The following categories for type of physical activity involved when an industrial accident occurred appeared in the article ?"Finding Occupational Accident Patterns in the Extractive Industry Using a Systematic Data Mining Approach" (Reliability Engr. and System Safety, 2012: 108-122): A. Working with handheld tools B. Movement C. Carrying by hand D. Handling of objects E. Operating a machine F. Other Construct a frequency distribution, including relative frequencies, and histogram for the accompanying data from 100 accidents (the percentages agree with those in the cited article):
Answer : Step 1 : Given the accompanying data from 100 accidents (the percentages agree with those in the cited article): We consider the data. A B D A A F C A C B E B A C F D B C D A A C B E B C E A B A A A B C C D F D B B A F C B A C B E E D A B C E A A F C B D D D B D C A F A A B D E A E D B C A F A C D D A A B A F D C A C B F D A E A C D Now we have to construct a frequency distribution, including relative frequencies, and histogram for the accompanying data from 100 accidents We know that. A : Working with handheld tools B : Movement C : Carrying by hand D: Handling of objects E : Operating a machine F : Other Frequency distribution : Frequency distribution is a representation, either in a graphical or tabular format, that displays the number of observations within a given interval. A frequency distribution table is an arrangement of the values that one or more variables take in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval, and in this way, the table summarizes the distribution of values in the sample. Relative Frequency : The ratio of the number of observations in a statistical category to the total number of observations. The total the number of observations is 100. So, 28/100 = 0.28 Then the frequency table is given below. Categor Frequency Relative Frequency y A 28 28/100 = 0.28 B 19 19/100 = 0.19 C 18 18/100 = 0.18 D 17 17/100 = 0.17 E 9 9/100 = 0.09 F 9 9/100 = 0.09 Total 100 1 From the above table. Where A : Working with handheld tools B : Movement C : Carrying by hand D: Handling of objects E : Operating a machine and F : Other Then the histogram is given below.