Answer:
D2 = 24
Step-by-step explanation:
given is a data set as
24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51
We have to find the second decile for the above
Arranging in ascending order we get
14, 24, 24, 25,26,28, 34, 40, 45, 51, 58, 64
2nd decile is equal to 20th percentile
20th percentile formula entry appearing which sorts 20% below and 80% above.
i.e. (20%*(14+1)) = 3rd entry
Thus 20th percentile is24.
D2 = 24
Second decile of the given set of data D2 = 24
given set is: 24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51
The second decile is the first class for which the cumulative relative frequency exceeds 20%.
let us arrange the data into ascending order,
14, 24, 24, 25,26,28, 34, 40, 45, 51, 58, 64
2nd decile corresponds to the 20th percentile.
20th percentile formula or 2nd decile formula is,
2nd decile, [tex]D2=2*{\frac{N+1}{10}}[/tex] th data.
where n is the total number of entries.
D2= 2*(12+1)/10 th data
D2= 2.6≅3rd data
D2=24
Therefore, the second decile D2 is24.
to get more about decile refer to the link,
https://brainly.com/question/24707625
