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Class 10 Maths Chapter 13 Question Answers - Statistics
VALUE BASED QUESTIONS
Q1. The following table gives the percentage distribution of female students in various schools of rural areas of various states and UTs of India who are getting freeship.
(i) Find the mean percentage of female students getting freeship.
(ii) Which mathematical concept is used in the above problem?
(iii) By giving freeship to girls/women students, which value is depicted by various states and UTs?
Sol. (i) We find xi (class marks) of each class and put them in the following table :
Here, we take a = 50, h = 10 and di = xi – 50
ui = xi - 5010
Putting di and ui in the following table :
∵ From the table, we have :
Σfi = 35, Σfixi = 1390,
Σfidi = -360, Σfiui = -36
⇒ x̄ = ΣfixiΣfi = 139035 = 39.71 [Using direct method]
OR
Using the step deviation method, we get:
x̄ = a + (Σfiui)Σfi × h = 50 + (-36)35 × 10 = 39.71
Thus, required percentage of women students = 39.71
(ii) Statistics.
(iii) Promoting women education.
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FAQs on Class 10 Maths Chapter 13 Question Answers - Statistics
| 1. What is the importance of statistics in decision-making processes? |  |
Ans. Statistics play a crucial role in decision-making as they provide a systematic way to collect, analyze, and interpret data. By using statistical methods, decision-makers can identify trends, make predictions, and evaluate the effectiveness of different strategies, ultimately leading to informed and effective choices.
| 2. How can one determine the reliability of statistical data? | |
Ans. The reliability of statistical data can be determined by evaluating the source of the data, checking for consistency over time, assessing the sample size used in the study, and examining the methodology applied in data collection. Additionally, cross-referencing with other credible sources can enhance the reliability assessment.
| 3. What are the common types of statistical analyses used in research? | |
Ans. Common types of statistical analyses include descriptive statistics (mean, median, mode), inferential statistics (hypothesis testing, confidence intervals), regression analysis (linear and multiple regression), and non-parametric tests (Chi-square test, Mann-Whitney U test). Each type serves specific purposes in analyzing data.
| 4. How do you interpret the results of a statistical test? | |
Ans. Interpreting the results of a statistical test involves understanding the p-value, confidence intervals, and effect sizes. A p-value less than the chosen significance level (e.g., 0.05) indicates a statistically significant result. Confidence intervals provide a range within which the true parameter lies, while effect sizes assess the magnitude of the observed effect.
| 5. What are some common misconceptions about statistics? | |
Ans. Common misconceptions about statistics include the belief that correlation implies causation, that small sample sizes can yield reliable results, and that statistical significance guarantees practical significance. Understanding these misconceptions is important for correctly interpreting statistical findings and avoiding misleading conclusions.
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