Basic Math coursework(histogram)

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Statistic of PPISMP Tesl students

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Basic Math coursework(histogram)

  1. 1. BASICMATHEMATIC HISTOGRAM
  2. 2. Introduction We as a group conduct a survey regarding to the height of student PPISMP TESL JUNE 2011. Fromthe survey, we analyzed and calculate based on mode, median and mean of the students height. DEFINITION What is a Histogram?• A Histogram is a vertical bar chart that depicts the distribution of a set of data.
  3. 3. Information Mode The average value, calculated by adding all the observations and dividing by the number of observations Median Middle value of a list If the list has an even number of entries, the median is equal to the sum of the two middle (after sorting) numbers divided by two Mean the mode is the most common (frequent) value.
  4. 4. Survey Form A survey on the height of PPISMP TESL A survey on the height of PPISMP TESL Semester 3 June 2011 intake students Semester 3 June 2011 intake studentsAgeAge :________________________ :________________________ 19ClassClass :________________________ :________________________ TESL SK2GenderGender :________________________ :________________________ maleHeight(cm) :________________________Height(cm) :________________________ 180 cm Thank you for your cooperation Thank you for your cooperationWe conducted a survey of height with the total of 77 people in PPISMP TESL Semester 3 June 2011 intake
  5. 5. Table HEIGHT OF PPISMP TESL 2011 JUN INTAKEHEIGHT FREQUENCY CUMULATIVE LOWER UPPER MIDPOINT FREQUENCY BOUNDARY BOUNDARY140 – 144 1 1 139.5 144.5 142145 – 149 5 6 144.5 149.5 147150 – 154 10 16 149.5 154.5 152155 – 159 29 45 154.5 159.5 157160 – 164 12 57 159.5 164.5 162165 – 169 6 63 164.5 169.5 167170 – 174 5 68 169.5 174.5 172175 – 179 6 74 174.5 179.5 177180 – 184 2 76 179.5 184.5 182185 – 189 1 77 184.5 189.5 187 Total 77
  6. 6. Graph (Histogram)
  7. 7. Ogive
  8. 8. Analysis• Mode = 155 – 159 HEIGHT FREQUENCY 150 – 154 10 155 – 159 29• Median =Using formula L + h/f (n/2 - c)• L= is the lower class boundary of median class h =is the size of median class i.e. difference between upper and lower class boundaries of median class f= is the frequency of median class c =is previous cumulative frequency of the median class n/2= is total no. of observations divided by 2Calculation:• 154.5+ (38-16)= 157.53
  9. 9. • Mean = (1x142)+(5x147)+(10x152)+(29x157)+(12x162)+ (6x167)+(5x172)+(6x177)+(2x182)+(1x187)____ 77 =142+735+1520+4553+1944+1002+860+1062+ 364+187 77 =12369 77 =160.63
  10. 10. THE END

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