what is frequency distribution?
a. a frequency distribution is the categories of the variable together with their frequencies. an example would be the number of flowers of each color in a bouquet.
b. a frequency distribution is the categories of the variable together with their frequencies. an example would be the percentages of red flowers in a bouquet.
c.a frequency distribution is the proportion of all observations that fall in that category. an example would be the percentage of red flowers in a bouquet.
d.a frequency distribution is the proportion of all observations that fall in that category. an example would be the number of flowers of each color in a bouquet.
Answer; A
2) select the coreect choice
to perform systematic sampling, we randomly select an individual out of the first k individals and also select every _________ individual after the first selected individual.
a. subsequent
b. tenth
c. second
d. kth
answer : d
3) a reseracher compares the ethnicity of individuals in an experiment and whether thet are in the treatment group or control group. choose all the following tables and diagrams that would be appropriate ways to determine this data
select all that apply
a. relative frequency bar graph
b. frequency bar graph
c. pie chart
d. two way table
e. relative frequency table
f. frequency table
g. multiple bar graphs,
answer : all except pie chart
To answer the first question of what is frequency distribution, we can identify the correct choice by understanding the definition of frequency distribution. A frequency distribution is the organization of data into categories, along with their corresponding frequencies. It provides a summary of the data distribution, showing how often each category occurs. In this case, option A correctly describes a frequency distribution as the categories of the variable together with their frequencies, using the example of the number of flowers of each color in a bouquet.
For the second question about systematic sampling, to determine the correct choice, we need to understand the process of systematic sampling. In systematic sampling, we select a random starting point, and then select every "k-th" individual after the first selected individual. Therefore, the correct answer is option D, as it correctly mentions selecting every "k-th" individual after the first selected individual.
Regarding the third question about appropriate ways to determine data comparing ethnicity and group affiliation, we need to select all the methods that would be suitable for this purpose. In this scenario, we want to compare the ethnicity of individuals in an experiment based on their group affiliation. The appropriate choices, which could effectively represent this data, include:
- Frequency bar graph (option B)
- Two-way table (option D)
- Relative frequency table (option E)
- Frequency table (option F)
- Multiple bar graphs (option G)
These options would allow us to compare the ethnicities of individuals across different groups and provide a visual representation of the data. However, a pie chart (option C) would be less appropriate for comparing multiple categories and their proportions in different groups, so it is not selected as an appropriate choice.