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 these questions, you need to understand the concepts and definitions related to frequency distribution, systematic sampling, and different graphical representations of data.

1) What is frequency distribution?
Frequency distribution refers to the representation of data in the form of categories of a variable along with their corresponding frequencies. It helps in understanding the distribution and pattern of values within a dataset. An example of a frequency distribution is counting the number of flowers of each color in a bouquet.

2) To perform systematic sampling, we randomly select an individual out of the first k individuals and also select every _________ individual after the first selected individual.
To perform systematic sampling, we randomly select an individual out of the first k individuals and also select every kth individual after the first selected individual. The correct answer is option d.

3) A researcher compares the ethnicity of individuals in an experiment and whether they are in the treatment group or control group. Choose all the following tables and diagrams that would be appropriate ways to determine this data.
To determine the ethnicity of individuals in an experiment and compare it with the treatment and control groups, several tables and diagrams can be used. The appropriate options in this case would be:
- Relative frequency bar graph: This graph shows the relative frequencies (proportions) of each ethnicity category in the treatment and control groups.
- Frequency bar graph: This graph shows the absolute frequencies (counts) of each ethnicity category in the treatment and control groups.
- Two-way table: This table displays the frequencies of each ethnicity category in both the treatment and control groups, allowing for a direct comparison.
- Relative frequency table: This table presents the relative frequencies (proportions) of each ethnicity category in the treatment and control groups.
- Frequency table: This table displays the absolute frequencies (counts) of each ethnicity category in the treatment and control groups.
- Multiple bar graphs: This graphical representation compares the frequencies or relative frequencies of each ethnicity category separately for the treatment and control groups.

The option not appropriate in this case would be the pie chart, as it does not provide a clear comparison between the treatment and control groups.