1.
A pie chart is used to compare
Correct Answer
B. Proportions within a population
Explanation
A pie chart is a visual representation that is used to compare the proportions within a population. It is particularly useful when trying to understand the distribution or composition of different categories within a whole. In this case, the pie chart would be used to compare the proportions of different categories within a population, such as the proportions of mince, steak, steak and cheese, and chicken pies. It is not used to compare percentages of continuous data, as that would typically be done using other types of charts or graphs.
2.
100% of a population is expressed as 360° rotation about the centre of a circle
Correct Answer
A. True
Explanation
In a circle, the total angle measure is 360 degrees. Therefore, if we consider the population as the entire circle, representing 100% of it, it can be expressed as a 360-degree rotation about the center of the circle. Hence, the statement is true.
3.
The size of the central angle of each data segment is
Correct Answer(s)
A. As a percentage of 360° the same percentage as the data is of the population
C. The same proportion of 360° as of the data in the population
Explanation
The correct answer is "as a percentage of 360° the same percentage as the data is of the population." This means that the size of the central angle for each data segment is determined by the percentage that the data represents in relation to the entire population. For example, if the data represents 20% of the population, then the central angle for that data segment would be 20% of 360°, which is 72°. This ensures that the visual representation accurately reflects the proportion of the data within the population.
4.
What angle would bikes have?
Correct Answer(s)
180
180°
180 degrees
Explanation
The given answer options all represent the same angle measurement of 180 degrees. In geometry, a straight angle measures 180 degrees, which means it forms a straight line. In the context of bikes, this could refer to the angle between the handlebars and the frame when the bike is moving in a straight line.
5.
If a subset had a population of 34 out of a total of 136, what angle would its pie chart segment have?
Correct Answer
C. 90°
Explanation
If a subset had a population of 34 out of a total of 136, the pie chart segment representing this subset would have an angle of 90°. This is because the angle of a pie chart segment is determined by the proportion of the subset's population to the total population. In this case, the subset represents approximately 25% of the total population, and since a full circle is 360°, 25% of 360° is equal to 90°. Therefore, the pie chart segment for this subset would have an angle of 90°.
6.
What percentage of 360° is an angle of 120°?
Correct Answer
B. 33⅓%
Explanation
An angle of 120° is one-third of a full circle, which is 360°. To find the percentage, we divide 120° by 360° and multiply by 100. This gives us 33⅓%.
7.
If 200 people had been surveyed about their transport, how many used the bus?
Correct Answer
12
8.
If 300 people had been surveyed about their transport, how many used a car?
Correct Answer
66
Explanation
The answer is 66 because the question states that 300 people were surveyed about their transport. The question does not provide any additional information or context, so it can be assumed that the answer represents the number of people who reported using a car as their mode of transport.
9.
To the nearest 5°, what is the size of the angle in the bike segment?
Correct Answer
120
120 degrees
120°
Explanation
The given answer options all represent the size of the angle in the bike segment as 120 degrees. This means that the angle in the bike segment is exactly 120 degrees when rounded to the nearest 5 degrees.
10.
To the nearest 5°, what is the size of the angle in the walk segment?
Correct Answer
40
40°
40 degrees
forty
forty degrees
Explanation
The given question asks for the size of the angle in the walk segment to the nearest 5°. The answer options provided all represent the same angle measurement of 40 degrees.
11.
If 500 people were surveyed, how many walked?
Correct Answer
55
fifty five
fiftyfive
Explanation
The question asks how many people walked out of the 500 surveyed. The answer options provided are "55," "fifty five," and "fiftyfive." All three options represent the same number, which is 55. Therefore, the correct answer is 55, as it indicates the number of people who walked out of the surveyed group of 500.