
Explore measures of central tendency, including mean, median, mode, geometric mean, and harmonic mean, and learn key properties and the relation mode equals three median minus two mean.
Explore arithmetic mean through simple illustrations, from calculating the mean of the first ten odd numbers and sums of natural numbers to deviations and effects of adding a constant.
Identify the mode by analyzing the frequencies within data, determine the value of x that maximizes occurrence, and apply to data sets of items and persons.
The lecture demonstrates computing the mean from a frequency distribution, yielding 55. It finds p for a distribution when the mean is six.
Compute the median of grouped data by summing frequencies to N, building a cumulative frequency table, and applying the median formula L + H*(N/2 - CF)/f using the median class.
Explore harmonic mean calculations through concrete illustrations: from four, six, and ten to grouped frequency data, then derive the harmonic mean for reciprocals as 2/(n+1).
Explore probability by assigning numerical value to event certainty through experiments and favorable outcomes, including coin tosses, dice, and cards. Also learn about complementary events with P(Ebar)=1−P(E).
Explore factorial notation, the fundamental principle of counting, and basic permutation and combination concepts. Apply nPr and nCr formulas, and distinguish order in permutations from order not important in combinations.
Explore permutations and combinations through step-by-step factorial techniques, ncr calculations, and fundamental counting principles to solve diverse counting and arrangement problems.
Construct sample spaces for experiments, including three coin tosses, drawing two balls from a red-and-white box without replacement, and coin–die conditional outcomes.
Learn the laws of probability and additive properties from set theory: union and intersection rules, mutually exclusive events, sample space equal to one, and odds in favor or against.
Apply the regression line x - xbar = r (sigma x / sigma y)(y - ybar) to estimate Bangalore price. Estimate for y = 70 yields 72.6 rupees.
Learn how regression coefficients determine the slope in X on Y and Y on X, relate to the correlation coefficient, and remain independent of origin but not scale.
In this course, we will learn statistics essentials for Data science and Business analysis. Since data science is studied by both the engineers and commerce students ,this course is designed in such a way that it is useful for both beginners as well as for advanced level.
I am sure that this course will be create a strong platform for students and those who are planning for appearing in competitive tests and studying higher Mathematics .
You will also get a good support in Q&A section . It is also planned that based on your feed back, new course materials like Importance of Statistics for Data Science, Statistical Data and its measurement scales, Classification of Data ,Measures of Dispersion: Range, Mean Deviation, Std. Deviation & Quartile Deviation, Basic Concepts of Probability, Sample Space and Verbal description & Equivalent Set Notations, Types of Events and Addition Theorem of Probability, Conditional Probability, Total Probability Theorem, Baye's Theorem etc. will be added to the course. Hope the course will develop better understanding and boost the self confidence of the students.
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Important Note: The course is intended for purchase by adults. Those under 18 years may use the services only if a parent or guardian opens their account, handles any enrollments, and manages their account usage.