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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.
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
What is the deviation from the mean of 3?
The deviation from the mean of a dataset is calculated by subtracting the mean from each individual data point. If the mean of the dataset is 3, then the deviation from the mean for that value is 0, as it is equal to the mean. If you are referring to a specific value other than the mean, the deviation would be that value minus 3.
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.
The median and mean of a data set can be the same value why or why not?
The median and mean of a data set can be the same when the data is symmetrically distributed, such as in a normal distribution. In this case, the mean accurately reflects the central tendency of the data, and the median, being the middle value, aligns with it. However, in skewed distributions, the mean and median can differ significantly due to the influence of outliers. Thus, while they can be equal, it depends on the distribution characteristics of the data set.
What are all the values that a mean x can possibly take?
The mean ( x ) of a dataset can take any value within the range of the data, depending on the values of the individual data points. Specifically, it can be equal to the minimum value of the dataset if all data points are equal to this minimum, and it can approach the maximum value if the dataset includes very large values relative to other points. In a broader sense, the mean can be any real number, provided the dataset is appropriately constructed. It is also influenced by the number of data points and their distribution.
When can the mean be the largest value in the data set?
When the data set consistys of a single value.
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.
