No.
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.
The mean.
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
The value is 0.3055
No. They are equal only if the distribution is symmetrical.
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.
No.
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.
The mean.
the mean
the mean %100
Difference (deviation) from the mean.
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.
When the data set consistys of a single value.
A standard deviation of zero means that all the data points are the same value.
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.
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