It is widely claimed that a histogram is skewed to the left when the median is greater than the mean and to the right when the median is less than the mean. But there are exceptions to this claim. Demonstrate this exception by creating a data set that has at least 15 samples and plot the histogram.

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: Does the sample median tend to target the population variance

A: If the original distribution is normal, the sample mean will also be normal, with variance , where n…

Q: Where are most of the data gathered in a negatively skewed distribution? Which value is larger, the…

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Q: For a strongly skewed right distribution, how are the mean and median different ?

A: It is an important part of statistics. It is widely used.

Q: Having outliers in our data may affect the IQR but the sample range is unchanged O True O False

A: The IQR and sample range are defined as IQR = Q3 - Q1 Sample range = Maximum - Minimum Note : Since…

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: What sorts of follow up questions about the statistics might you ask that person in order to obtain…

A: The validity of statement gives information about precise and exact results obtained from data.…

Q: What is an everyday example of variance within samples?

A: If we need to know the variance within samples, we need to use ANOVA Test.

Q: Could two samples have the same range but different means? Explain.

A: Yes, Two samples have the same range but different means.

Q: The difference between the mean of the sampling distribution of a statistic and the true parameter…

A: We have given that, The difference between the mean of the sampling distribution of a statistic and…

Q: The median for the dataset used to create this histogram could possibly be in which range?

A: Frequency Distribution table : Class Frequency Cumulative Frequency 2-4 1 1 4-6 4 1+4=5 6-8…

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: What caution is must for finding the median for ordered qualitative data?

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Q: If a data set has 25 values and a standard deviation 7.4, what is the variance?

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Q: What is the drawback of summarizing the data using the median

A: Median: Median is the middle value of the set of numbers. The set of numbers should be arranged in…

Q: For his statistics assignment, Johnson examined differences in quality of grades obtained by…

A: Johnson examined differences in quality of grades obtained by students on the regular program of a…

Q: If there is a large amount of variation, then on average, the data values will be far from the mean.…

A: The given statement is 'If there is a large amount of variation, then on average, the data values…

Q: Which kind of descriptive statistics can be included to summarize the quantitative data? if the…

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Q: When trying to summarize a set of numerical data, why is giving a measure of center such as the mean…

A: Introduction: A measure of central tendency of data is a measure of the tendency of the values to…

Q: What type of graphs are suitable for displaying the mean, median, variance and standard deviation

A: Graphical displays complement tabular presentations of descriptive statistics. Generally, graphs are…

Q: When we estimate to the population from sample data (as we do with inferential statistics), why are…

A:

Q: If the variance of a national accounting examination is 828, how large a sample is needed to…

A: Given data: Variance  = 828 Margin of error = 4 points Confidence level = 99 % To calculate the…

Q: What statistical calculation, which results in the same units as the measured data, represents the…

A: Introduction: For a random variable X taking n sample values, the sample variance is given by the…

Q: Dr. Matos sampled her statistics classes and recorded whether each student worked full-time,…

A: Given: out of 20 students Did not work = 3 Worked Full-time = 10 Part time = 7

Q: Is there any skewness suggested by the mean, mode and median of the ungrouped data?

A: Skewness means lack of symmetry. The values of mean, median and mode fall at different points, they…

Q: Which of the following is not affected by extreme value in the data? variance range median mean

A:

Q: please explain how to use the standard deviation from the 1-Var Stats statistical output to obtain…

A: Hint:  Standard devation =Variance

Q: A histogram of a set of data indicates that the distribution of the data is skewed right. Which…

A: Correct Option: C

Q: After your research study your learned that there is a 6-point difference between two sample means.…

A: The effect size is the ratio of mean difference to the standard deviation.

Q: Why is that the mean (µ)  and standard deviation (σ) of populations are difficult/ impossible to…

A: Introduction :-  Here we have to describe or to give reasons to question why population study is…

Q: If there are outliers, then the mean will be greater than the median.

A: Consider the given statement, "If there are outliers, then the mean will be greater than the…

Q: As sample size gets smaller, what happens to the magnitude of the correlation necessary for…

A: Magnitude of Correlations is the absolute value of r which represents the strength of association.…

Q: does this mean that the answer saying "The sample statistic equation is correct to use when the data…

A: Yes you are correct. The sample is the the subset of the population.

Q: Let's use the data from the previous question. Make sure to document, the mean, Variance and SD.

A: Solution-: We find mean, variance and standard deviation of given score of students.

Q: Roughly speaking, what are the normal scores corresponding to a sample of observations?

A: The normal scores corresponding to a sample of observations are observations and expect same sample…

Q: In a distribution plot, if mean is much smaller than median, does the underlying sample have very…

A: Outliers- It is an observation or a value that lies outside from the population or which is far away…

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: Having outliers in our data may affect the IQR but the sample range is unchanged True False

A: The sample range is defined as Range = Max - min. And the IQR is calculated as IQR = Q3 - Q1

Q: Do researchers prefer to report the variance instead of the standard deviation because it is easier…

A: No, researchers prefer using standard deviation because standard deviation is in the same units as…

Q: The fuel efficiency, in miles per gallon, of 10 small utility trucks was measured. The results are…

A: Given the values 22, 25, 23, 27, 15, 24, 24, 32, 23, 22, 25, 22. We need to find the variance of…

Q: Explain why we cannot calculate the mean and standard deviation for scores on a categorical…

A: Variables:They can be classified into two typesCategorical (Qualitative)Quantitative

Q: _________ are used to display actual data points for individual-level data. Would this answer be…

A: Univariate Statistics:Univariate data is that the data information is depends on only one random…

Q: The mean of the distribution of sample means would be equal to:

A: The mean of the distribution of sample means would be equal to ?

Q: Too many outliers on our sample data is acceptable as long as data are summarized and presented by…

A:

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: A critical part of inferential statistics involves determining how far sample statistics are likely…

A: Inferential statistics have two main uses: making estimates about populations (for example, the…

Q: What is the mean difference between the samples?

A: Test is that whether the mean number of mass transit trips is equal for both neighborhoods. Note :…

Q: Explain the concept of Range Restriction, and the issue it may pose to correlation statistics

A: The restricted range occurs when the range of the data from a variable is limited. Thus restricting…