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)
The population of a town over the years 2000-2007 is shown in the given figure.
It can be inferred that during 2000-2007,
The areas (in km²) under forests in four countries A, B, C and D for the years 2014 and 2024 are shown in the given bar chart:
The minimum percentage of deforestation during 2014-2024 was in country- Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
- The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
- The number of questions asked in shift I from the topic Profit-Loss is what percent more than the number of questions asked in shift II from the topic Average?
