# Which normal distribution has a larger standard deviation?

## Which normal distribution has a larger standard deviation?

A smaller standard deviation indicates that the data is tightly clustered around the mean, the normal distribution will be taller. A larger standard deviation indicates that the data is spread out around the mean, the normal distribution will be flatter and wider.

## Which set of data has the greatest standard deviation?

Data Set EData Set E has the larger standard deviation. Sample answer: Data Set E has its highest concentration of data between class intervals 0 to 1 and 4 to 5, the class intervals that are farthest from the mean. A high proportion of the data from Data Set D is concentrated from 1 to 3, close to the mean of 2.5.

## Which normal distribution has a larger mean?

The normal distribution with a mean of 1 and standard deviation of 3 will be wider than a distribution with a mean of 3 and standard deviation of 1. The distribution with a greater standard deviation indicate greater variability/spread of its variables around the mean.

## Which distribution has lowest standard deviation?

, Mathlete gone pro. Originally Answered: what is the shape of normal distribution when standard deviation is least? The short answer is the Dirac delta function. For any distribution, the smallest possible value for the standard deviation is zero.

## Which histogram has the largest standard deviation?

The standard deviation is a measure of how far points are from the mean. The first histogram has more points farther from the mean (scores of 0, 1, 9 and 10) and fewer points close to the mean (scores of 4, 5 and 6). So it will have the larger standard deviation.

## Which histogram has a higher standard deviation?

Histogram B depicts the higher standard deviation,because the distribution has more dispersion.

## How do you know which graph has the greatest standard deviation?

A standard deviation close to 0 indicates that the data points tend to be close to the mean (shown by the dotted line). The further the data points are from the mean, the greater the standard deviation.

## What is the biggest advantage of the standard deviation over the variance?

Variance helps to find the distribution of data in a population from a mean, and standard deviation also helps to know the distribution of data in population, but standard deviation gives more clarity about the deviation of data from a mean.

## How do you know if a histogram has a larger standard deviation?

When the data is flat, it has a large average distance from the mean, overall, but if the data has a bell shape (normal), much more data is close to the mean, and the standard deviation is lower.

## How do you find the greatest standard deviation of the distribution?

The more spread out a data distribution is, the greater its standard deviation. Interestingly, standard deviation cannot be negative. A standard deviation close to 0 indicates that the data points tend to be close to the mean (shown by the dotted line).

## Which histogram shows lowest standard deviation?

To begin to understand what a standard deviation is, consider the two histograms. Histogram 1 has more variation than Histogram 2. In the first histogram, the largest value is 9, while the smallest value is 1. The overall range of data is 9 – 1 = 8….Standard Deviation.Length (X)Deviation from Average (X- X)88 – 4.8 = 3.2

## Which histogram has the highest standard deviation?

Why? Histogram B depicts the higher standard deviation,because the distribution has more dispersion.

## Why standard deviation is preferred over mean deviation?

May be for the same reason, standard deviation is preferred over the mean deviation in the manufacturing and service industries. Secondly, the lower and upper control limits in the control chart for mean that is popularly used for quality control for variables is based on standard deviation and not mean deviation.

## Why does the normal distribution occupy the most Honourable position in statistical analysis?

The normal distribution, also known as the Gaussian distribution, is the most important probability distribution in statistics for independent, random variables. It is the most important probability distribution in statistics because it accurately describes the distribution of values for many natural phenomena.

## Why standard deviation is most preferred?

The standard deviation and variance are preferred because they take your whole data set into account, but this also means that they are easily influenced by outliers. For skewed distributions or data sets with outliers, the interquartile range is the best measure.

## Is mean Better than standard deviation?

Yes, the SD could be greater than its mean, and this might indicates high variation between values, and abnormal distribution for data. in such case, it is advisable to use median and range instead of Mean and standard deviation to describe your data.

## What is standard deviation in normal distribution?

The standard deviation is the measure of how spread out a normally distributed set of data is. It is a statistic that tells you how closely all of the examples are gathered around the mean in a data set. The shape of a normal distribution is determined by the mean and the standard deviation.

## Is standard deviation only for normal distribution?

Normal distribution’s characteristic function is defined by just two moments: mean and the variance (or standard deviation). Therefore, for normal distribution the standard deviation is especially important, it’s 50% of its definition in a way.