false
Because the average deviation will always be zero.
You cannot because the median of a distribution is not related to its standard deviation.
Standard deviation is generally considered better than range for measuring dispersion because it takes into account all data points in a dataset, rather than just the extremes. This allows standard deviation to provide a more comprehensive understanding of how data points vary around the mean. Additionally, standard deviation is less affected by outliers, making it a more robust measure of variability in most datasets. In contrast, range can be misleading as it only reflects the difference between the highest and lowest values.
Because the z-score table, which is heavily related to standard deviation, is only applicable to normal distributions.
Because the standard deviation is one of the two parameters (the other being the mean) which define the Normal curve. The mean defines the location and the standard deviation defines its shape.
Strictly speaking, none. A quartile deviation is a quick and easy method to get a measure of the spread which takes account of only some of the data. The standard deviation is a detailed measure which uses all the data. Also, because the standard deviation uses all the observations it can be unduly influenced by any outliers in the data. On the other hand, because the quartile deviation ignores the smallest 25% and the largest 25% of of the observations, there are no outliers.
The mean and standard deviation often go together because they both describe different but complementary things about a distribution of data. The mean can tell you where the center of the distribution is and the standard deviation can tell you how much the data is spread around the mean.
The square of the standard deviation is called the variance. That is because the standard deviation is defined as the square root of the variance.
You cannot because the standard deviation is not related to the median.
Because the average deviation will always be zero.
B because the spread, in this case standard deviation, is larger.
You cannot because the median of a distribution is not related to its standard deviation.
Standard deviation is generally considered better than range for measuring dispersion because it takes into account all data points in a dataset, rather than just the extremes. This allows standard deviation to provide a more comprehensive understanding of how data points vary around the mean. Additionally, standard deviation is less affected by outliers, making it a more robust measure of variability in most datasets. In contrast, range can be misleading as it only reflects the difference between the highest and lowest values.
Because the z-score table, which is heavily related to standard deviation, is only applicable to normal distributions.
An acceptable standard deviation depends entirely on the study and person asking for the study. The smaller the standard deviation, the more acceptable it will be because the less likely there are to be errors.
standard deviation is best measure of dispersion because all the data distributions are nearer to the normal distribution.
Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller.