Boards की तैयारी🔥Class-10th || Statistics Ex-13.1 Q1-Q5 || MATHCORE || NCERT || 2024-25 || CBSE ||
Boards की तैयारी🔥Class-10th || Statistics Ex-13.1 Q1-Q5 || MATHCORE || NCERT || 2024-25 || CBSE || Class-10th,Ch-13 || Intro To Statistics One Shot Video || New NCERT || CBSE || 2024-25 || MATHCORE | 1. Data Types Primary Data: Data collected firsthand. Secondary Data: Data collected from other sources. 2. Measures of Central Tendency Mean: The average of given data. Median: The middle value when data is arranged in order. Mode: The most frequently occurring value. 3. Frequency Distribution Class Interval: A range of values in grouped data. Class Width: The difference between the upper and lower class limits. Class Mark: The midpoint of a class interval. Cumulative Frequency: The sum of frequencies up to a certain class. 4. Graphical Representation Histogram: A bar graph showing frequency distribution. Frequency Polygon: A line graph connecting midpoints of class intervals. Ogive (Cumulative Frequency Curve): A curve that represents cumulative frequency. 5. Mean Calculation Methods Direct Method: Using the formula Mean = )×h Where: 𝐿 L = lower boundary of modal class 𝑓 1 f 1 = frequency of modal class 𝑓 0 f 0 = frequency before modal class 𝑓 2 f 2 = frequency after modal class ℎ h = class width 7. Median Calculation Using Cumulative Frequency Table Formula: Median = 𝐿 + ( 𝑛 2 − 𝐶 𝐹 𝑓 ) × ℎ Median=L+( f 2 n −CF )×h Where: 𝐿 L = lower boundary of median class 𝑛 n = total number of observations 𝐶 𝐹 CF = cumulative frequency before median class 𝑓 f = frequency of median class ℎ h = class width . Data and Its Types Raw Data: Data in its original form, without organization. Grouped Data: Data organized into class intervals. Ungrouped Data: Data presented as individual values. Qualitative Data: Non-numeric data (e.g., colors, names). Quantitative Data: Numeric data (e.g., marks, height). 2. Frequency Distribution Terms Lower Class Limit: The smallest value in a class interval. Upper Class Limit: The largest value in a class interval. Class Width (Size): Difference between the upper and lower class limits. Class Midpoint (Class Mark): Class Mark = Lower Limit + Upper Limit 2 Class Mark= 2 Lower Limit+Upper Limit Relative Frequency: Frequency of a class Total frequency × 100 Total frequency Frequency of a class ×100 Cumulative Frequency: Running total of frequencies. 3. Measures of Central Tendency Mean (Arithmetic Mean): Mean Median: The middle value of the ordered dataset. Mode: The most frequently occurring value in the dataset. 4. Methods to Find Mean Direct Method: Using the formula 5. Median Calculation for Grouped Data Cumulative Frequency Table: Used to find the class containing the median. Median Formula: Median )×h Key Terms: 𝐿 L = lower boundary of the median class 𝑛 n = total frequency 𝐶 𝐹 CF = cumulat h = class width 6. Mode Calculation for Grouped Data Mode Formula: Mode = = frequency after modal class ℎ h = class width 7. Graphical Representation Histogram: A bar graph representing frequency distribution. Frequency Polygon: A line graph connecting midpoints of class intervals. Cumulative Frequency Curve (Ogive): A graph showing cumulative frequency. Less Than Ogive: Plots cumulative frequency for "less than" values. More Than Ogive: Plots cumulative frequency for "more than" values. Intersection of Ogives: The median is found where the two ogives intersect. PLAYLISTS: Ch-1 Real Numbers Playlist: • Maths | Ncert |Class 10 | Chapter 1(Real n... Ch-2 Polynomials Playlist: • Maths | Ncert |Class 10 | Chapter 2(Polyno... Ch-3 Linear equations in two variables Playlist: • Ch-3 Pair Of Linear Equations In Two Varia... Ch-4 Quadratic Equations Playlist: • Ch-4 Maths, Quadratic Equations , Accordin... Ch-5 Arithmetic Progressions Playlists: • Class-10th, Arithmetic Progreesions Comple... Ch-6 Triangles Playlist: • Class-10th || Triangles || Easy Methods ||... Ch-7 Coordinate Geometry Playlist: • Coordinate Geometry || Class-10th || New N... Ch-8 Intro To Trigonometry Playlist: • Class-10th, Intro To trigono || New NCERT ... Ch-9 Applications Of Trigonometry Playlists: • Applications Of Trigonometry|| Class-10th ... Ch-10 Circles Playlists: • Class-10th || Circles,Chapter-10 || Zero T... Ch-11 Areas Related to circles Playlist: • Class-10th || Chapter-11 ,Areas Related To... Ch-12 Surface areas And Volumes Playlist: Ch-13 Statistics Playlist: Ch-14 Probability Playlist: Timestamps: 00:20 intro Outro Thank You Regards Mathcore By Mukul Sir