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)
- Answer the question on the basis of the informations given below :
Three different climatic factors for four cities in India are shown in the following table :City Average Annual Rainfall (in mm) Average Annual Temperature (in degree centigrade) Maximum humidity in the year A 75 21 126 B 86 17 130 C 68 17 160 D 70 24 150
If humidity factor is defined as average annual rainfall divided by average annual temperature for the cities, the humidity factor is highest for which city ? The pie charts show placement percentages of graduates of five different subjects out of the total campus placements for two consecutive years.
In the year 2024, the number of Maths students who got placed was the double that of the previous year. Which of the following is the closest to the percentage change in the number of Life Sciences students placed in the year 2024?The following ternary figure shows the marks obtained by students A, B and C in an exam of 100 marks. Here, C received 10 marks in Physics, 50 marks in Chemistry and 40 marks in Mathematics.
Which one of the following is CORRECT?The Sankey diagram shows food preferences of males and females. The widths of the bands are proportional to numbers of persons opting for a given food item.
Which one of the following is an INCORRECT statement about the food preferences?The following figure shows densities and masses of five objects (A to E).
The object with the largest volume is _____
