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There is only one median in a set of values. If it is an odd amount of values, the median is the middle number. If there is an even amount of numbers, the median is the value halfway between the two middle numbers. So, in 1, 2, 3; the median is 2. In 1, 2, 3, 4; the median is 2.5, as that is halfway between 2 and 3.
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Why is the median a more stable measure of central tendency than the mean?
in general,mean is more stable than median but in the case of extreme values it is better to consider median a stable measure than mean.
The point of intersection of the less than and more than ogive corresponds to 1.geometric mean 2.mode 3. median 4.none of the above?
median
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
Which is larger the mean or the median?
Either one can be larger (or smaller) than the other.
When skewed right is the mean greater than median?
When a distribution is skewed to the right, the mean is greater than median.
Can there be more than one median to a number?
No and a single number cannot have a median either you need a series (at least two) to have a median.
Why is the median a more stable measure of central tendency than the mean?
in general,mean is more stable than median but in the case of extreme values it is better to consider median a stable measure than mean.
When is the median more useful than the mean?
When the distribution has outliers. They will skew the mean but will not affect the median.
Can a mean average ever be higher than a median average?
Yes. If the predominant data are higher than the median, the mean average will be higher than the median average. For example, the median average of the numbers one through ten is five. The mean average is five and one-half.
Can there be more than one median in a data set?
No.There is only 1 middle value.If there are an odd number of elements in the data set, the median is the middle one;Otherwise there are an even number of elements in the data set and the median is the mean average of the middle two (add them together and divide by 2).The median value can occur more than once in the data set, eg in {2, 5, 5, 5, 6, 7} the median is 5 ((5 + 5)/2 = 5) with a frequency of 3, but it is still only one value.
What is the median of 23 24 26 29?
Median is the middle number in a group of numbers. If there more than one middle number, the median is either shown as average of the two numbers in the middle or shown as both the numbers. The median in 23 24 26 29 is 25 or {24;26}.
If you have more than one median what do you do?
If you have an even set of data then there are two middle numbers or medians. Average those two and create a median. Example: 2,3,4,7,9,10 4 and 7 are in the middle. (4+7)/2=5.5 5.5 is the median even though it is not one of the numbers in the data set.
What does the point of intersection of less than ogive and more than ogive correspond to?
the intersection of less and more than ogive gives us the median of the following data.. but the median is not accurate as we draw the free hand cumulative graph..
The point of intersection of the less than and more than ogive corresponds to 1.geometric mean 2.mode 3. median 4.none of the above?
median
How will you find the median and the total frequency from the graph of less than ogive and more than ogive?
The median can be found out by drawing a perpendicular to the x-axis from the intersection point of both the ogives
In general the median of a data set is more resistant to outliers than the mean.?
Yes, it is.
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
