Wrinkles

What’s a low standard deviation?

Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

Is 5 a low standard deviation?

The responses are on a five point Likert scale: 5 = Very Good, 4 = Good, 3 = Average, 2 = Poor, 1 = Very Poor, The mean score is 2.8 and the standard deviation is 0.54.

Is 2 a low standard deviation?

Around 95% of values are within 2 standard deviations of the mean. Around 99.7% of values are within 3 standard deviations of the mean.

What does a standard deviation less than 1 mean?

If my standard deviation and variance are above 1, the standard deviation will be smaller than the variance. But if they are below 1, the standard deviation will be bigger than the variance.

Is 0.4 A good standard deviation?

The mean for a group of ten respondents (labeled 'A' through 'J' below) for "good value for the money" was 3.2 with a SD of 0.4 and the mean for "product reliability" was 3.4 with a SD of 2.1. … The distribution of responses is important to consider and the SD provides a valuable descriptive measure of this.

What does a standard deviation of 7 mean?

A large standard deviation indicates that the data points can spread far from the mean and a small standard deviation indicates that they are clustered closely around the mean. For example, each of the three populations {0, 0, 14, 14}, {0, 6, 8, 14} and {6, 6, 8, 8} has a mean of 7.

What does a standard deviation of 3 mean?

99.7% A standard deviation of 3” means that most men (about 68%, assuming a normal distribution) have a height 3" taller to 3” shorter than the average (67"–73") — one standard deviation. … Three standard deviations include all the numbers for 99.7% of the sample population being studied.

What is 1 standard deviation from the mean?

If the data behaves in a normal curve, then 68% of the data points will fall within one standard deviation of the average, or mean, data point. Larger variances cause more data points to fall outside the standard deviation. Smaller variances result in more data that is close to average.