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Frequency Distribution in Statistics
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Frequency Distribution in Statistics

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Questions and Answers

What is the purpose of cluster sampling in market research?

  • To divide the population into smaller groups
  • To ensure every household has an equal chance of being selected
  • To reduce the cost of simple random sampling (correct)
  • To interview every household in the city
  • What is the distribution of all possible values of a statistic from all possible samples of a particular size drawn from a population?

  • Data Distribution
  • Sampling Distribution (correct)
  • Standard Error Distribution
  • Population Distribution
  • What is the standard deviation of the distribution of the sample means?

  • Interquartile Range of the Sample
  • Standard Deviation of the Sample
  • Standard Error of the Mean (correct)
  • Variance of the Population
  • What is the term for the variability in observed means due to chance error in the sampling process?

    <p>Sampling Error</p> Signup and view all the answers

    What is the purpose of calculating the mean of each sample in a sampling distribution?

    <p>To determine the variability of the sample means</p> Signup and view all the answers

    What does the standard deviation of the sampling distribution of means measure?

    <p>The variability of the sample means</p> Signup and view all the answers

    What is the term for the distribution of all possible samples of a particular size drawn from a population?

    <p>Sampling Distribution</p> Signup and view all the answers

    Why is cluster sampling preferred over simple random sampling?

    <p>It is more cost-effective</p> Signup and view all the answers

    What is the term for the standard deviation of the distribution of the sample proportions?

    <p>Standard Error of the Proportion</p> Signup and view all the answers

    What is the purpose of calculating the standard error of the mean?

    <p>To measure the variability of the sample means</p> Signup and view all the answers

    Study Notes

    Frequency Distribution

    • Frequency refers to the number of occurrences of a value in a given series of observations.
    • Frequency distribution is a table that organizes data by showing the values of a variable with their corresponding frequencies.
    • The left column of a frequency distribution table includes numerical intervals of a variable under study, while the right column contains the list of frequencies.
    • Class-limits or class-intervals are formed within two values, with the lower value being the lower class limit and the upper value being the upper class limit.

    Class Length or Class Width

    • The difference between the upper and lower class limits is called the class length or class width.
    • Class length/width = Upper class limit – Lower class limit.

    Mid-Value or Class Mark

    • The mid-point of a class is called the mid-value or class mark.

    Frequency Density

    • Frequency density of a class interval = Class frequency / Width of class.

    Continuous Frequency Distribution

    • A continuous frequency distribution is a type of frequency distribution where the variable takes values expressed in class intervals within certain limits.
    • Example: Marks obtained by 20 students in an exam for 50 marks can be converted into a continuous frequency distribution.

    Sampling

    • Sampling is a process used in statistical analysis where a predetermined number of observations are taken from a larger population.
    • The methodology used to sample from a larger population depends on the type of analysis being performed.

    Types of Sampling

    • There are two methods of selecting from populations: non-random or judgment sampling, and random or probability sampling.
    • Random sampling is a probability sampling method that utilizes some form of random selection to assure equal probabilities of being chosen.

    Sampling Distribution

    • The sampling distribution is the distribution of all possible values of a statistic from all possible samples of a particular size drawn from the population.
    • Each sample drawn from a population would have its own means or measure of central tendency and standard deviation.

    Standard Error

    • The standard deviation of the distribution of the sample means is called the standard error of the mean.
    • The standard error of the proportion is the standard deviation of the distribution of the sample proportions.
    • The standard error measures the extent to which the means vary due to chance error in the sampling process.

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    Description

    Learn about frequency, frequency distribution and how to represent data in a table with corresponding frequencies. Understand the concept of frequency distribution in statistics.

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