Find the range, sample standard deviation and inter-quartile range (IQR) of the following data set.46485455616767717580range =  (Please enter an exact answer.) standard deviation (ss) =  (Round to one decimal place.)IQR =  (Please enter an exact answer.)A new number, 250, is added to the data set above. Find the range, sample standard deviation and IQR of the new data set.range =  (Please enter an exact answer.)standard deviation =  (Round to one decimal place.)IQR =  (Please enter an exact answer.)Which measure of spread is less affected by the addition of the extreme observation?IQRstandard deviationRange

Question
Asked Nov 14, 2019
10 views

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


range =  (Please enter an exact answer.)

 

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

IQR =  (Please enter an exact answer.)

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

range =  (Please enter an exact answer.)

standard deviation =  (Round to one decimal place.)

IQR =  (Please enter an exact answer.)

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

  • IQR
  • standard deviation
  • Range

 

 
 
check_circle

Expert Answer

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:

help_outline

Image Transcriptionclose

Range Maximum-Minimum Σ-3) Sample standard | deviation п-1 IQR

fullscreen
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_outline

Image Transcriptionclose

TEXAS 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).

...

help_outline

Image Transcriptionclose

Range Maximum - Minimum -80-46 - 34 IQR Q- -71-54 -17

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A die is rolled.   Find each probability to 3 decimal places. A.  The number on top is less than 3. ...

A: Hello! As you have posted 4 sub parts, we are answering the first 3 sub-parts.  In case you require ...

question_answer

Q: Please show me how to do this equation

A: From the given information, number of bulbs in a bin is 71, number of defective bulbs is 9 and numbe...

question_answer

Q: Test the claim that the proportion of children from the low income group that drew the nickel too la...

A: a)The null and alternative hypotheses are stated below:From the given information, the level of sign...

question_answer

Q: Part c of 6.2 only.

A: It is given that  are iid random variable with mean  and variance.

question_answer

Q: Part D

A: Hello there! according to our policies cannot answer more than three subparts in one quesiton. Pleas...

question_answer

Q: Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as ...

A: Hey, since multiple questions are posted, we will answer first three subparts of first question acco...

question_answer

Q: On a particular quiz, 85% of my students got the first question right, of the students who did get t...

A: According to the provided data,P(first right)=0.85P(second right when first is right) = 0.95P(second...

question_answer

Q: The diameters (in inches) of 17 randomly selected bolts produced by a machine are listed. Use a 90 %...

A: Confidence interval:The (1-α) % confidence interval for population variance is given by:

question_answer

Q: When a recent survey asked subjects whether it should or should not be the​ government's responsibil...

A: The total number of subjects that is sample size (n) = 1496The number of subjects who said yes that ...