Karen Morrison and Nick Hamshaw Solutions for Exercise 1: Exercise 12.1

Andrew and Barbara recorded the number of minutes that they watch the television for $8$ days.

Andrew: $38 10 65 43 125 225 128 40$

Barbara: $25 15 10 65 90 300 254 32$

Find the median number of minutes spent watching television for each of Andrew and Barbara.

Andrew and Barbara recorded the number of minutes that they watch the television for $8$ days.

Andrew: $38 10 65 43 125 225 128 40$

Barbara: $25 15 10 65 90 300 254 32$

Find the mean number of minutes spent watching television for each of Andrew and Barbara.

Find a list of five numbers with a mean that is larger than all but one of the numbers.

A keen ten pin bowlers plays five rounds in one evening. His scores are $98,64,103,108 \text{and} 109$. Which average (mode, mean or median) will he choose to report to his friends at the end of the evening?

If the mean height of $31$ children is $143.6 \mathrm{cm}$, calculate the sum of the heights used to calculate the mean.

The mean temperature of $10$ cups of coffee is $89.6° \mathrm{C}$. The mean temperature of a different collection of $20$ cups of coffee is $92.1° \mathrm{C}$. If the mean temperature of all $30$ cups of coffee is $k° \mathrm{C}$ then find $k$ correct upto tenth decimal place.

Find a set of five numbers with mean five, median four and mode four.

Find a set of five different whole numbers with mean five and median four.