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Twenty executives reported the following number of telephone calls made during a randomly selected week.

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

 

 1.     Statistics exam grades:  Suppose that 20 statistics students’ scores on an exam are as follows:

 97        92        88       75        83        67        89        55        72        78                   

 81        91        57       63        67        74        87        84        98        46                        

 ·         Construct a frequency distribution. Use FIVE classes

 

·         Construct a relative frequency histogram (Use class boundaries to graph).

Classes

Lower     Upper

Class Boundaries

Lower     Upper

Frequency

Midpoint

Relative Frequency (%)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                                                                                                                                                                                                                                                                        

 

 

 

 

 

 

  

2.    Twenty executives reported the following number of telephone calls made during a randomly selected week.                                                                                                                              

22        12        19        54        12        16        12        14        49        10

21        37        28        36        22        34        33        45        31        41       

 

·    Construct a stem and leaf plot for the data

3.   The numbers of calls received by the Internal Revenue Service I.R.S. office in 6 business day in July are shown below.                                                                                                                        

8          6          2          4          12        10

Find the variance and standard deviation.USE 

Column I

 

Column II

 

Column III

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

4.   The table below shows the relative frequency distribution of the number of hours worked last week by a random sample of 400 employees of a certain engineering company.                     

Hours worked

Relative frequency

20-29

0.15

30-39

0.12

40-49

0.20

50-59

?

60-69

0.35

70-79

0.008

 ·     Find the missing relative frequency (?)

 5.  A football fan records how many goals his team scored in their last 15 football matches. Here are the results:                                                                                                       

2, 3, 0, 1, 3, 4, 2, 5, 0, 3, 1, 2, 2, 0, 2. 

FIND the mode, the median and mean average of goals scored?

 

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