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(iN10âˆ’c);i=1,2,3…,9Di=l+hf(iN10âˆ’c);i=1,2,3…,9

The place âˆ’

• llÂ = decrease boundry of deciles group.
• hhÂ = width of deciles group.
• ffÂ = frequency of deciles group.
• NNÂ = whole variety of observations.
• ccÂ = 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

#### Calculation of First Decile

65Ã—110=6.5D1=50+6.5âˆ’08Ã—10,=58.1265Ã—110=6.5D1=50+6.5âˆ’08Ã—10,=58.12

#### Calculation of Second Decile

65Ã—210=13D2=60+13âˆ’810Ã—10,=6565Ã—210=13D2=60+13âˆ’810Ã—10,=65

#### Calculation of Third Decile

65Ã—310=19.5D3=70+19.5âˆ’1816Ã—10,=70.9465Ã—310=19.5D3=70+19.5âˆ’1816Ã—10,=70.94

#### Calculation of Fourth Decile

65Ã—410=26D4=70+26âˆ’1816Ã—10,=7565Ã—410=26D4=70+26âˆ’1816Ã—10,=75

#### Calculation of Fifth Decile

65Ã—510=32.5D5=70+32.5âˆ’1816Ã—10,=79.0665Ã—510=32.5D5=70+32.5âˆ’1816Ã—10,=79.06

#### Calculation of Sixth Decile

65Ã—610=39D6=70+39âˆ’3414Ã—10,=83.5765Ã—610=39D6=70+39âˆ’3414Ã—10,=83.57

#### Calculation of Seventh Decile

65Ã—710=45.5D7=80+45.5âˆ’3414Ã—10,=88.2165Ã—710=45.5D7=80+45.5âˆ’3414Ã—10,=88.21

#### Calculation of Eighth Decile

65Ã—810=52D8=90+52âˆ’4810Ã—10,=9465Ã—810=52D8=90+52âˆ’4810Ã—10,=94

#### Calculation of Nineth Decile

65Ã—910=58.5D9=100+58.5âˆ’585Ã—10,=101