University:
Skagit Valley College
Course:
MATH 146 | Introduction to Stats
Academic year:

2023
Views:

190

Pages:

10
Author:

M. Hamilton

section 1.3 notes.notebook September 26, 2023 Section 1.3: Frequency, Frequency Tables, and Levels of Measurement Goals: 1) Determine the appropriate level of measurement for data. 2) Know the key terms associated with grouped frequency distribution tables (GFDT) 3) Construct a grouped frequency distribution table (GFDT) 4) Use a GFDT to determine the relative frequency 5) Use a GFDT to determine the cumulative frequency 6) Answer questions about data using a GFDT 1 section 1.3 notes.notebook September 26, 2023 Levels of measurement: Levels of measurement are another way of classifying data. There are four types: 1) Nominal 2) Ordinal 3) Interval 4) Ratio 2 section 1.3 notes.notebook September 26, 2023 Identifying Levels of measurement: Determine the appropriate level of measurement for each variable 1) Eye color 2) Distance (in miles) traveled to school 3) Letter grade (A, B, C, D, F) 4) Customer service reviews (excellent, good, satisfactory, bad, horrible) 5) Student ID numbers 6) IQ test (intelligence scale) 7) Time of day (12hour clock) 8) Number of children in a household 3 section 1.3 notes.notebook September 26, 2023 1) What type of variable, categorical or numerical, is "Any allergic condition"? 2) "Any allergic condition" would be best classified as which level of measurement? Explain. 4 section 1.3 notes.notebook September 26, 2023 Grouped Frequency Distribution Tables (GFDT): Are used to summarize data in a tabular form Allows for a more compact presentation of data shows how data are distributed Can be used to determine percentages of data within a specified range Can be used with both qualitative and quantitative data Can be used to determine relative frequencies and cumulative frequencies Height (inches) Video Streaming Service f Discovery Plus 1 HBO 1 Hulu 1 Netflix 6 YouTube 4 Frequency 4851 1 5255 1 5659 0 6063 18 6467 25 6871 17 7275 9 total: 71 5 section 1.3 notes.notebook September 26, 2023 Grouped Frequency Distribution Tables (GFDT): Important parts of GFDT: Classes Class limits Class width Midpoints Boundaries Height (inches) Frequency 4851 1 5255 1 5659 0 6063 18 6467 25 6871 17 7275 9 total: 71 6 section 1.3 notes.notebook September 26, 2023 Grouped Frequency Distribution Tables (GFDT): Creating a GFDT Start with a lower class limit of 0.0 miles and use a class width of 1.5 miles. 0.1 0.5 0.5 0.7 0.9 0.9 1.5 1.8 2 2.1 2.1 2.2 2.3 2.4 2.5 2.5 2.5 2.6 2.8 3 4.6 7.8 8.3 10 10.8 14.9 16 18 7 section 1.3 notes.notebook September 26, 2023 Grouped Frequency Distribution Tables (GFDT): Determining Relative Frequencies Height (inches) Frequency 4851 1 5255 1 5659 0 6063 18 6467 25 6871 17 7275 9 total: 71 Relative Frequency 8 section 1.3 notes.notebook September 26, 2023 Grouped Frequency Distribution Tables (GFDT): Determining cumulative frequencies and cumulative relative frequencies Height (inches) Frequency Cumulative Frequency 4851 1 5255 1 5659 0 6063 18 6467 25 6871 17 7275 9 total: 71 Cumulative Relative Frequency 9 section 1.3 notes.notebook September 26, 2023 10