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Does the median have 50 percent of the cases below only in a normal distribution?
No. By definition of the median, the median has 50 percent of the case below and 50 percent of the cases above. This has nothing to do with the cases being in a normal distribution.
In a standard normal distribution about percent of the scores fall above a z-score of 3.00?
0.13
What is the difference between minimum and lower quartile?
Consider the data: 1, 2, 2, 3, 4, 4, 5, 7, 11, 13 , 19 (arranged in ascending order) Minimum: 1 Maximum: 19 Range = Maximum - Minimum = 19 - 1 = 18 Median = 4 (the middle value) 1st Quartile/Lower Quartile = 2 (the middle/median of the data below the median which is 4) 3rd Quartile/Upper Quartile = 11 (the middle/median of the data above the median which is 4) InterQuartile Range (IQR) = 3rd Quartile - 1st Quartile = 11 - 2 = 9
What would -2 standard deviation below the mean be?
It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.
Under what circumstances would a score that is located 5 points above the mean be considered relatively close to the mean?
The answer depends on the underlying distribution and variability in the observations. For example, if the distribution is negatively skewed then 5 points above the mean is much more significant than 5 points below the mean. Next, looking at variablity: if almost all the scores are within -1 and +1 of the mean, then a score of 5 points above the mean is very significant but if the variance is 25, for example, then 5 points above the mean is one standard deviation from the mean: for a Normal distribution around a third of the observations would be further away - that is no big deal and so a score of mean+5 would be considered relatively close to the mean.
What is upper quartile?
The upper quartile is the 75% point of the variable. That is, it is the point with 75% of the observations below it and 25% of the observations above it. The upper quartile is the upper 25% of the data.
What does upper quartile mean?
The upper quartile is the 75% point of the variable. That is, it is the point with 75% of the observations below it and 25% of the observations above it.
Why do you multiply the interquartile range by 1.5 to find the outlier?
By definition a quarter of the observations are below the lower quartile and a quarter are above the upper quartile. In all, therefore, half the observations lie outside the interquartile range. Many of these will be more than the inter-quartile range (IQR) away from the median (or mean) and they cannot all be outliers. So you take a larger multiple (1.5 times) of the interquartile range as the boudary for outliers.
What is the definition of skewed distribution?
Probability distribution in which an unequal number of observations lie below (negative skew) or above (positive skew) the mean.
What is the above 25 percent quartile?
A range of data is split into 4 parts.0-25%25-50%50-75%75%-100%being above the 25% quartile means that 25% of all tested or categorized subjects are below the person in question.
What percentage of the data set that lies above the second quartile?
50%. The second quartile is the median.
When should you throw out an outliers?
If the result is 1.5 x Inter Quartile Range (or more) above the Upper Quartile or 1.5 x Inter Quartile Range (or more) below the Lower Quartile.
Does the median have 50 percent of the cases below only in a normal distribution?
No. By definition of the median, the median has 50 percent of the case below and 50 percent of the cases above. This has nothing to do with the cases being in a normal distribution.
In a standard normal distribution about percent of the scores fall above a z-score of 3.00?
0.13
What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
What is the measure of quartile deviation?
A quartile deviation from some specified value, is the value or values such that a quarter of the observed values fall between these values and the specified value. Usually, but not always, the specified value is the median - the value such that have the observed values are below (and above) it. In that case, one quartile values will have a quarter of the values below it and the other will have a quarter of the values above it. The quartile deviations will be the differences between median and the two quartiles just calculated.
What percent Eosinophils is high?
2 to 4% is normal. So anything above this is considered to be high. However this should be correlated with clinical observations also.
