If a data set consists of 1000 different values can the mean and the median be the same
Median
the median
when there are extreme values in the data
It is halfway along the distribution of set values. There are as many members of the set with values smaller than the median as there are with values bigger than it.
If a data set consists of 1000 different values can the mean and the median be the same
Yes.
Median
the median
The middle value in a data set is the median. If there are an even number of values in the set, you average the middle two values to get the median.
Because they are both measures of the same characteristic - the central tendency.
when there are extreme values in the data
Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong
It is halfway along the distribution of set values. There are as many members of the set with values smaller than the median as there are with values bigger than it.
The median of a set of values or data is the value which lies half-way along the series when it is arranged in ascending or descending order. If there are an even number of data entries then the median is the mean of the middle two values. 1) If there are an odd number of values then there will be the same number of values higher than the median as there are below the median. An increase of 2 to each member of the set does not affect the order and the existing median remains the middle placed value So, 20 becomes 22. 2) Where there are an even number of values then both middle values will increase by 2 (a total increase of 4). The median is the mean of these two values and therefore increases by 2 (as the increase of 4 ÷ 2 = 2). So, 20 becomes 22.
Mean is the average of the data set values. Median is the middle number in the data set (set up in ascending or descending order). Mode is the data value (or values) that occur the most number of times.
The median is the middle of average of the middle two values from the ordered set of observations. If the extreme values are genuine then they will have no effect on the median. If they are incorrectly measured or recorded data then they may affect the position of the middle of the ordered set of data. However, since there can only be a small number of outliers, their effect on the median will be small.