answersLogoWhite

0


Want this question answered?

Be notified when an answer is posted

Add your answer:

Earn +20 pts
Q: A single extremely large value can affect the median more than the mean.?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

Which level of measurement is required for the median?

It can be computer for ordinal level data or higher. It is NOT effected by extremely large or small numbers


What can the difference between mean and median values infer. If the mean is 8 655.7 and the median -8 653.0?

First, I will give an example, similar to your question: -11000 -9000 +44000 mean = 8,000 and median = -9000. Symmetrical distributions after infinite sampling will show no difference in mean and median. Large differences are possible with small sample sizes even with symmetrical distributions. If the sample is large and the difference is large, this infers that the distribution is asymmetrical. The skewness of the distribution can be calculated.


Is median used for when there is a wide range of numbers?

If the wide range is evenly spread between the very small and the very large (the distribution is symmetric) then there is not much to choose between the median and the mean. If not, the median will have some advantages as a measure of central tendency.


What does colossal mean?

It means extremely large.


What are outliers and how do they affect data?

Outliers are observations that are unusually large or unusually small. There is no universally agreed definition but values smaller than Q1 - 1.5*IQR or larger than Q3 + 1.5IQR are normally considered outliers. Q1 and Q3 are the lower and upper quartiles and Q3-Q1 is the inter quartile range, IQR. Outliers distort the mean but cannot affect the median. If it distorts the median, then most of the data are rubbish and the data set should be examined thoroughly. Outliers will distort measures of dispersion, and higher moments, such as the variance, standard deviation, skewness, kurtosis etc but again, will not affect the IQR except in very extreme conditions.

Related questions

A single, extremely large value can affect the median more than the mean?

A single, extremely large value can affect the median more than the mean because One-half of all the data values will fall above the mode, and one-half will fall below the mode. In a data set, the mode will always be unique. The range and midrange are both measures of variation.


When data includes a few extremely large or extremely small value it might be best to use a median value from the sample?

true


Which level of measurement is required for the median?

It can be computer for ordinal level data or higher. It is NOT effected by extremely large or small numbers


How the values of mean and median relate to shape?

The question is how do the mean and median affect the distribution shape. In a normal curve, the mean and median are both in the same point. ( as is the mode) If a distribution is skewed, its tail is either on the right or the left. If a distribution is skewed the median may be a better value to use than the mean since it has less effect on the shape. Also is there are large outliers, the median has less effect and is better to use. So the mean has a bigger effect on the shape many times than the median.


How much does it cost to buy homes in Phoenix?

The home prices in the Phoenix area have a large range. However, in the fourth quarter of 2010, the median home price for a single family home in Phoenix was $289, 515.


What is collosal?

Extremely large.


What can the difference between mean and median values infer. If the mean is 8 655.7 and the median -8 653.0?

First, I will give an example, similar to your question: -11000 -9000 +44000 mean = 8,000 and median = -9000. Symmetrical distributions after infinite sampling will show no difference in mean and median. Large differences are possible with small sample sizes even with symmetrical distributions. If the sample is large and the difference is large, this infers that the distribution is asymmetrical. The skewness of the distribution can be calculated.


What is the pop with the most sugar?

All pops have an extremely large amount of sugar but Coca Cola have an extremely large amount of sugar.


What is the Median house Condo value in the US?

The median house condo value in the US varies greatly with the location. In some areas the median value is about 170,000 dollars while in large cities the value can be well over 500,000 dollars.


Is median used for when there is a wide range of numbers?

If the wide range is evenly spread between the very small and the very large (the distribution is symmetric) then there is not much to choose between the median and the mean. If not, the median will have some advantages as a measure of central tendency.


Extremely large text on Photoshop CS4?

You have to make a very large image, then choose the text option and set the size to something over 150 for extremely large text


What is a gargantuan?

Someone EXTREMELY large in size