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Frequency Distribution Table for Length Data

   

Added on  2020-04-07

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MATH 1P98 – PRACTICALSTATISTICSAssignment: 1STUDENT ID/ NAME[Pick the date]
Frequency Distribution Table for Length Data_1
Question 1 (a)Frequency distribution table for length data (b)Percentage of observation greater than 60.4 units ¿?Total number of observation = 54Observation greater than 60.4 units = 28Percentage of observation greater than 60.4 units = 28/54 = 51.85% 1
Frequency Distribution Table for Length Data_2
(c)Frequency histogram based on above table. 43.55260.56977.5024681012141618Histogram : length Lentgh (unit)Frequency(d)Based on the above histogram, it is apparent that the given variable length is notdistributed normally as there is presence of negative skew owing to a tail on the left. Fora normal distribution, the skew is expected to be zero. Yes, there are some outlierspresent especially at the lower end due to left skew. These can be approximated to twovalues which are at the lowest end of the data.(e)As the number of intervals tends to increase, the histogram tends to become flatter as thedistribution becomes too stretched and also outliers tend to increase. Further, as thenumber of intervals tends to decrease, the histogram would seem too tightly squeezed andhence would not be reflective of the given data. Hence, it is essential that the classnumber should be accurate and must not be too less or too more as a representativehistogram would not be obtained in other cases.Question 2 (a)Fire-fighter Fatalities data 20182330202
Frequency Distribution Table for Length Data_3
1224925158111534Computation of mean xi=(20+18+23+30+20+12+24+9+25+15+8+11+15+34)xi=264Number of observation n=14Mean ¿xin=(26414)=18.85Computation of median The data can be r-arranged from lower to upper order as891112151518202023242530343
Frequency Distribution Table for Length Data_4

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