Study the given graph and answer the question that follows. The graph shows the number of students involved in

Question

Study the given graph and answer the question that follows.

The graph shows the number of students involved in different after-school activities.

[Graph: Line chart plotting 'After school activities' (Y-axis: 0, 5, 10, 15, 20, 25, 30) against 'Activities' (X-axis: Sports, Study, Dance, Yoga, Watching TV). Data points: Sports=25, Study=15, Dance=10, Yoga=15, Watching TV=20.]

What is the average number of students participating in Sports and Yoga? Diagram

Examoogle · Accepted Answer

The correct answer is Option B: 20. Since there are only two values, simply find the midpoint between 15 and 25 by adding them and dividing by 2: $(25 + 15) / 2 = 40 / 2 = 20$.

Step-by-Step Solution & Concepts:
Shortcut Trick: Since there are only two values, simply find the midpoint between 15 and 25 by adding them and dividing by 2: $(25 + 15) / 2 = 40 / 2 = 20$.

Formula Used: $$Average = \frac{	ext{Sum of values}}{	ext{Number of values}}$$

Given: From the line graph, the number of students in Sports = 25 and the number of students in Yoga = 15.

Steps: Identify required values: From the graph, identify the number of students for the activities requested: Sports is $25$ and Yoga is $15$.. Apply Average formula: Calculate the sum of students in these two activities and divide by the total count (2).. Calculate final result: Adding the values gives $25 + 15 = 40$. Dividing by 2 yields $40 / 2 = 20$.

Answer: B is correct because the average of 25 and 15 is calculated as (25 + 15) / 2 = 20.

Exam Tip: In data interpretation, always read the labels on the X and Y axes carefully to ensure you are selecting the data for the correct categories before performing any arithmetic operations.

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