STAT 200 QUIZ 1 WEEKS 1, 2, AND 3 | Complete Solution

STAT 200 QUIZ 1 WEEKS 1, 2, AND 3  
 (10 QUESTIONS @ 0.8 = 8 PTS) SHOW YOUR CALCULATIONS.  PARTIAL CREDIT IS POSSIBLE IF WORK SHOWN. 

#1.  (T/F)  Qualitative data are “measured’ on the NOMINAL and ORDINAL SCALES and can provide valid statistics.

#2.  A PIE CHART is a circle and a circle has 360 degrees (360o).  If a family’s annual expenses were $15,000 for groceries, $10,000 for fuel, and $25,000 for rent, what PERCENT of the circle area (showing the sum of all 3 expenses) is each expense?  THEN, for the pie chart, what are the three WEDGE ANGLES (in degrees) ? (Google  “protractor”)

#3.  ELEVEN DATA x-Values:  7, 1, 5, 11, 12, 10, 6, 29, 2, 5, 15  What are the MEAN and STANDARD DEVIATION (HAND CALCULATE – NOT SOFTWARE (BUT YOU CAN USE SOFTWARE TO CHECK YOUR ANSWERS)?

#4.  Same data set as in (#3)  What are the Q1, Q2, Q3 and IQR ?

#5.  DRAW A BOX PLOT and show where the values in #3 and #4 are AND which tell are NOT shown in a box plot (if any) 

#6.   Using the TWO methods for determining OUTLIERS (mean + 2 SD’s and the Q3 + 1.5 * IQR AND Q1 – 1.5 * IQR) are there ANY outliers at either end?  (SHOW YOUR WORK USING BOTH OUTLIER METHODS)

#7.  What are the RANK AND ACTUAL DATA VALUE OF THE 60th PERCENTILE  (USE FORMULA R = P/100 * (N+1) in the data list in #3 

#8.  READ CAREFULLY AND DO ALL PARTS.  DELETE data point “29” from the list in problem #3, and recalculate the mean, standard deviation, Q1, Q2, Q3 and IQR.  THEN, IDENTIFY HOW DELETING THAT “OUTLIER” AFFECTED WHICH STATISTICS AND HOW THIS COULD AFFECT ANY INTERPRETATION OF THOSE STATISTICS.  DO YOU SEE WHY THE “MEDIAN” PRICE IS USED FOR HOUSES AND “MEDIAN” INCOME IS USED FOR SALARIES (RATHER THAN THE MEAN) ? BUT, SHOULD OUTLIERS ROUTINELY BE DELETED, FOR EXAMPLE THE “ONE DEATH IN A THOUSAND” FOR A PARTICULAR MEDICATION ?  SO, WHAT EVIDENCE COULD JUSTIFY DELETING SUCH OUTLIERS?    

#9.  For the following data COMPUTE the  (ƩX)2  and the  ƩY2   (be careful)

X    Y
3    2
5    4
8    6

#10.  In this  STEM & LEAF diagram  how many numbers are between 100 and 130 INCLUDING 100 and 130 if present.

  (This means that the lowest number is 19 and the highest is 132)    
 NO CREDIT FOR SOFTWARE ANSWERS BUT PARTIAL CREDIT POSSIBLE FOR SHOWING SETUPS AND SOME CALCULATIONS)