Question

A survey was conducted to ask the students about their favourite after school activity and the information collected was tabulated as shown in the attachment

Construct a bar graph to represent the above data. Study the bar graph and answer the following questions.

a. What is the scale used along the vertical axis?

b. How many students were surveyed in all?

c. How many students preferred indoor games?

d. Which activity is preferred by the least number of students?

e. How many students do not like to play any games after school?

f. What per cent of the total number of students prefer to visit friends after school?

Answer 1

${\large{\bold{\sf{\underline{REQUIRED \; ANSWER:-}}}}}$

Steps for the construction of the bar graph -

1. Mark the activities along the horizontal axis leaving equal gaps between two consecutive markings.

2. Represent the number of students on the y-axis on a suitable scale.

3. Construct rectangular bars whose bases are formed by the activities shown on the x-axis and heights correspond to the respective number of students.

The bar graph obtained is shown in the attachment

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

NOW LET'S ANSWER THE QUESTIONS !!

a. What is the scale used along the vertical axis?

→ 2 small divisions represent 5 students.

b. How many students were surveyed in all?

→ Total number of students surveyed = 175 + 150+ 125+75+125 +50= 700

c. How many students preferred indoor games?

→ Number of students who preferred indoor games = 75

d. Which activity is preferred by the least number of students?

→ Read books is preferred by the least number of students

e. How many students do not like to play any games after school?

→ Number of students who do not like to play any games after school = 175 + 150+ 125 + 50 = 500 or 700 - 125 - 75 = 500

f. What per cent of the total number of students prefer to visit friends after school?

→ Percentage of students who prefer to visit friends after school = 175 / 700 x 100% = 25%

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

⠀

||━━━━━━━━━━━━━━━━━━━━━━||

⭐ ADDITIONAL INFORMATION ⭐

||━━━━━━━━━━━━━━━━━━━━━━||

⠀

BAR GRAPH -

A bar graph is a pictorial representation of the ungrouped numerical data in which

1. bars of a uniform width are drawn on one axis (say, x-axis) depicting the variables.

2. space between consecutive bars is equal.

3. the values of the variables are shown on the other axis (say, y-axis).

4. the height of the bars depends upon the values of the variables.

5. the width of the bars have no significance, The width of the bars simply enables us to visualise the relative character of the data at a glance.

Answer 2

Answer:

1. Mark the activities along the horizontal axis leaving equal gaps between two consecutive markings.

2. Represent the number of students on the y-axis on a suitable scale.

3. Construct rectangular bars whose bases are formed by the activities shown on the x-axis and heights correspond to the respective number of students.

The bar graph obtained is shown in the attachment

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

NOW LET'S ANSWER THE QUESTIONS !!

a. What is the scale used along the vertical axis?

→ 2 small divisions represent 5 students.

b. How many students were surveyed in all?

→ Total number of students surveyed = 175 + 150+ 125+75+125 +50= 700

c. How many students preferred indoor games?

→ Number of students who preferred indoor games = 75

d. Which activity is preferred by the least number of students?

→ Read books is preferred by the least number of students

e. How many students do not like to play any games after school?

→ Number of students who do not like to play any games after school = 175 + 150+ 125 + 50 = 500 or 700 - 125 - 75 = 500

f. What per cent of the total number of students prefer to visit friends after school?

→ Percentage of students who prefer to visit friends after school = 175 / 700 x 100% = 25%

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

⠀

||━━━━━━━━━━━━━━━━━━━━━━||

⭐ ADDITIONAL INFORMATION ⭐

||━━━━━━━━━━━━━━━━━━━━━━||

⠀

BAR GRAPH -

A bar graph is a pictorial representation of the ungrouped numerical data in which

1. bars of a uniform width are drawn on one axis (say, x-axis) depicting the variables.

2. space between consecutive bars is equal.

3. the values of the variables are shown on the other axis (say, y-axis).

4. the height of the bars depends upon the values of the variables.

5. the width of the bars have no significance, The width of the bars simply enables us to visualise the relative character of the data at a glance.