

Statistics : Skewing
Presentation
•
Mathematics, Other
•
11th Grade
•
Hard
KASSIA! LLTTF
Used 5+ times
FREE Resource
13 Slides • 0 Questions
1
Statistics : Skewing

2
Normal Distribution
Symmetrical
For a symmetrical distribution the mean and the median are approximately in the middle and the upper and lower quartiles placed on either sides of the median. When the bulk of the data leans toward one or the other end of the range, the distribution it is said to be skewed.
3
4
5
6
Skewing in Box & Whiskers
Positively Skewed.
* The right side whisker is longer due to the presence of outliers. ( a few high values)
* The bulk of the data is in the lower end.
* The Median is closer to the Q1 quartile.
7
Negatively Skewed
*The left side whisker is longer due to the presence of outliers (small values)
* The median is closer to the right side / upper quartile.
* The bulk of the data is on the higher end or values.
8
Comparing 2 Box and Whisker Plot
* B - The data is close to being symmetrical / slightly symmetrical.
* A - The data is negatively skewed.
* IQR of A is less than the IQR of B.
*The bulk of the data in A had less spread than the bulk of the data in B.
* IQR of A is more constricted and IQR of B is more spread out.
Remember : IQR (inter- quartile range ) = Q3 - Q1
9
Standard Deviation
It is another measure of spread about the mean. I.Q.R. measures spread about the MEDIAN. The bulk of the data (for a normal distribution ) is about 2 Standard Deviation on either side of the MEAN.
10
11
1. Discrete Data
S.D.=n∈(x−x)2 where
x =mean and x = individual (marks etc)
n = number of items / raw data
12
eg. 1
Find the Standard Deviation of the following marks (Test out of 20) for Class A.
3 , 5 ,11 , 8 , 4 ,15, 17, 19, 6, 9.
n = 10
=1097
=9.7
S.D. =n∈(x−x)2 = 10286.1=5.34
13
e.g 2
Find the S.D of the following set of data (Test out of 20) for Class B.
10 , 9, 15, 16, 17, 18, 20, 19, 11, 15
Mean =n∈x=10150=15
S.D.=n∈(x−x)2 =10132=3.63
Class B has a smaller S.D. which means that there were less Spread of marks about the mean.
Statistics : Skewing

Show answer
Auto Play
Slide 1 / 13
SLIDE
Similar Resources on Wayground
9 questions
Matemática SAEB_3ano
Presentation
•
12th Grade
12 questions
Introduction to Trigonometric Functions
Presentation
•
10th - 11th Grade
8 questions
3.4 Solving Quadratic Equations by Factoring
Presentation
•
10th - 11th Grade
10 questions
LOGARITMOS
Presentation
•
12th Grade
10 questions
Financial Math: Ratios, Rates, and Percentages in Real Life
Presentation
•
11th Grade
10 questions
Mengkreasi berita
Presentation
•
11th Grade
10 questions
Rational Exponents & Radicals
Presentation
•
10th Grade
10 questions
Solving Equations
Presentation
•
6th Grade
Popular Resources on Wayground
10 questions
Safety Day 2026 – Student Review
Quiz
•
9th Grade
21 questions
Continents and Oceans
Quiz
•
6th Grade
20 questions
Parts of Speech
Quiz
•
5th Grade
16 questions
Subject & Predicate
Quiz
•
5th Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
12 questions
Map Skills
Quiz
•
3rd Grade
22 questions
Continents and Oceans
Quiz
•
5th Grade
15 questions
Rounding Decimals
Quiz
•
5th Grade
Discover more resources for Mathematics
12 questions
Identify Rigid Transformations
Quiz
•
8th - 12th Grade
10 questions
Complementary, Supplementary, Vertical, and Linear Pairs
Quiz
•
9th - 12th Grade
22 questions
Identify Vertical and Horizontal Translations
Quiz
•
9th - 12th Grade
10 questions
Graphing Inequalities on a Number Line
Quiz
•
9th - 12th Grade
17 questions
Identifying Parallel And Perpendicular Lines
Quiz
•
9th - 12th Grade
18 questions
Integer Operations
Quiz
•
5th - 12th Grade
18 questions
Parallel lines cut by a transversal
Quiz
•
9th - 11th Grade
14 questions
Evaluate Linear Functions and Their Applications
Quiz
•
9th - 12th Grade