Question
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Find the range, sample standard deviation and inter-quartile range (IQR) of the following data set.

 46 48 54 55 61 67 67 71 75 80

standard deviation (ss) =  (Round to one decimal place.)

A new number, 250, is added to the data set above. Find the range, sample standard deviation and IQR of the new data set.

standard deviation =  (Round to one decimal place.)

Which measure of spread is less affected by the addition of the extreme observation?

• IQR
• standard deviation
• Range

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Step 1

Range, sample standard deviation, and inter-quartile range:

The formula to find range, sample standard deviation, and inter-quartile range are as follows:

Step 2

Preliminary calculation:

Step-by-step procedure to obtain the values of maximum, minimum, sample standard deviation, Q1 and Q3 using Ti-83 calculator:

• Click on STAT.
• In Edit, select 1: Edit...
• Enter the given data in L1.
• Click on
• In CALC, select 1: 1–Var Stats.
• Click on 2nd > 1.
• Click on

The output obtained is as follows:

Step 3

Computation of Range, sample  standard deviation, and IQR:

From the output, the sample standard deviation is obtained as Sx=11.4911 (rounded to four decimal places).

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