.9 & 4 & 2.45 - 2.95 & 2.7 \\ 3.0 - 2.9 & 15 & 2.95 - 3.45 & 3.2\\ 3.5 - 3.9 & 10 & 3.45 - 3.95 & 3.7\\ 4.0 - 4.4 & 5 & 3.95 - 4.45 & 4.2\\ 4.5 - 4.9 & 3 & 4.45 - 4.95 & 4.7\end{array}\)
The median of the distribution above is

A. 4.0
B. 3.4
C. 3.2
D. 3.0


Question 179:


Let p be a probability function on set S, where S = (a1, a2, a3, a4). Find P(a1) if P(a2) = \(\frac{1}{3}\), p(a3) = \(\frac{1}{6}\) and p(a4) = \(\frac{1}{5}\)

A. \(\frac{7}{3}\)
B. \(\frac{2}{3}\)
C. \(\frac{1}{3}\)
D. \(\frac{3}{10}\)


Question 180:


A die has four of it's faces coloured white and the remaining two coloured black. What is the probability that when the die is thrown two consecutive time, the top face will be white in both cases?

A. \(\frac{2}{3}\)
B. \(\frac{1}{9}\)
C. \(\frac{4}{9}\)
D. \(\frac{1}{36}\)






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