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Yes.

Consider

1,1,1,1,1,3,5,5,5,5,5

and

0,3,3,3,3,3,3,3,3,3,5

Set 1: Range = 4, sd = 2.00

Set 2: Range = 5, sd = 1.14

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Can you have a standard deviation of 435000?

Yes, a standard deviation of 435,000 is possible and indicates a high level of dispersion in a dataset. Standard deviation measures the amount of variation or spread in a set of values; thus, if the data points are widely spread apart from the mean, a large standard deviation can occur. This could be typical in datasets with large values, such as income or real estate prices.


What is the small and large value of standard deviation?

The small value of standard deviation indicates that the data points are closely clustered around the mean, suggesting low variability within the dataset. Conversely, a large standard deviation signifies that the data points are widely spread out from the mean, indicating high variability. In essence, a smaller standard deviation reflects consistency, while a larger one reflects diversity in the data.


Is The standard deviation of all possible sample proportions increases as the sample size increases?

The standard deviation would generally decrease because the large the sample size is, the more we know about the population, so we can be more exact in our measurements.


What does large standard deviation signify?

That there is quite a large amount of variation between the observations.


What is percentile deviation?

A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.

Related Questions

What a large standard deviation means?

A large standard deviation means that the data were spread out. It is relative whether or not you consider a standard deviation to be "large" or not, but a larger standard deviation always means that the data is more spread out than a smaller one. For example, if the mean was 60, and the standard deviation was 1, then this is a small standard deviation. The data is not spread out and a score of 74 or 43 would be highly unlikely, almost impossible. However, if the mean was 60 and the standard deviation was 20, then this would be a large standard deviation. The data is spread out more and a score of 74 or 43 wouldn't be odd or unusual at all.


Can you have a standard deviation of 435000?

Yes, a standard deviation of 435,000 is possible and indicates a high level of dispersion in a dataset. Standard deviation measures the amount of variation or spread in a set of values; thus, if the data points are widely spread apart from the mean, a large standard deviation can occur. This could be typical in datasets with large values, such as income or real estate prices.


Is the standard deviation best thought of as the distance from the mean?

No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.


How does a sample size impact the standard deviation?

If I take 10 items (a small sample) from a population and calculate the standard deviation, then I take 100 items (larger sample), and calculate the standard deviation, how will my statistics change? The smaller sample could have a higher, lower or about equal the standard deviation of the larger sample. It's also possible that the smaller sample could be, by chance, closer to the standard deviation of the population. However, A properly taken larger sample will, in general, be a more reliable estimate of the standard deviation of the population than a smaller one. There are mathematical equations to show this, that in the long run, larger samples provide better estimates. This is generally but not always true. If your population is changing as you are collecting data, then a very large sample may not be representative as it takes time to collect.


What is the small and large value of standard deviation?

The small value of standard deviation indicates that the data points are closely clustered around the mean, suggesting low variability within the dataset. Conversely, a large standard deviation signifies that the data points are widely spread out from the mean, indicating high variability. In essence, a smaller standard deviation reflects consistency, while a larger one reflects diversity in the data.


Is The standard deviation of all possible sample proportions increases as the sample size increases?

The standard deviation would generally decrease because the large the sample size is, the more we know about the population, so we can be more exact in our measurements.


In research how to define standard deviation?

Standard deviation shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.


How is standard deviation different from mean absolute decation?

If I have understood the question correctly, despite your challenging spelling, the standard deviation is the square root of the average of the squared deviations while the mean absolute deviation is the average of the deviation. One consequence of this difference is that a large deviation affects the standard deviation more than it affects the mean absolute deviation.


What does large standard deviation signify?

That there is quite a large amount of variation between the observations.


What is percentile deviation?

A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.


Is the standard deviation higher than the beta in a stock's returns?

The standard deviation and beta measure different aspects of a stock's returns. Standard deviation quantifies the total volatility or risk of a stock's price movements, while beta measures the stock's sensitivity to market movements. It is possible for the standard deviation to be higher than beta, especially for stocks that have high volatility relative to the market but do not correlate strongly with market movements. Conversely, stocks with a low beta may have a high standard deviation if they experience large price swings independent of market trends.


Can standard deviation be calculated for non normal data?

Standard deviation can be calculated using non-normal data, but isn't advised. You'll get abnormal results as the data isn't properly sorted, and the standard deviation will have a large window of accuracy.