What the different shapes of the distribution tell us about the measures of central tendency.

Q: What is a frequency distribution of qualitative data and why is it useful?

A: Frequency distribution: Sometimes an event will be occurred two or more times, the number of…

Q: for CEO salaries throughout the united states (not just the data set we used in class) which has a…

A: we know that distribution skewed to right means positively skewed data. In this case, the measures…

Q: The mean can be thought of as the balancing point of a distribution. According to this description,…

A: Mean          A mean is the simple mathematical average of a set of two or more numbers. The mean…

Q: What are the measures of central tendency? Explain.

A: Solution: The three measures of central tendency are the mean, median and mode which are defined as…

Q: The average retirement age in America is 65 years old. Do small business owners retire at an older…

A: c For the given sample values, x¯=68.0625, from the excel function, =AVERAGE(F1:F16)s=5.9830, from…

Q: Explain the the Chi-Squared Distribution?

A:

Q: which measure of central tendency mean or median best describe the center of the distribution and…

A: Given query is to find the measure which is best to describe center of the distribution.

Q: The Empirical Rule states that a symmetrical distribution will have what percentage of observations…

A: The Empirical Rule states that 99.7 percentage of data observed following a distribution  lien…

Q: For a severely skewed distribution, the mean often provides a better measure of central tendency…

A:

Q: What is the value of the standard score for the mean of a distribution

A: The standard score is the same as the Z-value. This is the distance of any data value, measured in…

Q: Why we need different measures of central tendency and dispersion, if mean is given? Briefly explain…

A: The different measures of central tendency are as follows: 1. Mean: It is the most popularly used…

Q: What is the mean, standard deviation and variance of the time the subjects stayed balanced?

A: We have given that, The data of 8 females. The balance times data is, 34, 38, 29, 23, 33, 28, 32,…

Q: standardized scores and normal

A: Normal distributions have a specific curve, and I’ve already posted about that elsewhere; the…

Q: Based on this graph what was the approximate distribution of the averages?  X~___(___,___)

A: Central limit theorem (CLT): According to CLT, for a given sufficiently large sample size from a…

Q: What is meant by saying that a variable has a chi-square distribution?

A: Chi-square distribution: If the distribution of the variable has a special type of right skewed…

Q: what is its distribution, its mean and its variance?

A:

Q: Illustrate the mean or expected value, variance and standard deviation

A: given: x f xf (x- x )2 f*(x- x )2 4 1 4 25 25 5 2 10 16 32 8 2 16 1 2 10 2 20 1 2 13 2…

Q: What is the mean for the z score distribution?

A:

Q: What is Measures of Central Tendency?

A: Often,the data which will be provided will have a tendency,not withstanding their variability, to…

Q: Estimate the mean of the distribution.

A: From the given histogram, we are considering the approximate frequency values: Class interval…

Q: Name the 4 circumstances where the median would provide a better measure of central tendency than…

A: Central tendency: The value that is used for describing the full data set using the central position…

Q: What is Relative Frequency Distribution?

A: Frequency distribution: In qualitative variable, the distinct values and its corresponding number of…

Q: Provide three different situations to illustrate how a different measure of central tendency is…

A: Mean Mean is the most widely used measure of Central Tendency that is used in Statistical analyses.…

Q: which one is more precise sample variance or population variance

A: We want to tell you which one is more precise.

Q: Example 9. Find the mean deviation from the median for the follow ing frequency distribution :

A: Here given grouped data of marks and no.of students

Q: A distribution has a mean of 75 and a median of 70. This distribution is probably positively skewed

A:

Q: Explain how a “distribution of means” is created and when it is appropriate as the “comparison…

A: When you draw infinite random samples of a given size from a population with replacement, the means…

Q: Explain what a box and whisker plot is and how we use it to understand central tendency and…

A: Box and whisker plot:A type of graph used to display patterns of quantitative data is called a…

Q: Why does the mean inaccurately summarize a skewed distribution?

A: If the distribution is symmetric then mean is accurately summarized the data because it is exactly…

Q: explain normal distribution with examples?

A: The normal distribution is the most important probability distribution in Statistics because it fits…

Q: In a normal distribution, what percentage of scores falls below and score of -2.33

A:

Q: We calculate the central tendency and variability in order to provide a summary of a data set. Why…

A: While central tendency tells you where most of your data points lie, variability summarizes how far…

Q: Give an example of a distribution that might be  non-normal.

A: Any skewed distribution would be the example of non-normal distribution, for example chi-square, or…

Q: Define frequency distribution?

A: Frequency distribution, in statistics, a graph or data set organized to show the frequency of…

Q: what is the distribution of the coefficient of variation?

A: A coefficient of variance is used to determine the precision of an estimated value. It is primarily…

Q: What is Variability within Groups?

A: The term variability within groups is used in ANOVA technique, it is also known as error variance…

Q: discuss the shape of the distribution of the variable  WEIGHT.

A: From histogram we want to tell the shape of distribution

Q: What are the characteristics of a normal distribution?

A: Normal distribution- It is a frequency distribution curve. It is also called bell shaped curve. In…

Q: What is a distribution of means and how it differs from a population distribution?

A: The set of all possible values for a property, together with a mechanism to indicate how relatively…

Q: What is left skewed distribution

A: Here we have to define What is left skewed distribution.

Q: What is the shape of the distribution?

A: Shape of this distribution: If the data is equally distributed, then the shape of the distribution…

Q: How is a frequency distribution chart incorrectly constructed?

A: Here let us understand how do we construct a freuency distribution and then we look into rules of…

Q: a) Explain why this histogram follows a normal distribution? b) Based on the histogram, how many…

A: a) According to the law of central limit theorem as the number of n increases the data transforms…

Q: Can the measure of central tendency tell  a researcher how spread out the scores are in a…

A: Introduction:A measure of central tendency helps to identify the location of a dataset, whereas a…

Q: Explain in brief about Weibull distribution.

A:

Q: If the mean time to respond to a stimulus is much higher than the median time to respond, what can…

A: There can be three different shape of the distribution: 1) Positively skewed: Most of the values…

Q: What is the relationship between the standard deviation and variance?

A: