Statistical Charts and Scatter Diagrams (Solutions)

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.