# Can two samples have the same range but different standard deviations?

## Can two samples have the same range but different standard deviations?

Can two different data sets have the same mean and range, but different standard deviations? - Quora. Yes. Here are two datasets with same mean and range, but different sds. Calculate sd for yourself.

## Does same range mean same standard deviation?

The mean of the second data set = c + mean of the first data set. But range and standard deviation of both data sets will be the same.

## Can two data sets have the same mean and standard deviations?

No. Many data sets can yield the same mean, SD and n. In the graph above, the three data sets on the left of each graph all share the same mean, SD and n.

## How do you compare standard deviation and range?

The standard deviation is approximately equal to the range of the data divided by 4. That's it, simple. Find the largest value, the maximum and subtract the smallest value, the minimum, to find the range. Then divide the range by four.

## Can range and standard deviation be equal?

So the best case (two data points 0 and 1) yields a standard deviation of 0.7071 which is more than 50% of the range. This gives you a standard deviation of 0 and a range of 0. So it's possible to get a standard deviation equal to the range, but only for this one special case.

## How are the IQR and the range of a data set similar in terms of comparing data sets?

Range and interquartile range (IQR) both measure the "spread" in a data set. Looking at spread lets us see how much data varies. Range is a quick way to get an idea of spread. It takes longer to find the IQR, but it sometimes gives us more useful information about spread.

## What does it mean if two samples have the same standard deviation?

Two data sets can have are very different mean values but have the same standard deviations. Therefore, the amount of variance (aka βnoiseβ) in the two data sets is the same, even though the means differ.

## Is it possible that two datasets can have the same mean but different variances?

Yes, two sets of data have the same mean, but not the same variance. Two data sets may have the same mean, but different variances.

## How do you find the range of something?

The range is the difference between the biggest and the smallest number.To find the range, subtract the lowest number from the biggest number.Eg 100 - 3 = 97.The range is 97.

## How do you find the range of data?

Explanation: The range is the simplest measurement of the difference between values in a data set. To find the range, simply subtract the lowest value from the greatest value, ignoring the others.

## How do you compare two interquartile ranges?

The interquartile range or IQR is equal to π three minus π one. We subtract the lower quartile value from the upper quartile value. 29 minus 25 is equal to four. The interquartile range of data set one is equal to four.

## What is the difference between range and interquartile range?

While the range gives you the spread of the whole data set, the interquartile range gives you the spread of the middle half of a data set.

## Can two data sets have the same mean?

Yes, two sets of data have the same mean, but not the same variance. Two data sets may have the same mean, but different variances.

## Is it possible for two different distributions to have the same mean but differ in their variability?

For example, distributions with the same mean can have different amounts of variability or dispersion. Despite the equal means (the mean score for both quizzes is 7), the scores on Quiz 1 are more packed or clustered around the mean, whilst the scores on Quiz 2 are more spread out.

## Do you think it is possible for two sets of data to have the same mean but different variance for two sets of data to have different means but the same variance Why?

Yes, two sets of data have the same mean, but not the same variance. Two data sets may have the same mean, but different variances.

## How do you compare ranges in math?

The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 β 3 = 6.

## How do you find the range of sample data?

The range is the simplest measurement of the difference between values in a data set. To find the range, simply subtract the lowest value from the greatest value, ignoring the others.

## What does range mean in maths example?

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

## What is range explain?

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.

## How do you write a range?

Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.

## How do you compare IQR?

The interquartile range or IQR is equal to π three minus π one. We subtract the lower quartile value from the upper quartile value. 29 minus 25 is equal to four. The interquartile range of data set one is equal to four.

## What is a range in math?

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

## What does it mean if two distributions have the same mean?

Theoretically two distributions have the same mean and variance if the first moment and the second moment are the same. Hence, they will have the same standard deviation too.

## When each data class has the same frequency?

When each data class has the same frequency, the distribution is symmetric.

## What does it mean when two data sets have the same mean?

Hi Moriah, Though the two data sets have the same mean, the second data set has a higher standard deviation. This means that scores in that data set will be more spread out around the mean value of 50 compared to the first data set. If you think of a normal distribution, it will help make the point clear.

## When comparing sets of data Why is it important to consider both the mean and the mad?

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

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