Statistical Charts and Scatter Diagrams — Solutions
Full worked solutions, with method and final answer for every part.
Question 1
(a)As one variable increases, the points show the other variable also tending to increase, so the points slope upward from bottom-left to top-right, roughly following a straight-line trend.
Points trend upward left-to-right; as x increases, y tends to increase
Question 2
(a)A pie chart shows each category's proportion of the whole total at a glance, which a bar chart (showing raw frequency) does not directly show.
A pie chart immediately shows the proportion each category makes up of the total
Question 3
(a)As one variable increases, the other tends to decrease, so points slope downward from top-left to bottom-right.
Points trend downward left-to-right; as x increases, y tends to decrease
Question 4
(a)A line graph is better for showing how a continuous quantity changes over time (e.g. temperature over a day).
Showing change over a continuous variable such as time
Question 5
(a)No clear upward or downward trend indicates no correlation.
No correlation
Question 6
(a)A line of best fit summarises the trend in the data, and can be used to estimate/predict values between or beyond the plotted points.
It shows the overall trend and allows estimation of values not directly plotted
Question 7
(a)Angle = (part/total) × 360°.
(45/180) × 360 = 90°
Question 8
(a)A pie chart shows proportions clearly but makes it hard to read off the exact frequency of each category, unlike a bar chart with a labelled frequency axis.
Exact frequencies are harder to read from a pie chart than from a bar chart
Question 9
(a)No correlation means there is no clear relationship between the two variables — the points are scattered with no obvious upward or downward trend.
There is no clear relationship/trend between the two variables
Question 10
(a)A bar chart has a labelled frequency axis, so exact values can be read directly, whereas a pie chart only shows proportions of the whole.
A bar chart's axis allows exact frequencies to be read directly
Book a free trial class
Tell us a little about your requirement.