Statistics - Deciles Statistics

Statistics – Deciles Statistics

A system of dividing the given random distribution of the information or values in a collection into ten teams of comparable frequency is named deciles.

Components

Di=l+hf(iN10c);i=1,2,3…,9Di=l+hf(iN10−c);i=1,2,3…,9

The place −

  • ll = decrease boundry of deciles group.
  • hh = width of deciles group.
  • ff = frequency of deciles group.
  • NN = whole variety of observations.
  • cc = comulative frequency previous deciles group.

Instance

Downside Assertion:

Calculate the deciles of the distribution for the next desk:

fi Fi
[50-60] 8 8
[60-60] 10 18
[70-60] 16 34
[80-60] 14 48
[90-60] 10 58
[100-60] 5 63
[110-60] 2 65
65

Answer:

Calculation of First Decile

65×110=6.5D1=50+6.508×10,=58.1265×110=6.5D1=50+6.5−08×10,=58.12

Calculation of Second Decile

65×210=13D2=60+13810×10,=6565×210=13D2=60+13−810×10,=65

Calculation of Third Decile

65×310=19.5D3=70+19.51816×10,=70.9465×310=19.5D3=70+19.5−1816×10,=70.94

Calculation of Fourth Decile

65×410=26D4=70+261816×10,=7565×410=26D4=70+26−1816×10,=75

Calculation of Fifth Decile

65×510=32.5D5=70+32.51816×10,=79.0665×510=32.5D5=70+32.5−1816×10,=79.06

Calculation of Sixth Decile

65×610=39D6=70+393414×10,=83.5765×610=39D6=70+39−3414×10,=83.57

Calculation of Seventh Decile

65×710=45.5D7=80+45.53414×10,=88.2165×710=45.5D7=80+45.5−3414×10,=88.21

Calculation of Eighth Decile

65×810=52D8=90+524810×10,=9465×810=52D8=90+52−4810×10,=94

Calculation of Nineth Decile

65×910=58.5D9=100+58.5585×10,=101