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Q: (b)For a set of numbers 1,4,7. Find population mean and Variance. Draw up frequency distributions of means of all possible samples of size 3 when sampling is carried out with replacement. Find mean and variance of distribution?
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What are some benefits of representing data sets using frequency distributions?

Organizing the data into a frequency distribution can make patterns within the data more evident.


What is an allelotype?

An allelotype is a frequency distribution of a set of alleles in a population.


What is the difference of finding average from raw data and from frequency distribution?

Finding the average from the raw data requires a lot more calculations. By using frequency distributions you reduce the number of calculations.


What is the mean of frequency distribution?

It is a mathematically calculated summary statistic. With discrete distributions it is the arithmetic mean whereas with a continuous distribution it is the value of the random variable (RV) such that it divides the area under the probability distribution curve in half.


What is the difference between frequency distribution and relative frequency distribution?

Frequency distribution refers to a set of frequencies with a particular set of values into which a statistical population is grouped. Relative frequency refers to data presented in a table that demonstrates the relative frequency of multiple non-overlapping classes.


What are the advantages of using a frequency distribution?

Frequency distributions can: C condense and summarize large amounts of data in a useful format C describe all variable types C facilitate graphic presentation of data C begin to identify population characteristics C permit cautious comparison of data sets


What is a frequency distributions?

The frequency distribution shows in a graph or a table all the possible values of a variable, called the random variable, and the frequency or the count of each value. For example, if you had the ages of 100 people you could do a frequency distribution and split the ages into 10 year categories and then show how many of the 100 people were in the 20s, how many in their 30s, how many in their 40s and so on.


How many types are there of frequency distribution?

Introduction:Frequency distribution is used to compress and summarize the whole data by grouping the data into classes and records the data points that fall in each class. The frequency distribution is considered as the base for descriptive statistics and they are also used to define the ordinal, nominal and the interval data. Frequency distribution is the comfortable way of grouping and organizing the data.Example of Frequency Distribution:Consider the frequency table for the students in a class where the data has been grouped according to the height of the students. Range of height Total number of student's cumulative frequency3.0 - 4.5 feet 15 154.5 - 5.0 feet 20 355.0 - 6.5 feet 25 506.5 - 7.0 feet 30 80In the case of nominal data the use of the contingency table is required. The frequency distributions are used to present the data graphically.Types of Frequency Distributions:There are three types of frequency distributions. Cumulative frequency distribution,Grouped frequency distribution,Cumulative Grouped frequency distribution.Cumulative frequency distribution (type 1):The cumulative frequency can be found from the frequency distribution by adding the cumulative frequency column. The highest cumulative frequency should be equal to the total number of frequenciesTemperature Frequency Cumulative frequency47 3 2246 3 1945 4 1544 3 1243 3 9Grouped frequency distribution (type 2):The grouped frequency distribution can be formed by grouping the values together into the class intervals. The range can be calculated using the maximum and the minimum values.Data set for temperature45 48 47 43 4442 45 43 46 4645 47 46 47 4543 47 45 47 4644 43 44 46 47The grouped frequency distribution is given byClass interval midpoint frequency45- 47 46 1542 - 44 43 7Cumulative grouped frequency distribution (type 3):In cumulative frequency distribution the cumulative frequency column is added to the grouped frequency distribution so that we can get the cumulative grouped frequency distribution.Class interval midpoint frequency Cumulative frequency45- 47 46 15 2242 - 44 43 7 7


What is derived frequency distribution?

It is derived frequency distribution. XD


What is the difference of frequency distribution and relative frequency distribution?

A frequency distribution lists each value in the distribution and the number times it appears, while a relative frequency distribution reports the proportion of cases reporting each value


What is a distribution of a particular allele within a population?

Based on the Hardy-Weinberg Principle the rate at which a particular allele occurs in a population is its frequency.


What is the cumulative column frequency distribution table?

Cumulative Frequency is The total of a frequency and all frequencies so far in a frequency distribution. It is the 'running total' of frequencies in the frequency distribution table.