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Q2(ii):
The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.
(ii) In the classroom discuss what conclusions can be arrived at from the graph.
The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.
(ii) In the classroom discuss what conclusions can be arrived at from the graph.
Solution :
Analytical Framework: Data Interpretation
To derive meaningful conclusions from the provided dataset representing the number of girls per thousand boys across six societal sections, we must first structure the data into a tabular format for comparative analysis.
| Section | Girls per 1000 Boys |
|---|---|
| Scheduled Caste (SC) | 940 |
| Scheduled Tribe (ST) | 970 |
| Non SC/ST | 920 |
| Backward Districts | 950 |
| Non-Backward Districts | 920 |
| Rural | 930 |
| Urban | 910 |
Step 1: Comparative Statistical Analysis
We analyze the variance between the maximum and minimum values to understand the skewness in sex ratio distribution.
- Maximum Value ($V_{max}$): $970$ (Scheduled Tribes)
- Minimum Value ($V_{min}$): $910$ (Urban areas)
- Range ($R$): $V_{max} - V_{min} = 970 - 910 = 60$
[Per the definition of Range in statistics, this indicates a moderate degree of disparity across the segments.]
Step 2: Deriving Sociological Conclusions
Based on the quantitative data provided, the following academic conclusions are established:
- The Highest Favorable Ratio: The Scheduled Tribe (ST) category exhibits the highest ratio of girls per thousand boys ($970$). This suggests a socio-cultural environment where, statistically, the parity between genders is more pronounced compared to other sections.
- Urban Disparity: The Urban sector records the lowest ratio ($910$). This counters the common assumption that higher economic development in urban centers automatically correlates with better gender ratios. This suggests potential social or economic factors—such as access to selective technologies or migration patterns—that may negatively influence the female-to-male ratio in cities.
- Regional Disparity (Backward vs. Non-Backward): Backward districts show a higher ratio ($950$) compared to Non-Backward districts ($920$). [By Comparative Data Analysis, this indicates that the index of economic advancement (Non-Backward) is not positively correlated with the sex ratio in this context.]
- Overall Trend: Across all categories, the number of girls per thousand boys is consistently below $1000$. This confirms a nationwide deficit in the female-to-male ratio across all analyzed sections of Indian society.
Visual Representation of Trend
Final Solution: The data reveals a systemic shortfall of girls relative to boys across all societal sections, with a maximum ratio of $970$ in Scheduled Tribes and a minimum ratio of $910$ in Urban areas, indicating that economic categorization does not guarantee a balanced sex ratio.
More Questions from Class 9 Mathematics Statistics EXERCISE 12.1
- Q1(i): A survey conducted by an organisation for the cause of illness and death among the women between the ages $15 - 44$ (in years) worldwide, found the following figures (in %) (i) Represent the information given above graphically.
- Q1(ii): A survey conducted by an organisation for the cause of illness and death among the women between the ages $15 - 44$ (in years) worldwide, found the following figures (in %): (ii) Which condition is the major cause of women’s ill health and death worldwide?
- Q1(iii): A survey conducted by an organisation for the cause of illness and death among the women between the ages $15 - 44$ (in years) worldwide, found the following figures (in %): (iii) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.
- Q2(i): The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below. (i) Represent the information above by a bar graph.
- Q3(i): Given below are the seats won by different political parties in the polling outcome of a state assembly elections: (i) Draw a bar graph to represent the polling results.
- Q3(ii): Given below are the seats won by different political parties in the polling outcome of a state assembly elections: (ii) Which political party won the maximum number of seats?
- Q4(i): The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table: (i) Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
- Q4(ii): The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table: (ii) Is there any other suitable graphical representation for the same data?
- Q4(iii): The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table: (iii) Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?
- Q5(i): The following table gives the life times of 400 neon lamps: (i) Represent the given information with the help of a histogram.
- Q5(ii): The following table gives the life times of 400 neon lamps: (ii) How many lamps have a life time of more than 700 hours?
- Q6: The following table gives the distribution of students of two sections according to the marks obtained by them: Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.
- Q7: The runs scored by two teams A and B on the first 60 balls in a cricket match are given below: Represent the data of both the teams on the same graph by frequency polygons. [Hint : First make the class intervals continuous.]
- Q8: A random survey of the number of children of various age groups playing in a park was found as follows: Draw a histogram to represent the data above.
- Q9(i): 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: (i) Draw a histogram to depict the given information.
- Q9(ii): 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: (ii) Write the class interval in which the maximum number of surnames lie.
CBSE Solutions for Class 9 Mathematics Statistics
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