Which distribution has the highest 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.

How do you know which has the greatest standard deviation?

So, the largest standard deviation, which you want to put on top, would be the one where typically our data points are further from the mean and our smallest standard deviation would be the ones where it feels like, on average, our data points are closer to the mean.

What is considered a high standard deviation?

The higher the CV, the higher the standard deviation relative to the mean. In general, a CV value greater than 1 is often considered high. For example, suppose a realtor collects data on the price of 100 houses in her city and finds that the mean price is $150,000 and the standard deviation of prices is $12,000.

What has a greater standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

How do you find the largest possible mean?

Largest possible mean deviation

1. Finding the mean of all values.
2. Finding the distance of each value from that mean (subtracting the mean from each value, then taking the absolute value)
3. Finding the mean of those distances.

Can the standard deviation be greater than 1?

There is no “acceptable” standard deviation. It is just a measure of variation in a data set. Yes it can be greater than 1.

Which distribution has the smallest standard deviation?

The smallest standard deviation possible in a distribution is 0. This occurs when each element of the distribution is the same. A deviation is a data point’s distance from the distribution mean. If all points in the distribution are the same, then the mean is the same as each distribution point.

What is a high standard deviation?

How is standard deviation greater than mean?

Standard deviation greater than the mean can happen even if the data are not skewed. Skew is a different descriptor of the shape of the distribution. Positive and negative values are not relevant. This condition can happen for any mix of positive and negative values including all values being positive.

Can standard deviation be greater than Max?

But it makes no difference – in either case, mean + sd exceeds the largest possible proportion. This fact – that a normal approximation interval for the binomial can produce “impossible values” is often noted in books and papers. However, you’re not dealing with binomial data.