The remaining digit or digits for each value
Spiegazione
The leaf is the part of the value written beside the stem, usually the units digit or digits. The stem groups the values by their leading digits.
To make the plot easier to read quickly
Spiegazione
Ordered leaves let the data be read left to right in size order. This makes the plot quicker to interpret.
The bars touch each other
Spiegazione
Histogram bars touch because each class interval covers a continuous range of values with no gaps. Gaps would suggest separate categories, not continuous data.
Frequency density
Spiegazione
With unequal class widths, frequency density is used so that the area of each bar matches the frequency. Using height alone would give misleading results.
Median
Spiegazione
The median is the central value in an ordered data set. If there is an even number of values, it is found by averaging the two middle values.
It is multimodal
Spiegazione
A data set with multiple most-frequent values is multimodal. The mode is the value, or values, that occur most often.
Q3 minus Q1
Spiegazione
The interquartile range is the spread between the first quartile and the third quartile, so IQR = Q3 − Q1. It measures the spread of the middle 50% of the data.
First quartile and third quartile
Spiegazione
The box itself runs from Q1 to Q3, so its edges show the lower and upper quartiles. The line inside the box shows the median.
Overlapping circles
Spiegazione
Venn diagrams show events using overlapping circles, which makes intersections easy to see. A tree diagram is the representation that uses branches.
They are multiplied together
Spiegazione
In a tree diagram, probabilities along a single path are multiplied to find the probability of that combined outcome. This is how multi-step events are calculated.
0.68
Spiegazione
The complement is found by subtracting the event probability from 1, so 1 - 0.32 = 0.68. The value 0.32 is the original event probability, not its complement.
Add their probabilities
Spiegazione
Mutually exclusive events cannot happen together, so the probability of A or B is P(A) + P(B). Multiplication is used for independent events, not mutually exclusive ones.
n × n
Spiegazione
A square number is written as n squared, meaning n multiplied by itself. The other expressions do not represent repeated multiplication.
2 × 3 × 3
Spiegazione
Prime factorization breaks a number into only prime factors, and 18 = 2 × 3 × 3. The other choices still include non-prime factors or are not a prime factorization.
The side opposite the 90° angle
Spiegazione
The hypotenuse is the side opposite the 90° angle, and it is the longest side. The two sides meeting at the right angle are the legs.
10 cm
Spiegazione
Using Pythagoras’ theorem, c^2 = 6^2 + 8^2 = 36 + 64 = 100, so c = 10 cm. The other options come from incorrect arithmetic or rule use.
360°
Spiegazione
A quadrilateral has four sides, and its interior angles add to 360°. A triangle, by contrast, has an interior angle sum of 180°.
Divide the angle sum by the number of sides
Spiegazione
For a regular polygon, each interior angle is the total interior angle sum divided by the number of sides. This works because all angles are equal in a regular polygon.
Their corresponding angles are equal and side lengths are proportional
Spiegazione
Similar shapes have the same angles and proportional corresponding sides. They do not have to be the same size, so they are not necessarily congruent.
Sine
Spiegazione
Sine is defined as opposite over hypotenuse. Cosine is adjacent over hypotenuse, and tangent is opposite over adjacent.
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Stem and leaf plot — purpose?
Displays ordered data using stems and leaves.
Stem — role?
Represents the leading digit(s) of data.
Leaf — role?
Represents the remaining digit(s) of data.
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