DownloadMaharashtra Board Class 10 Maths 1 Chapter 6 Solutions help students organise, represent and interpret numerical data. This page includes complete step-by-step solutions for Practice Sets 6.1 to 6.3 and Problem Set 6.
Calculation tables, cumulative frequencies and graph instructions are presented clearly. Every solution follows the Maharashtra State Board Balbharati textbook order.
Chapter 6 Statistics Overview
Statistics deals with collecting, organising, representing and interpreting data. Students learn how to create frequency tables, calculate measures of central tendency and represent data through graphs.
Topics Covered
- Grouped and ungrouped data
- Frequency distribution tables
- Class intervals and class marks
- Mean of grouped data
- Median and cumulative frequency
- Mode of grouped data
- Histogram and frequency polygon
- Interpretation of statistical results
Important Formulas for Statistics
- Class mark: xᵢ = (Lower class limit + Upper class limit)/2
- Mean: x̄ = Σfᵢxᵢ/Σfᵢ
- Median = l + [(N/2 − cf)/f] × h
- Mode = l + [(f₁ − f₀)/(2f₁ − f₀ − f₂)] × h
- Empirical relation: Mode ≈ 3 Median − 2 Mean
Common Mistakes in Statistics
- Calculating the class mark incorrectly.
- Using frequency instead of cumulative frequency for the median.
- Selecting the wrong preceding or succeeding frequency for mode.
- Forgetting the class width while using the formula.
- Drawing a graph without a scale or labelled axes.
Frequently Asked Questions about Statistics
How is the class mark found?
Add the lower and upper class limits and divide the result by 2.
How is the median class identified?
Find N/2 and select the class whose cumulative frequency first becomes equal to or greater than N/2.
What is the modal class?
The modal class is the class interval with the highest frequency.
What should every statistical graph include?
It should include a suitable scale, labelled axes, accurately plotted values and a clear title or caption.
