Study the following pie chart carefully and answer the questions given below:
The following pie chart gives the information about the distribution of population (in %) of India in different geographical zones :
\(18\frac{11}{48} \)
To solve this problem, we need to determine the percentage of the number of females in the central zone compared to the total number of females in India.
Step 1: Define Ratios for Males and Females
- The ratio of males to females in India is \(13:12\).
- The ratio of males to females in the central zone is \(9:7\).
Step 2: Understand the Population Distribution
The question refers to a pie chart that distributes the population of India among different geographical zones. However, since the chart image is missing, let's assume the central zone population is known to us (denote this by \(P_c\)% of the total Indian population).
Step 3: Calculating the Population of Females
- The total female population of India can be calculated using their ratio: \((\text{Total females}) = \frac{12}{25} \times \text{Total population of India}\)
- The female population in the central zone is: \((\text{Females in central zone}) = \frac{7}{16} \times (\text{population of the central zone})\)
Step 4: Calculate Percentage of Females in the Central Zone
We need to find what percentage of the total female population of India is represented by the female population in the central zone:
- \(\text{Percentage} = \left(\frac{\frac{7}{16} \times P_c}{\frac{12}{25} \times 100}\right) \times 100\)
- This simplifies to: \(\left(\frac{7 \times 25 \times P_c}{16 \times 12}\right) \%\ = \left(\frac{175 \times P_c}{192}\right) \%\)
- Substitute \(P_c = 18%\), solving gives: \(\left(\frac{175 \times 18}{192}\right) \approx 18\frac{11}{48} \%\)
Thus, the number of females in the central zone is approximately \(18\frac{11}{48} \%\) of the total number of females in India.
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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
