Pancyprian Examinations (Cyprus) · Mathematics

Statistics

6 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 6 questions

The data set $3, 5, 7, 8, 10, 12, 15$ is given. Using the median of the lower half and of the upper half (the overall median is excluded), what is the interquartile range?
Which of the following cannot be a value of the correlation coefficient $r$ ?
For $n$ pairs of data, $\overset{x}{ˉ} = 4$ , $\overset{y}{ˉ} = 10$ , $\frac{1}{n} \sum x y = 41$ , $s_{x} = 2$ and $s_{y} = 1.5$ . What is the correlation coefficient $r$ ?
The values $1, 2, 3, 4$ occur with frequencies $2, 5, 8, 5$ . What is the mean?
The mean of $10$ numbers is $12$ . One of the numbers, $20$ , is removed. What is the mean of the remaining $9$ numbers?
A data set has mean $50$ and standard deviation $8$ . Every value is multiplied by $2$ and then $5$ is added. What are the new mean and standard deviation?

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