QuestionA store surveyed 250 customers on service satisfaction by gender. Which is the best way to display this data? A. Two-way table B. Side-by-side boxplots C. Histogram D. Pie chart E. Scatterplot
Studdy Solution
STEP 1
Assumptions1. We have data from250 customers.
. Each customer has responded with a 'yes' or 'no' to their satisfaction with the service.
3. Each customer's response is also classified according to their gender.
STEP 2
We need to understand the nature of the data we have. We have two categorical variables satisfaction (yes or no) and gender.
STEP 3
We want to study the relationship between these two categorical variables.
STEP 4
We need to choose a method of data display that can effectively show the relationship between two categorical variables.
STEP 5
Option A, a two-way table, is a method of displaying data that can show the relationship between two categorical variables. It can show the frequency of each combination of categories (for example, the number of male customers who were satisfied, the number of female customers who were not satisfied, etc.).
STEP 6
Option B, side-by-side boxplots, is a method of displaying data that is typically used to compare the distribution of a numerical variable across different categories. Since we do not have a numerical variable in our data, this would not be a meaningful display of the data.
STEP 7
Option C, a histogram, is a method of displaying data that is used to show the distribution of a single numerical variable. Since we do not have a numerical variable in our data, this would not be a meaningful display of the data.
STEP 8
Option D, a pie chart, is a method of displaying data that is used to show the proportion of each category in a single categorical variable. Since we want to study the relationship between two categorical variables, this would not be a meaningful display of the data.
STEP 9
Option, a scatterplot, is a method of displaying data that is used to show the relationship between two numerical variables. Since we do not have numerical variables in our data, this would not be a meaningful display of the data.
STEP 10
Based on our understanding of the nature of our data and the different methods of data display, we can conclude that a two-way table (Option A) would be a meaningful display of the data from this study.
The solution is A. A two-way table.
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