Page 189 - Data Science class 10
P. 189
(n + 1)
D = 7 × 10th data
7
(22 + 1)
= 7 ×
10
= 16.1th data
i.e., data between positions 16 and 17
Which is 54 + 0.1 × (55 – 54)
= 54.1
(n + 1)
D = 8 × 10th data
8
(22 + 1)
= 8 ×
10
= 18.4th data
i.e., data between positions 18 and 19
Which is 58 + 0.4 × (64 - 58)
= 60.4
(n + 1)
D9 = 9 × 10th data
(22 + 1)
= 9 ×
10
= 20.7th data
i.e. data between positions 20 and 21
Which is 65 + 0.7 × (66 – 65)
= 65.7
Hence, we can represent the deciles for the dataset with its positions and corresponding values in a table as given
below:
Decile Data Position Value
1 2.3 26.6
2 4.6 31.8
3 6.9 35.9
4 9.2 39.6
5 11.5 43.5
6 13.8 46.6
7 16.1 54.1
8 18.4 60.4
9 20.7 65.7
An example of the use of deciles is in school rankings. Students in the top 10 percentile or highest decile will be
rewarded, whereas students in the last 10 percentile or lowest decile will be given extra classes to increase their
scores.
Data Merging 187

