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In a normal distribution the mean, median and mode are all the same value.

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All three are the same.

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Q: In a normally distributed data set which is greater mean median or mode?
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Can the median be greater than the 1st quartile in a data set with 1000 values?

The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.


How do you assess if data is normally distributed?

The easiest way to tell if data is normally distributed is to plot the data.line plot apex


Can the median ever be higher than the mean?

Yes, the median can be greater than the mean. It just depends on the values of the data. A simple series of 1,5,6 has 5 as the median, with a mean of 4.


How do you interpret a KSL or Kolmogorov-Smirnov-Lilliefors test?

If the test result is significant (Lower than or equal to 0.05) = The data is not normally distributed... If the test result is not significant (Higher than 0.05) = The data is normally distributed... This synchronize with the Statistical Hypothesis Assumption (Ho and Ha) Ho means "Nothing Happen" and Ha means "Something Happen" then for KSL and Shapiro Wilk test of normality assumption also.... If the test result reject Ha and accept Ho means "NOTHING HAPPEN" to data or the data is normally distributed but if the result reject Ho and accept Ha means "SOMETHING HAPPEN" to data or in this case the data is NOT normally distributed. Dr.Tanarat Thiengkamol (send2nude@gmail.com)


If a particular batch of data is approximately normally distributed you would find that approximately?

d. All the above.

Related questions

Can the median be greater than the 1st quartile in a data set with 1000 values?

The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.


How do you assess if data is normally distributed?

The easiest way to tell if data is normally distributed is to plot the data.line plot apex


What does the median of a set of data tell you?

The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.


What are the best statistics to use for data that is normally distributed?

The mean and standard deviation. If the data really are normally distributed, all other statistics are redundant.


What does the median tell you about the data?

The median, by definition, tells you the "half way point" of your data. Exactly half of the observations in the dataset will be less than the median and half will be greater than the median.


What is the appropriate measure of average that must be used?

The appropriate measure of average that must be used depends on the type of data being analyzed and the research question being asked. For example, if the data is numerical and normally distributed, the mean is often used as the measure of average. If the data includes outliers or is not normally distributed, the median may be a more appropriate measure of average. Similarly, if the data is categorical or ordinal, the mode may be the appropriate measure of average.


Is a type of data that is likely to be normally distributed?

The means of repeated samples from any population.


Why do population follow normal distribution?

The form of this question incorportates a false premise. The premise is that the data are normally distributed. Actually, is the sample mean which, under certain circumstances, is normally distributed.


Can the median ever be higher than the mean?

Yes, the median can be greater than the mean. It just depends on the values of the data. A simple series of 1,5,6 has 5 as the median, with a mean of 4.


If data are normally distributed does the range give you a rough idea about the standard deviation of the sample?

Yes, the range gives you an idea of the S.D. Assuming that the largest and smallest data points are not "outliers," a set of data with a wide range will have a greater S.D. than a set with a narrow one.


What must be true about data in order to use the tools of the normal curve?

it must be normally distributed


What should a well-constructed histogram reveal to you?

Whether or not the data are normally distributed and the Customer expectations.