IB Diploma · Mathematics Aa

Statistics and probability

17 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 17 questions

The mean of five numbers is $24$ . Four of the numbers are $20, 22, 27, 26$ . What is the fifth number?
The mean of five numbers is $28$ . Four of the numbers are $23, 29, 24, 30$ . What is the fifth number?
The mean of five numbers is $23$ . Four of the numbers are $18, 28, 26, 26$ . What is the fifth number?
The mean of five numbers is $25$ . Four of the numbers are $19, 29, 21, 22$ . What is the fifth number?
The mean of five numbers is $15$ . Four of the numbers are $12, 9, 11, 16$ . What is the fifth number?
The mean of five numbers is $28$ . Four of the numbers are $32, 29, 33, 27$ . What is the fifth number?
What is the median of the data set $14, 49, 24, 17, 20$ ?
What is the median of the data set $28, 43, 3, 30, 11$ ?
What is the median of the data set $25, 21, 33, 22, 28$ ?
What is the median of the data set $47, 15, 56, 50, 5$ ?
A bag holds $2$ red, $3$ blue and $2$ green marbles. One marble is picked at random. What is the probability it is red?
A bag holds $4$ red, $8$ blue and $6$ green marbles. One marble is picked at random. What is the probability it is red?
A bag holds $6$ red, $4$ blue and $5$ green marbles. One marble is picked at random. What is the probability it is red?
A bag holds $8$ red, $5$ blue and $2$ green marbles. One marble is picked at random. What is the probability it is red?
$X$ is normally distributed with $P (X < 20) = 0.2$ and $P (X > 32) = 0.1$ . What is the standard deviation of $X$ , to $3$ significant figures?
$X \sim B (12, 0.3)$ . What is $P (X \geq 3)$ , to $3$ significant figures?
A bag holds $3$ red, $4$ blue and $3$ green marbles. One marble is picked at random. What is the probability it is red?

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