ESAT (Engineering and Science Admissions Test) · Mathematics 1

Statistics

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

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All 5 questions

The mean of five numbers is $12$ . A sixth number, $18$ , is added. What is the mean of all six numbers?
The data set $3, 5, 7, 8, 10, 12, 13, 15, 20$ is split into halves by excluding the median. What is the interquartile range?
In a histogram, the bar for the class $10 \leq x < 30$ has height $1.5$ on the frequency density axis. How many items are in that class?
A frequency table shows the scores $1, 2, 3, 4$ with frequencies $4, 7, 6, 3$ . What is the median score?
Every value in a data set is multiplied by $3$ and then $5$ is added. The original mean is $m$ and the original standard deviation is $s$ . What are the new mean and standard deviation?

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