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No, because the average is all of the numbers added up and divided by the number of numbers. For example: 25,40, and 55 add up to 120. When divided in this case, the mean is 40. But: Say you have 70,90, and 101 when added it comes to 261. When divided, the answer is 87. Since 87 is not one of the values, the mean is not always equal to a value in the data set.
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Simha Sailam
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Kamron Roberts
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Which measures of central location always have only one value for a set of grouped or ungrouped data?
Mean and median are the measures of central location that always have one value. This is true for a set of grouped or ungrouped data.
For which measure of central location will the sum of the deviations of each value from the data's average will always be zero?
The mean.
Is the mean of the grouped data is equal to the mean of ungrouped data?
Suppose you compare the mean of raw data and the mean of the same raw data grouped into a frequency distribution. These two means will be
What value corresponds to the 38 percent of the data between the mean and the z value?
The value is 0.3055
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
For a given data set the mean and median are always nearly equal?
No.
Which measures of central location always have only one value for a set of grouped or ungrouped data?
Mean and median are the measures of central location that always have one value. This is true for a set of grouped or ungrouped data.
For which measure of central location will the sum of the deviations of each value from the data's average will always be zero?
The mean.
Which measure of central location will the sum of the deviations of each value from the data's average always be zero?
the mean
Which measure of central location will the sum of the deviation of each value from the data's average will always be zero?
the mean %100
What is the sum of all deviations of a data value from a measure of central location that will always be zero?
Difference (deviation) from the mean.
When can the mean be the largest value in the data set?
When the data set consistys of a single value.
For a distribution always mean exists?
No, not always. It depends on the type of data you collect. If it is quantitative data, you will be able to calculate a mean. If it is qualitative data, a mean can't be calculated but you can describe the data in terms of a mode.
What would it mean if a standard deviation was calculated to equal 0?
A standard deviation of zero means that all the data points are the same value.
Is the mean of the grouped data is equal to the mean of ungrouped data?
Suppose you compare the mean of raw data and the mean of the same raw data grouped into a frequency distribution. These two means will be
What is the least value of the data set?
The least value of the data set is called the minimum.
What is the use of statistical mean in industry?
For different sets of data, the mean would be the summation of all observations, which are normally subdivided by the observation numbers. The mean value would frequently be quoted with standard deviations: mean would describe data central locations then standard deviations illustrate the spread. Substitute dispersion measures include mean variations that are always equal to average absolute deviations from the mean values. It is minimally responsive to the outliers. Hope this helps.
