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## Stat 1127 week 3

by: Jessica Harbin

6

0

2

# Stat 1127 week 3 STAT 1127

Jessica Harbin

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Standard deviation, Empirical rules
COURSE
Introductory Statistics
PROF.
Jungmin Yun
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
#introductorystatistics #stats #notes #easynotes, #CSU
KARMA
25 ?

## Popular in Department

This 2 page Class Notes was uploaded by Jessica Harbin on Friday September 2, 2016. The Class Notes belongs to STAT 1127 at Columbus State University taught by Jungmin Yun in Fall 2016. Since its upload, it has received 6 views.

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Date Created: 09/02/16
Stat 1127 Week 3 Standard Deviation pg. 100 Standard Deviation (Ꝺ): a statistic that tells you have how dispersed, spread out, data values are Ex. (n-x) (n-x) 6 -5.4 29.16 22 10.6 112.36 4 -7.4 54.76 15 3.6 12.96 10 -1.4 1.96 8 -3.4 11.56 8 -3.4 11.56 7 -4.4 19.36 14 2.6 6.76 20 8.6 73.96 Mean= 11.4 Empirical Rules for data pg 106 (68-95-99.7) A normal distribution has a mean and a standard deviation. Ex. Find the indicated probability for random selection x-value from distribution Stat 1127 Week 3 1. P(x ≤ x + Ꝺ) = 50% + 34% = 84% or 0.84 2. P(x ≥ x + Ꝺ) = 13.5% + 2.4% + 0.1% or 100% - 84% = 16% or 0.16 3. P(x ≤ x ≤ x + Ꝺ) = 34% or 0.34 Ex. A normal distribution: x = 27 Ꝺ= 5 Find the probability that randomly selected x-values form the dist. is in the given interval. *create a bell-curve 0.1% 2.4% 13.5% 34% 34% 13.5% 2.4% 0.1% 12 17 22 27 32 37 42 1. P(22 ≤ x ≤ 32) = 34% + 34% = 86% or 0.86 2. P(12 ≤ x ≤ 27) = 50% - 0.1% or 2.4% + 13.5% + 34% = 49.9% or 0.499

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