Can two samples have the same range?

Can two samples have the same range?

Could two samples have the same range but different means? Yes, the mean does not reflect the distribution of numbers.

Can two samples have the same mean but different standard deviations?

2 Answers. Given two samples that have the same mean, standard deviation, and N: are the values in each sample identical? In general, not unless N=2 in both samples. If N is larger than 2, they can differ.

Can two groups have the same mean but different variance?

Yes, absolutely! Both the median and mean are measures of “central tendency”, whereas the standard deviation measures spread around this measure. So yes, it’s definitely possible to have the same mean/median but completely different spreads around this.

When two data sets have the same meaning?

Though the two data sets have the same mean, the second data set has a higher standard deviation. This means that scores in that data set will be more spread out around the mean value of 50 compared to the first data set. If you think of a normal distribution, it will help make the point clear.

Can a data set have the same median and mode?

The mean is the measure of central tendency most likely to be affected by an outlier. Some quantitative data sets do not have medians. A data set can have the same mean, median, and mode. When each data class has the same frequency, the distribution is symmetric.

Is it possible for two or more sets of values to have the same standard deviation and variance?

It is possible for two or more sets of values to have the same standard deviation and variance. The variance is equal to the square of standard deviation. The standard deviation is equal to the square of the variance.

What percentile is 2 standard deviations above the mean?

98th percentile

Is 2 standard deviations significant?

When a difference between two groups is statistically significant (e.g., the difference in selection rates is greater than two standard deviations), it simply means that we don’t think the observed difference is due to chance.

What is the meaning of 80 percentile?

Example: You are the fourth tallest person in a group of 20 80% of people are shorter than you: That means you are at the 80th percentile. If your height is 1.85m then “1.85m” is the 80th percentile height in that group.

What IQ is 95th percentile?

IQ 125 is at the 95th percentile – 95% of people have an IQ equal to or less than 125. This means 5% of the population score higher.