true
A large sample will reduce the effects of random variations.
A disadvantage to a large sample size can skew the numbers. It is better to have sample sizes that are appropriate based on the data.
large
The sample must be large and random.
at a large university a simple random sample of 5 female proffesors is seleted and a simple random sample of 10 male professors is selected. the two samples are combine to give an overall sample of 15 professor. the overall sample is?
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.
It can be computer for ordinal level data or higher. It is NOT effected by extremely large or small numbers
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.
A large sample will reduce the effects of random variations.
If the sample is small or not randomly chosen, it may not have much meaning at all. If the random sample is large, it would generally be inferred that the distribution is symmetrical. The skewness of the data can be calculated.
Alot
"The advantage is that the mean takes every value into account. A disadvantage is that it can be affected by extreme values. " The mean or more properly the "arithmetic mean" of a sample will eventually approximate the mean of the distribution of the population as the sample size increases. If the population distribution is skewed (not symmetrical), the mode and median will not provide an estimate of the mean, even as the sample size becomes large.
A disadvantage to a large sample size can skew the numbers. It is better to have sample sizes that are appropriate based on the data.
large
PCR
The sample must be large and random.
The larger the sample of data collected leads to a more accurate conclusion.