Number 3 needs number 2 to solve it Insert d) Using the histogram, describe the

Question

Number 3 needs number 2 to solve it Insert d) Using the histogram, describe the distribution of the data. What is the shape of the distribution? Are there any outliers? If so, identify them. om New Databar Gr 2. The number of emails received by six different professors [Prof. A -Prof. F) daily are shown on the picture below. Answer the following questions: Frequency 125 Frequency 125 Frequency 12 80' emails prof A prof B prof C Frequency125 100 Frequeney Frequency 8 10 12 t of emails #ot emails prof E prof F prof D a) Find the mean number of emails received by prof. D and prof. F. b) Find the median number of emails received by prof. B. c) Identify who has the greatest mean and who has the greatest standard deviation of Ready the number of emails received A

Explanation / Answer

a)

mean number of emails received by prof D

=(1*75+3*100+5*75+7*100+9*75)/(75+100+75+100+75)=5

mean number of emails received by prof F

=(1*25+3*50+5*25+7*50+9*25+11*50+13*25)/(25+50+25+50+25+50+25)=7

b)

total frequency for prof. B =75+100+125+100+100+100=600

therfore median will locate where cumulative frequency is (600+1)/2 =300.5 is,

which happens at 6.

threfore median is 6.

c)

here prof F has highest mean (due to frrequencies in the higher mails) as well std deviation of number of mails (received due to high spread)

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