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Chapter 4: Q.20 (page 283)

Find the standard deviation.

Short Answer

Expert verified

Standard deviation is1.8.

Step by step solution

01

Given Information

Finding standard deviation from using the given table :

02

Explanation

The square root of the average of squares of deviations of data taken from the mean is the standard deviation. That is the 2ndcolumn

The values are multiplied by their respective probability. The mean of this column's sum is 5.4Each observation is deducted from the mean, which is 5.4, in the next column. The probabilities are squared and multiplied by his value. This provides you with localid="1649402669500" (x-渭)2*P(x)

These values are summed up in next step. Sum will

S=1.156+0.588+0.144+1.352=3.240

Standard deviation can be calculated by taking a square. As a result, standard deviation is:

localid="1649402678059" =3.240=1.8

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