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When they are arranged in order, it is the number halfway between the 500th and 501st value.

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Q: What is the median of 1000 data values?
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Is the mean equal to the median in a data set consisting of 1000 values that are all different?

If a data set consists of 1000 different values can the mean and the median be the same


Can the mean be equal to the median in a data set consisting of 1000 values that are all different?

Yes.


The middle values in a data set?

Median


What are the middle values in a data set?

the median


What is the middle value or average of the two middle values in a data set?

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.


Why can the mean be equal to the median in a data set consisting of 1000 values that are all different?

Because they are both measures of the same characteristic - the central tendency.


Why it is useful to fiNd the meaN mediaN aNd mode of a set of data?

when there are extreme values in the data


Can the mean be smaller than the median for a set of 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


What is the significance of the median value for a set of 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.


Median of a data is 20 If each is obesrvation in the data is increased by 2 then what is the new median. Need descriptive answer?

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.


Definition of mean median and mode?

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.


Why is the median more robust for extreme values?

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.