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Suppose that we have the data {x1, x2, ..., xn} such that x1=x2=...=xn=3. What is the mean of the data? What is the standard deviation?In the formula for the mean of the grouped data, what do you get when you have all group frequencies equal to 1?Two data sets of the same size have standard deviations s1 and s2. If s1<s2, then how do these data sets compare?

Question
  1. Suppose that we have the data {x1, x2, ..., xn} such that x1=x2=...=xn=3. What is the mean of the data? What is the standard deviation?
  2. In the formula for the mean of the grouped data, what do you get when you have all group frequencies equal to 1?
  3. Two data sets of the same size have standard deviations s1 and s2. If s1<s2, then how do these data sets compare?
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Step 1

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Step 2
  1. Mean of the data:

Mean is the center value of the data set. The mean is calculated by the sum of all values divided by total number of observations in the data set.

Here, x1 = x2 = … = xn = 3. That is, all the data values in the data set are exactly same.

The mean of the data is 3 as calculated as follows.

xx x [since the values ofallx is exactly same
n
=3
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xx x [since the values ofallx is exactly same n =3

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Step 3

Standard deviation of the data:

The standard deviation is the measure of spread of data in data set. In other words, the difference between the data in data sets and its mean value.

Since t...

(Сх — х) + (х, — х) +...+(х, — х)
п
(3-3) +(3-3)+...(3-3)
п
n
= 0
help_outline

Image Transcriptionclose

(Сх — х) + (х, — х) +...+(х, — х) п (3-3) +(3-3)+...(3-3) п n = 0

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