# Is the mode the measure of central tendency that is best used with a skewed distribution? Question
Analyzing categorical data Is the mode the measure of central tendency that is best used with a skewed distribution? 2021-03-13
Step 1
The measure of central tendency is a value data by which the whole data set can be described with a single value that represents the middle or central of its distribution.
There is three measure of central tendency.
-Mean
-Median
-Mode
Often, the median is the best central tendency for the skewed distribution.
But for categorical data set mean and median cannot be calculated.
Step 2
Thus, the mode is the measure of central tendency which is best with a skewed distribution for the categorical (nominal or ordinal) data set.

### Relevant Questions True or False
1.The goal of descriptive statistics is to simplify, summarize, and organize data.
2.A summary value, usually numerical, that describes a sample is called a parameter.
3.A researcher records the average age for a group of 25 preschool children selected to participate in a research study. The average age is an example of a statistic.
4.The median is the most commonly used measure of central tendency.
5.The mode is the best way to measure central tendency for data from a nominal scale of measurement.
6.A distribution of scores and a mean of 55 and a standard deviation of 4. The variance for this distribution is 16.
7.In a distribution with a mean of M = 36 and a standard deviation of SD = 8, a score of 40 would be considered an extreme value.
8.In a distribution with a mean of M = 76 and a standard deviation of SD = 7, a score of 91 would be considered an extreme value.
9.A negative correlation means that as the X values decrease, the Y values also tend to decrease.
10.The goal of a hypothesis test is to demonstrate that the patterns observed in the sample data represent real patterns in the population and are not simply due to chance or sampling error. What is the best measure of central tendency for 2 nominal level variables and why? The numerical summary that is used for categorical data is a proportion.
Group of answer choices: True or False Which statement best characterizes the definitions of categorical and quantitative data?
Quantitative data consist of numbers, whereas categorical data consist of names and labels that are not numeric.
Quantitative data consist of numbers representing measurements or counts, whereas categorical data consist of names or labels
Quantitative data consist of values that can be arranged in order, whereas categorical data consist of values that cannot be arranged in order.
Quantitative data have an uncountable number of possible values, whereas categorical data have a countable number of possible values. Select the best suitable answer. If none of the choices represents a correct answer, select “Other” and write your own answer. The school cafeteria collects data on students’ juice box selections. This is an example of
A numerical, ordinal data.
B numerical, nominal data.
C categorical, ordinal data.
D categorical, nominal data. Identify the type of data that would be used to describe a response.
Most Watched Television Show
Quantitative - Continuous
Qualitative (Categorical)
Quantitative - Discrete Find the mean, median, mode, and range for each data set given.
a. 7, 12, 1, 7, 6, 5, 11
b. 85, 105, 95, 90, 115
c. 10, 14, 16, 16, 8, 9, 11, 12, 3
d. 10, 8, 7, 5, 9, 10, 7
e. 45, 50, 40, 35, 75
f. 15, 11, 11, 16, 16, 9 The Kroger Company is one of the largest grocery retailers in the United States, with over 2000 grocery stores across the country. Kroger uses an online customer opinion questionnaire to obtain performance data about its products and services and learn about what motivates its customers (Kroger website, April 2012). In the survey, Kroger customers were asked if they would be willing to pay more for products that had each of the following four characteristics.
The four questions were: Would you pay more for:
products that have a brand name?
products that are environmentally friendly?
products that are organic?
products that have been recommended by others?
For each question, the customers had the option of responding Yes if they would pay more or No if they would not pay more.
a. Are the data collected by Kroger in this example categorical or quantitative?  