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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.
What else can I help you with?
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.
Can the mean be greater than the greatest value in the data set?
No, the mean cannot be greater than the greatest value in a data set. The mean is calculated by summing all the values and dividing by the number of values, which means it will always fall within the range of the data set. Therefore, the mean will always be less than or equal to the maximum value.
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.
Which measure of central location will the sum of the deviations of each value from the data's average always be zero?
the mean
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.
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.
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
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.
