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## Stat 1127 Week two notes

by: Jessica Harbin

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# Stat 1127 Week two notes STAT 1127

Marketplace > Columbus State University > STAT 1127 > Stat 1127 Week two notes
Jessica Harbin

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## About this Document

Constructing a frequency distribution, measures, Quartiles. textbook: Essentials of statistics 4th ed.
COURSE
Introductory Statistics
PROF.
Jungmin Yun
TYPE
Class Notes
PAGES
3
WORDS
CONCEPTS
#stat, #statnotes, #CSU
KARMA
Free

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This 3 page Class Notes was uploaded by Jessica Harbin on Monday August 29, 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 5 views.

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Date Created: 08/29/16
Stat 1127 Week 2 Notes Review week one notes Constructing a Frequency Distribution pg. 48 1. Determine the # of classes (between 5-10) *Given info* 2. Calculate the class width. ( max – min divided by # of classes) 3. Choose the min value as the 1 lower class limit 4. Using the 1 lower class limit & the class width, list the other lower class limit 5. List the lower class limit in a vertical column & then enter the upper class limit 6. Take each individual value & put a tally mark in the appropriate class. Find the total frequency for each class. Ex. 1 # of classes = 6 Class width = 32-3 = 29 = 4.83 = 5 6 6 CLASSES TALLY FREQUENCY RELATIVE FREQUENCY 3-7 IIII IIII II 12 12/36 = 0.3333 8-12 IIII IIII I 11 11/36 = 0.3055 13-17 IIII I 6 6/36= 0.1666 18-22 IIII 4 4/36 = 0.1111 23-27 II 2 2/36 = 0.0556 28-32 I 1 1/36 = 0.0278 TOTAL 36 36 Chapter 3.1 Measures of Center n= # of data Mean (x) Ʃx = sum of data value n # of data value Median = middle value Stat 1127 Week 2 Notes Mode = Most common value(s) (No mode – no number) *modal = mode Midrange = max + min 2 Range = max – min Ex. 1 Use the given set of data to calculate/determine a. Mean b. median c. mode d. midrange 1) 1 7 8 2 3 6 5 10 3 a. 45 / 9 = 5 b. 1 2 3 3 5 6 7 8 10 = 5 c. 3 d. 5.5 2) 44 32 88 19 33 74 62 31 33 56 a. 47.2 b. 19 31 32 33 33 44 56 62 74 88 = 38.5 Add and divide by 2 c. 33 d. 53.5 Quartiles pg. 119 Quartiles: measures of location which divide a set of data into 4 groups w/ about 25% of the values in each group Q 1 Lower Quartile = separate from the bottom 25% Q 2 Median = separate from the bottom 50% of the data Q 3 Upper Quartile = separate from the bottom 75% of the data Inner Quartile Range (IQR):3Q –1Q Stat 1127 Week 2 Notes Box Plot (Box-&-Whisker diagram): Side Notes based on min and max values, Q3& Q 1 median. Ex. Draw a box plot for the given data 5 7 1 9 11 22 15 1 list them in order 1 5 7 9 11 15 22 Min = 1 Max = 22 median = 9 nd Q1:+1 divided by 4 = 2 = 5 Q 1:+ 1 divided by 4 th Q 3:7+1) divided by 4 = 6 = 15 Q 3:n+1) divided by 4 IQR: Q – Q IQR: 15-5 = 10 3 1 0 5 10 15 20 25 Ex. 4 7 18 3 9 5 10 In order 3 4 5 7 9 10 18 Min = 3 Max = 18 Med = 7 Q = 4 1 = 10 3 IQR = 6 0 5 10 15 20

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