Solutions for Statistics Worksheets 1, 2, and 3 - 2020

This document presents solutions to three statistics worksheets, covering a range of fundamental concepts. Worksheet 1 focuses on introductory terminology, differentiating between samples and populations, and identifying descriptive and inferential statistics. It explores data types, sampling methods, and levels of measurement. Worksheet 2 delves into data representation, requiring the creation of various graphs and charts, including sorted distributions, dot diagrams, frequency distributions, bar graphs, Pareto charts, line graphs, pie charts, and relative frequency polygons. Worksheet 3 addresses averages, including mean, median, and mode, calculated from both individual scores and frequency distributions. The solutions also provide interpretations of graphs and address the impact of outliers on different statistical measures. This assignment is designed to reinforce understanding of core statistical concepts and data analysis techniques.

Worksheet 1 Introduction
Terminology
Answer 1
a) The 1,500 selected New Yorkers is called the sample.
b) All New Yorkers make up the population.
c) This study is an example of inferential statistics.
d) The sample size is 1500.
e) The population size is the number of people in New York.
f) The value of n is 1500.
g) If the sample were taken from Brooklyn, it would be biased.
h) The symbol n is a statistic.
i) The symbol N is a parameter.
j) If every New Yorker had an equal chance of being selected, the process is called random.
Answer 2
a) The number of students in a large sample-statistic.
b) The number of students in an entire population of interest-parameter.
c) n-statistic.
d) μ-parameter.

Sampling Methods
Answer 3
a) some voters are chosen from each city on Long Island-Stratified Sampling
b) every item in the population has an equal chance of being selected-Random Sampling.
c) Every 7th person who passes by is selected-Systematic Sampling.
d) All citizen in NYS are contacted for information. – Complete Enumeration
e) Every individual in the population is in the sample-Complete Enumeration (Census)
f) All voters in 2 randomly selected countries are contacted-Cluster Sampling.
Answer 4
a) True.
b) False.
c) False.
d) False
e) False.
f) True.
g) True.
h) False.
i) True.
Data Types
Answer 5
a) The number of children a person has-Quantitative.

b) The weight of a lion-Quantitative.
c) A person’s eye colour- Qualitative.
d) The amount of gasoline used on a vacation trip-Quantitative.
Numeric Data Types
Answer 6
a) The number of Harry’s girlfriends- discrete.
b) The circumference of a person’s head-continuous.
c) The height of a person-continuous.
Level of Measurement
Answer 7
a) A movie is ranked as good, fair or poor. –ordinal.
b) The amount of gasoline in a car’s tank-interval.
c) A person’s rank in the army-ordinal.
d) A person’s age-ratio.
e) The religion of a person-nominal.
Answer 8
a) Ordinal
b) Interval
c) Ordinal
d) Ratio
e) Nominal

Types of statistical studies
Answer 9
a) Experimental study.
b) Experimental study.
c) Descriptive study.
d) Descriptive study.