What is the Missing Mean in a Sample of Size 5?

In summary, the conversation is about an upcoming exam and a question related to calculating standard deviation and mean for a sample of size 5. The answer to the question is 6.782. However, it is not possible to calculate the mean with the given information.
  • #1
sci0x
83
5
Exam is in the next 30 mins so please reply ASAP.
I just need help with this question.

For a sample of size 5, x1 - mean = -5, x2 - mean = 9, x3 - mean = -7, x4 - mean = -2 and x5 - mean = 5
What is standard deviation... answer is 6.782 by squaring all the answers, dividing by n-1 and finding square root.

However, what is the mean of the sample. Is this possible to get missing both x1, x2, x3, x4, x5 and also missing the mean?
 
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  • #2
However, what is the mean of the sample. Is this possible to get missing both x1, x2, x3, x4, x5 and also missing the mean?

You cannot infer the mean from the information given. NO!
 
  • #3


The mean of a sample can be calculated by summing all the values in the sample and dividing by the sample size. In this case, the missing values can be replaced with placeholders (e.g. x1 = a, x2 = b, etc.) and the mean can still be found by using the formula: mean = (a + b + c + d + e) / 5. Alternatively, if the sample is assumed to be a random sample from a larger population, the mean of the population can be estimated by using the mean of the sample.
 

1. What is the definition of mean?

The mean is a measure of central tendency that represents the average value of a set of data. It is calculated by adding all the values in a data set and dividing by the total number of values.

2. How is the mean affected by extreme values?

The presence of extreme values, also known as outliers, can significantly impact the value of the mean. Outliers tend to pull the mean in their direction, making it an unreliable measure of central tendency for skewed data sets.

3. What does standard deviation measure?

Standard deviation is a measure of variability that indicates the spread of a data set around the mean. A smaller standard deviation indicates that the data points are close to the mean, while a larger standard deviation indicates that the data points are more spread out.

4. How is standard deviation calculated?

Standard deviation is calculated by finding the difference between each data point and the mean, squaring the differences, adding them together, dividing by the total number of data points, and then taking the square root of that value.

5. How can mean and standard deviation be used to compare data sets?

Mean and standard deviation can be used to compare the central tendency and variability of two or more data sets. A higher mean and larger standard deviation indicate a data set with larger values and more spread out data points, while a lower mean and smaller standard deviation indicate a data set with smaller values and data points that are closer to the mean.

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