What is the average value of $y$ for the range of $x$ shown in the following plot?
To find the average value of \( y \) for the given range of \( x \) from the plot, we need to understand the graph and calculate the average value over the specified interval.
From the plot, we can observe:
- When \( x = -1 \), \( y = 2 \).
- When \( x = 0 \), \( y = 1 \).
- When \( x = 1 \), \( y = 2 \).
The function appears to be a V-shaped graph due to these points, indicating it’s a piecewise linear function.
The average value of \( y \) can be calculated as the mean of the values at these critical points:
\[\text{Average } y = \frac{2 + 1 + 2}{3}\]Simplifying this expression:
\[\text{Average } y = \frac{5}{3} = 1.5\]Hence, the average value of \( y \) over the range of \( x \) is 1.5.
Therefore, the correct answer is 1.5.
Important Questions from Data Interpetation (Notes)
Contours in the bivariate (weight, height) graph connect regions of approximately equal popula-tions. Which of the following interpretations is correct?
The function $f(x)$ is plotted against $x$ as shown. Extrapolate and find the value of the function at $x = -1$.
Which of the following inferences can be drawn from the above graph?
Number of times a research paper is viewed and cited is shown in the plot. In which month was the percentage increase in citation more than the double of the percentage increase in view?
- There are two examinations, A and B in a subject which are evaluated out of 30 and 70 marks, respectively. In order to pass the course the student has to get at least 40 % in total and at least 40 % in B. The following are the marks of the students $S_1$ to $S_4$.
Students A B $S_1$ 12 28 $S_2$ 10 29 $S_3$ 16 27 $S_4$ 05 29
The only student/s to have passed is/are
