Math Assignment Help With Average
Chapter 16 Average
16.1 Introduction: an average or an arithmetic mean is defined as sum of n terms divided by n.
Average = sum of data/Number of data
Example: If a batsman scores 30, 45 and 51 runs in first, second and third innings respectively, then his average runs in 3 innings is
Avg = 30+45+51
The average score of the batsman is 42 runs
16.2.1 Arithmetic mean: If n numbers are given, each number denoted by ai, where i = 1, ..., n, the arithmetic mean is the of the ai is divided by n
AM = 1/n Σai
The arithmetic mean, is often called as mean.
16.2.2 Geometric mean: The geometric mean of n numbers is determined by multiplying them together and then taking the nth root. In algebraic terms, the geometric mean of a1, a2, ..., an is defined as
16.2.4 Inequality concerning AM, GM, and HM: Inequality concerning arithmetic, geometric, and harmonic means for any set of positive numbers is
AM ≥ GM ≥ HM
16.2.5 Median and Mode: Mode is defined as the most frequently occurring number in a given list.
For example: Mode in the given list of number?
21, 12, 34, 21, 16, 21, 35, 34, 21,16
Mode in the above list is 21, as it has occurred 4 times.
The mode has the advantage that it can be used with non-numerical data but averages cannot.
Median can be calculated by first ordering the list according to its elements' magnitude and then repeatedly removing the pair consisting highest and lowest values until either one or two values are left. If exactly one value is left, it is the median and if two values are left then the median is the arithmetic mean of these two.
For example: Median of the given list
1, 4, 3, 5, 12, 2
1, 2, 3, 4, 5, 12
2, 3, 4, 5
Now you can see two values are left, so take the mean of the two
Median = (3+4)/ 2 = 3.5
16.4 Average of functions: In calculus, the average value of an integral function ƒ on an interval [a,b] is defined by b
f = 1∫f(x)dx
Email Based Homework Help in Average
To Schedule a Average Tutoring session
To submit Average assignment click here.
Geometry Help | Calculus Help | Math Tutors | Algebra Tutor | Tutorial Algebra | Algebra Learn | Math Tutorial | Algebra Tutoring | Calculus Tutor | Precalculus Help | Geometry Tutor | Maths Tutor | Geometry Homework Help | Homework Tutor | Mathematics Tutor | Calculus Tutoring | Online Algebra Tutor | Geometry Tutoring | Online Algebra Tutoring | Algebra Tutors | Math Homework Helper | Calculus Homework Help | Online Tutoring | Calculus Tutors | Homework Tutoring