The dual line chart below shows the number of books loaned from a library by male and female adults each day for a week.
Work out the mean number of books loaned per day by males during this particular week.
We need the number of books from the males (red line) for each of the five days and then find their mean.
Mean number of books loaned per day by males is 12.8
Work out the median number of books loaned by women per day by females during this particular week.
We need the number of books from the females (blue line) for each of the five days.
12, 15, 12, 16, 12
To find the median, these will need to be put into ascending order, then the middle value found.
12, 12, , 15, 16
The median number of books loaned per day by females is 12
Determine whether the males or females had the greater range of books loaned per day during this particular week.
Using the lists/values from the parts a) and b) ...
The males had the greater range of books loaned per day
(5 compared to 4 so their range was 1 book higher)
The diagram below shows the temperatures, measured in °C, for each day of one week in the summer in the UK.
Find
the modal temperature,
the mean temperature for the week,
the range of temperatures for the week.
The modal (mode) temperature is the temperate that occurred during the week more than any other. Look for the temperature that occurred on the most number of days. Notice this is not the same as the highest temperature.
The modal temperature is 9 °C
The mean needs calculating.
Mean temperature for the week is 10 °C
The range also needs working out.
Range of temperature for the week is 3 °C
For a different week in the UK, the following data is available.
Mean temperature (°C) | Range of temperatures (°C) |
11 | 2.5 |
Compare the temperatures for the two different weeks.
Two pairs of comments - first pair comparing the means, second pair comparing the range.
The mean in the second week (11 °C) was 1 °C higher than the mean in the first week (10 °C)
On average, the temperature in the second week was higher than in the first week
The range in the first week (3 °C) was 0.5 °C higher the range in the second week (2.5 °C)
The temperatures were more spread out in the first week
State one assumption that should be made about the two weeks' temperatures so that comparisons are valid.
Consider the information - or lack of - given in the question. We are told when the first weeks' temperatures were collected but are not told anything in this respect for the second week.
The two weeks' temperatures were recorded at a similar time of year
e.g. both in the spring, or both in the same month