INTERPRETING LINE GRAPHS

Definition of line graph :

A line graph is a graph that is used to display change over time as a series of data points connected by straight line segments on two axes.

Interpreting the line graph :

There will be two quantities, one quantity will be presented in the x-axis and another quantity will be presented in y-axis.

By understanding the line graph, we have to answer the questions given.

Problem 1 :

Below is a line graph that shows how many books are sold in a charity shop over one week.

interpreting-line-graph-q1

(a) On which day did the charity shop sell the most books ?

(b) On which day did the charity shop sell the least books ?

(c) How many books were sold on Tuesday ?

Solution :

(a) On Thursday the charity shop has sold the most books.

(b) On Saturday the charity shop has sold the least books.

(c) 80 books were has sold on Tuesday.

Problem 2 :

Below is a line graph that shows the population of a village.

interpreting-line-graph-q2

(a) What was the population in 1980 ?

(b) In which year was the population 700 ?

The population is expected to increase by 120 by 2020.

(c) Work out the expected population in 2020.

Solution :

(a)

interpreting-line-graph-s2-a

So, the population in 1980 is 760.

(b)

interpreting-line-graph-s2-b

In the year 1970, the population is 700.

The population is expected to increase by 120 by 2020.

(c) 2010 the population in 990.

990 + 120 = 1110

So, the expected population in 2020 is 1110.

Problem 3 :

The table shows the average price of unleaded petrol in England over 5 years.

interpreting-line-graph-q3-1

(a) Draw a line graph for the data.

interpreting-line-graph-q3-2

(b) Between which two consecutive years did the price increase the most ?

Solution :

(a)

interpreting-line-graph-s3-a

(b) Two consecutive years is 2011 and 2012.

Problem 4 :

The table shows the percentage of the vote that the Purple Party received in six general elections.

interpreting-line-graph-q4
interpreting-line-graph-q4-1

Solution :

interpreting-line-graph-s4-1

Problem 5 :

The table shows the value of a share in a mobile phone company over one day.

interpreting-line-graph-q5

Draw a line graph for the data.

interpreting-line-graph-q5-1

Solution :

interpreting-line-graph-s5-1

Problem 6 :

The table shows the number of customers each lunchtime at an ice cream parlour.

(a) Draw a line graph for the data.

interpreting-line-graph-q6
interpreting-line-graph-q6-1

(b) On which day did the ice cream parlour have the most customers ?

(c) Work out how many customers visited the ice cream parlour in total.

(d) Give a possible reason why there were only 3 visitors to the ice cream parlour on Wednesday.

Solution :

(a)

interpreting-line-graph-s6-1

(b) Tuesday in the ice cream parlour have the most customers.

(c)  Total customers = 42 + 47 + 3 + 36 + 40 + 31

= 199

Hence,  199 customers visited the ice cream parlour.

(d) Rain /snow = weather related

Power cut etc = early closing of store

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