# Exercise 13.2 class 8 solution

### Exercise 13.2 class 8 solution – what is a line graph

A line graph, also known as a line chart, is a type of data visualization that is used to represent and display data points over a continuous interval or time series. Line graphs are particularly useful for showing how one variable (often called the dependent variable) changes in relation to another variable (usually the independent variable) as it progresses in a sequential order. Here are the key characteristics and components of a line graph:

Continuous Data Representation: Line graphs are best suited for data that varies continuously, such as data points collected at regular time intervals or data along a continuous range. The x-axis typically represents the independent variable, which is usually time, distance, or another continuous variable.

Data Points: Data is plotted as points on the graph, with each point representing a specific measurement or observation. These points are marked using dots, crosses, or other symbols.

Lines: The data points are connected with straight lines. These lines show the progression and trends in the data. By connecting the data points, line graphs allow for the visualization of how the dependent variable changes as the independent variable increases or decreases.

Axis Labels: The x-axis and y-axis are labeled with titles that describe what each axis represents. The labels often include units of measurement.

Title: The graph typically has a title that provides an overview of what the graph represents. It may also include a brief description of the data.

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13.2

Exercise 4.1 class 8 solution

Exercise 3.2 class 8 solution

Exercise 2.3 class 8 solution

Exercise 13.1 class 8 solution

### Exercise 13.2 class 8 solution- line graph examples

A line graph displays data that changes continuously over periods of time for example when a person fell sick, the doctor maintains a record of his or her body temperature, taken after every fixed interval of time. Study the following table. It’s Pictorial representation is known as time-temperature graph.

Timings shows on x-axis and temperature on y-axis.

Plot the points (6,102), (8, 100), (10, 101), (12, 100), (2,99), (4,98), (6,98)

What does this graph tell you? For example

you can see the pattern of highest temperature at 6am then decreased till 8m then again increased upto 10 am, then decreased upto 4p.m and then remained constant upto 6p.m

Example 13.5 Study the graph shown in figure 13.10

(i)What information the graph shows?

(ii) What is the time when temperature is 99″ F?

(iii) The temperature was same two times during the given period what are the times ?

(iv) What is the temperature at 6p.m.?

solve.(i)The graph shows the body temperature of a person recorded after every 2 hours.

(ii)The temperature is 99Â° F at 10 am.

(iii) The temperature was same at 12 noon and 4.00 p.m.

(iv) The temperature is 97.5Â° F at 6 p.m.

Example 13.6 The given graph (13.11) describes the distance of a car from a city A at different times when it was travelling from city A to city B which are 500km apart. Study the graph and answer the following.

.(i) When the car started its journey?

(ii)How far did the car go in the first hour?

(iii) Did the car stop for some duration during its journey? For what time duration the car stopped?

(iv) When the car reached at B?

(v) What was the total distance traveled by car in first five hours?

Sol. (i)The car started from point A at 8 a.m.

(ii)he car travelled 100 km in first hour

(III)Yes, the car stopped during the journey. It stopped from 11 am to 1p.m. as no distance is travelled between these hours.

(iv) The car reached at point B at 3p.m.

(v) The total distance travelled in first five hours is upto 1 p.m. is 300km.

Example 13.7. The given graph (fig 13.12) represents the total runs scored by two batsman A and B during each of the five different matches in 2017. Study the graph and answer the following.

(1) What information is given on the two axes?

(ii) Which line shows the run scored by batsman B?

(iii) Whether in any match batsman A and B scored same run.

(iv) Which player is more consistent? (Give Reason)

solve.(i)The horizontal axis (or x-axis) indicates the matches played during year 2017 and the vertical axis (y-axis) shows the run scored by two batsman.

(ii) Dark line Red

(i) No

(iv) Batsman B is more consistent. As graph of batsman A has very ups and downs, where as batsman B shows almost medium performance in all five matches.