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LDU – Maths, Stats & Numeracy Support
Test Yourself – Graphs
For all the following graphs, 3 statements are true and 3 are false. List the
correct statements.
1)
a) This graph shows two linear equations.
5
b) This graph shows two quadratic equations.
3
c) The lines are parallel.
1
d) The lines are perpendicular.
-1 0 1 2 3 4 5
-5 -4 -3 -2 -1
e) The equations for these lines are:
-3
y = − 2x + 3
y = − 2x – 3
-5
f) The equations for these lines are:
y = 2x + 3
y = 2x – 3
Answers: __________________
2)
10
5
0
-5 -4 -3 -2 -1 0
-5
1
2
3
4
5
-10
a) The point where the lines cross is the
solution for the simultaneous equations.
b) The lines have different gradients.
c) The lines have the same gradient.
d) The y axis intercepts are 10 and -5
e) The x axis intercepts are 10 and -5
f) You cannot extend these lines any further.
Answers: ____________________
3)
5
4
3
2
1
0
-1
-5 -4 -3 -2 -1-2 0
-3
-4
-5
-6
-7
1
2
3
4
5
a) This graph shows a parabola.
b) This graph is never symmetrical.
c) When y = 0 there are two solutions to
this equation.
d) When y = 0 there is one solution to this
equation.
e) The general equation for this graph is:
y = ax2 + bx + c
f) The general equation for this graph is:
y = mx + c
Answers: ___________________
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4)
a) This box plot has whiskers.
b) This box plot has ears.
c) A box plot has infinite dimensions.
d) A box plot divides data into 4 sections.
e) Box plots show the range and median.
f) Box plots show the mean.
Answers: ____________________
5)
100
80
60
40
20
0
20
30
40
50
60
a) Cumulative frequency graphs use the
mean.
b) Cumulative frequency graphs use the
median.
c) If the graph is steep the data is more
spread out.
d) This graph is finite.
e) The interquartile range is about 13.
f) The range is 80.
Answers: ____________________
6)
a) This graph shows a normal distribution.
b) This graph shows a time series.
c) This graph is skewed.
d) This graph uses the mean and the
standard deviation.
e) This graph has whiskers.
f) This graph can be used to find
probabilities.
Answers: ____________________
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LDU – Maths, Stats & Numeracy Support
Test Yourself – Graphs
ANSWERS
1)
a) True: both of these lines are straight lines which are also called
linear.
b) False: quadratic graphs are parabolic and not straight lines.
c) True: these graphs have the same gradient so, they are parallel.
d) False: perpendicular graphs cross each other at a 90° angle.
e) True: these equations have negative gradients.
e) False: these equations have positive gradients.
2)
a) True: this is the graphical solution to simultaneous equations.
b) True: the red graph has negative gradient, the blue line has positive
gradient.
c) False: because the lines would be parallel otherwise.
d) True: the y axis is the vertical axis.
e) False: the x axis is the horizontal axis.
f) False: You can theoretically extend these lines to infinity.
3)
a) True: this is a quadratic graph, which also called a parabola.
b) False: Quadratic graphs are always symmetrical.
c) True: the solutions (roots) are at (1, 0) and (-2.5, 0).
d) False: there are 2 solutions to this equation.
e) True: this is the general equation for a quadratic graph.
f) False: this is the general equation for a linear graph.
4)
a) True: this is also known as a box and whisker plot.
b) False: this graph does not have ears.
c) False: box plots have upper and lower bounds.
d) True: these are known as quartiles.
e) True: the median is indicated by the line in the box, the upper and
lower bounds of the whiskers indicate the range.
f) False: you cannot determine the mean from a box plot.
5)
a) False: you cannot determine the mean from these graphs.
b) True: the median is approximately 37.
c) False: when the graph is steep the data is more compact.
d) True: the graph ends with the last data point.
e) True: it is approximately 45-32 which is 13.
f) False: the range is 60 – 20 which is 40
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6)
a) True: this is a bell curve, which is the graph of the normal
distribution.
b) False: a time series is a recording of measurements over time.
c) False: this graph is symmetrical; a skewed graph is never symmetrical.
d) True: the mean and standard deviation are parameters of the
normal distribution.
e) False: a box plot has whiskers.
f) True: this is the main use of a normal distribution.
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