A survey was conducted asking students from Years 5, 6, 7 and 8 what eye colour they have. The results are shown below using divided bar graphs:
Which grade has the largest percentage of brown-eyed children?
Which grade has the largest percentage of blue-eyed children?
Which grade has the smallest percentage of hazel-eyed children?
Which grade has no green-eyed children?
Which grade has the same percentage of green-eyed children as blue-eyed children?
The weight (in kilograms) of a group of men and women were recorded and presented in the stem and leaf plot below:
Calculate the mean weight of the group of men. Round your answer to one decimal place.
Calculate the mean weight of the group of women. Round your answer to one decimal place.
Which group is heavier, on average?
| Weight of men | Weight of women | |
|---|---|---|
| 5 | 0\ 1\ 2\ 3\ 4\ 4\ 4\ 5\ 5\ 5\ 7 | |
| 9\ 8\ 8\ 7\ 6\ 6\ 6\ 5\ 3 | 6 | 0\ 2\ 2\ 3\ 4\ 7\ 7\ 8 |
| 6\ 4\ 3\ 2\ 2\ 1\ 0\ 0\ 0\ 0 | 7 | 0 |
| 0 | 8 |
Key: 2 \vert 6 \vert 0 = 62 \text{ and }60
The following bar graph shows the changes in tourism rates in different cities during 2011 and 2012:
Which city had the highest percentage of tourism in 2011?
Which city had the lowest percentage of tourism in 2012?
Which city had the highest percentage tourism in a single year?
Which city/cities had the lowest percentage tourism in a single year?
How much higher is Paris's percentage of tourism in 2011 than that of London in 2012?
Paris' maximum percentage of tourism over the two years is higher than Istanbul's maximum by how many percent?
The data below represents how long each student in two different classes could hold their breath for, to the nearest second:
Ms. Smith's class: 56,\, 36,\, 15,\, 64,\, 47,\, 45,\, 65,\, 55,\, 15,\, 29,\, 32,\, 23,\, 50,\, 67,\, 37
Mr. Stevens's class: 53,\, 15,\, 33,\, 47,\, 10,\, 35,\, 61,\, 46,\, 26,\, 43,\, 57,\, 24,\, 44,\, 17,\, 69
Display the data on a back to back stem and leaf plot.
Who teaches the student who can hold their breath the longest?
To determine which class has the stronger breath hold capacity, which measure of average would be most appropriate to use? Explain your answer.
A stationery shop kept a weekly record of the number of pens and notebooks sold:
Find the number of pens sold on Tuesday.
Find the number of notebooks sold on Friday.
Find the total number of notebooks sold during the week.
Find the total number of pens sold during the week
Find the percentage of pens sold on Thursday, rouding your answer to two decimal places.
Calculate the mean number of notebooks sold per day. Round your answer to one decimal place.
Calculate the mean number of pens sold per day. Round your answer to one decimal place.
Which is the better selling product? Justify your answer.
The median house price in the suburb of Humbleton is \$950\,000 with a mean price of \$1\,000\,000 and the median house price in the suburb of Brockway is \$950\,000 with a mean price of \$880\,000.
Which suburb is more likely to have very expensive houses? Explain your answer.
The data below shows the results of a survey conducted on the price of concert tickets locally and the price of the same concerts at an international venue:
What was the most expensive ticket price at the international venue?
What was the median ticket price at the international venue?
What percentage of local ticket prices were cheaper than the international median?
At the international venue, what percentage of tickets cost between \$90 and \$110 (inclusive)?
At the local venue, what percentage of tickets cost between \$90 and \$100 (inclusive)?
| Local | International | |
|---|---|---|
| 7\ 5\ 2\ 2 | 6 | 0\ 5 |
| 9\ 6\ 5\ 4\ 0 | 7 | 2\ 3\ 8\ 8 |
| 9\ 6\ 5\ 3\ 0 | 8 | 2\ 3\ 7\ 8 |
| 8\ 7\ 4\ 3\ 1 | 9 | 0\ 1\ 6\ 7\ 9 |
| 5 | 10 | 0\ 2\ 3\ 5\ 8 |
Key: 6|1|2 = \$16 \text{ and }\$12
The beaks of two groups of bird are measured, in millimetre, to determine whether they might be of the same species. The measurements are shown below:
Group 1: 33,\, 39,\, 31,\, 27,\, 22,\, 37,\, 30,\, 24,\, 24,\, 28
Group 2: 29,\, 44,\, 45,\, 34,\, 31,\, 44,\, 44,\, 33,\, 37,\, 34
Calculate the range for Group 1.
Calculate the range for Group 2.
Calculate the mean for Group 1.
Calculate the mean for Group 2.
Do you think the two groups of birds are the same species? Explain your answer.
The ages of employees at two competing fast food restaurants on a Saturday night are recorded. Some statistics are given in the following table:
If the data for Berger's Burgers was represented using a column graph, would it be positively or negatively skewed?
Which restaurant has the oldest employee on the night the data is recorded?
Which restaurant has the most consistent ages among employees? Explain your answer.
Which restaurant has an older workforce? Explain your answer.
| Mean | Median | Range | |
|---|---|---|---|
| Berger's Burgers | 18 | 17 | 6 |
| Fry's Fries | 18 | 19 | 2 |
Two English classes, each with 15 students, sit a 10-question multiple choice test. Their class results, out of 10, are below:
Class 1: 3, \,2, \,3, \,3, \,4, \,5, \,1, \,1, \,1, \,4, \,2, \,2, \,3, \,3, \,2
Class 2: 8, \,9, \,9, \,8, \,8, \,6, \,8, \,10, \,6, \,8, \,8, \,9, \,6, \,9, \,9
Calculate the following (correct to one decimal place where necessary), for Class 1:
The mean
The median
The mode
The range
Calculate the following (correct to one decimal place where necessary), for Class 2:
The mean
The median
The mode
The range
Which class was more likely to have studied for their test? Explain your answer.
The hours of sleep per night for two people over a two week period are shown below:
Person A: 8, \,5, \,10, \,7, \,9, \,7, \,6, \,10, \,6, \,9, \,7, \,7, \,10, \,5
Person B: 8, \,8, \,8, \,7, \,7.5, \,8, \,7.5, \,7, \,7, \,7, \,7.5, \,7, \,7, \,7.5
Calculate the following (correct to one decimal place where necessary) for Person A:
The mean
The median
The mode
The range
Calculate the following (correct to one decimal place where necessary) for Person B:
The mean
The median
The mode
The range
Which person is the least consistent in their sleep habits? Explain your answer.
Which person has the most sleep over the 14 nights? Explain your answer.
The salaries of men and women working the same job at the same company are given below:
Men: \$80,000,\, \$80\,000,\, \$75\,000,\, \$80\,000,\, \$75\,000,\, \$70\,000,\, \$80\,000
Women: \$70\,000,\, \$70\,000,\, \$75\,000,\, \$70\,000,\, \$70\,000,\, \$80\,000,\, \$75\,000
Calculate the following for the men:
The mean
The median
The mode
The range
Calculate the following for the women:
The mean
The median
The mode
The range
Who seems to be getting the higher salary, the men or the women? Explain your answer.