Question

The students of class VIII have to choose among Yoga, Music, Art, Karate, and Dance as an activity. The given table shows the choice made by the girls and boys of class VIII.

Activity	Yoga	Art	Music	Karate	Dance
Girls	15	35	20	25	30
Boys	15	20	15	40	20

Which activity is most preferred by boys and by girls?

Answer 1

Hint: We are required to find that out of the given activities, which is most liked by the girls and the boys. To solve this question, we need to use the concept of bar graphs. We will prepare a bar graph separately for girls and boys taking a suitable scale. Then based on those graphs we will find which activity is most preferable.

Complete step-by-step answer:
Let us prepare the bar graph for the girls first.
We will plot the number of girls on the \[y\]-axis, and the various kinds of activities taken up by them on the \[x\]-axis.
Since our data is a factor of 5, we will take the scale as \[1{\rm{ unit}} = 5{\rm{ girls}}\]. This means that 1 unit on the \[y\]-axis will represent 5 girls.
We will then represent our data on the bar graph. On doing so we will obtain the following bar graph,

Now based on our above graph we can see that the bar that belongs to Art has the maximum height as compared to the other bars. This means that Art activity is performed by the greatest number of girls.
We will now prepare the bar graph for the boys.
We will plot the number of boys on the \[y\]-axis, and the various kinds of activities taken up by them on the \[x\]-axis.
Since our data is as a factor of 5, we will take the scale as \[1{\rm{ unit}} = 5{\rm{ boys}}\]. This means that 1 unit on the \[y\]-axis will represent 5 boys.
We will then represent our data on the bar graph. On doing so we will obtain the following bar graph,

Now based on our above graph we can see that the bar that belongs to Karate has the maximum height as compared to the other bars. This means that Karate activity is performed by the greatest number of boys.
Thus, based on the above bars we can conclude that Art as an activity is most preferred by girls, and Karate as an activity is most preferred by boys.


Note: The alternate method to solve this question can be as follows –
We can solve this question by drawing a double bar graph also. A double bar graph would save our time and energy to make two separate graphs.
We will plot the number of students on the \[y\]-axis, and the various kinds of activities taken up by them on the \[x\]-axis.
Since our data is as a factor of 5, we will take the scale as \[1{\rm{ unit}} = 5{\rm{ students}}\]. This means that 1 unit on the \[y\]-axis will represent 5 students.
We will then represent our data on the bar graph. We will use different colors for both bars to avoid confusion. On doing so we will obtain the following bar graph,

Now from the above graph, we can see that the Blue color represents girls. We can see that the blue bar belonging to the Art has the maximum height as compared to the other bars. This means that Art activity is performed by the greatest number of girls.
We can also see that the Orange color represents boys. We can see that the orange bar belonging to the Karate has the maximum height as compared to the other bars. This means that Karate activity is performed by the greatest number of boys.
Hence, we can conclude that Art as an activity is most preferred by girls, and Karate as an activity is most preferred