# Introduction To Quantitative Analysis

Calvin Clark

Walden University

Introduction

We will analyse two variables measured at different level of measurements, using descriptive statistics and graphical representation of the data. The first variable is the age of the respondent, which is a categorical variable measured on nominal scale. The other variable is the number of adults in household of the respondent, measure on ratio scale. Further, we will prepare a confidence interval for the number of adults in household as it is a ratio variable, based on which we can draw inferential for the population.

Data Display

A graphical representation of a variable help understand some of the useful characteristics of the data for a variable,

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This signifies that there is a moderate variation in data, skewed towards younger age group.

Further, an appropriate graph for ADULTCT, measured at ratio level, is a histogram which can help us understand the shape of the distribution.

The histogram displays that the number of adults in the household is positively skewed, as significant amount of data lies at the lower end of the graph. This signifies that majority of the respondents have two to three adults in the household.

Descriptive Analysis

We calculated descriptive statistics for both the variables, including mean, median, mode, standard deviation, variance, range and many more. Further, we determined an appropriate measure of central tendency, based on the distribution displayed by graphs. We also mentioned an appropriate measure of dispersion based on the type of variable and shape of the distribution of data. Statistics Age Category ADULTCT: Number of adults in household

N Valid 51573 51451 Missing 14 136

Mean 1.65 3.64

Std. Error of Mean .003 .011

Median 1.00

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Thus, after understanding the basic characteristics of both the variables we prepared confidence interval for the ratio variable. Based on its result, we concluded that we are 95% confident that the confidence interval prepared for the ADULTCT variable contains the population average number of adults in the households. All the conclusions and learning mentioned in this assignment can surely help in analysing various variables measured at different level of