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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: help_outlineImage TranscriptioncloseTEXAS INSTRUMENTS TI-83 Plus TEXAS INSTRUMENTS TI-83 Plus 1-Var Stats X-62.4 Zx 624 Ex2-40126 Sx 11.49105933 ax10.90137606 n 10 1-Var Stats tn 10 min 46 01=54 Med 64 Q3 71 maxx 80 TABKE wwoon ZOON GRAPH NDOW 200 GRAPH TRACE TRACE EA QUIT INS QUIT INE MODE DEL MODE 2nd DEL LINK UST A-LOCK LUST A-LOCK LINK XJ,0n STAT ALPHA X3,6n STAT ALPHA DIRAW DISTA TEST ANGLE ANCAE DISTA TEST DRAW MATH PRGM APPS VARS MATH CLEAR APPS PRGM VARS CLEAR SN COs TAN WATRX COs TAN WATRK SIN SIN COS TAN SIN COS TAN 10 LOG LOG L4 LS LN LN L2 RCL MEM RCL STO STO 2 ANS OFF ANS OFF (- ON ENTER ON ENTER 9 fullscreen
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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