Page 208 - Data Science class 10
P. 208
Ans. Sorting the data in ascending order
Wages
100
200
300
500
600
The number elements are 5. So the median is:
51 + th
Median = th element
2
= 3rd element
= 300
5. Following are the marks of some students in a periodic test:
Marks 6 8 8 6 7 5 4 9 5 7 4 9 8 3 2 6 9 3 5 6 8 6 4 7 3 7 6
Find the mode from the above dataset.
Ans. Arrange the marks in ascending order
Marks 2 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9
Notice that 6 occurred 6 times. So mode is 6.
6. Find the Standard Deviation of the following series:
10, 8, 10, 8, 8, 4
Ans. The formula for Standard Deviation is as follows:
∑ n x – x ) 2
Standar Deviation = i= 1 ( 1
n –1
Calculating the mean
(10 + 8 + 10 + 8 + 8 + 4) 48
Mean = = = 8
6 6
Hence, x = 8
̅
n= 6
Then,
(10 –8 ) (8 –8+ 2 ) (10 –8+ 2 ) (8 –8+ 2 ) (8 –8+ 2 ) ( 4 –8+ 2 ) 2
Standard Deviation =
6 –1
( ) ( ) ( ) ( ) ( ) ( ) 4+ 2 2 0 2 + 2 + 2 0 2 + 0 2 + 2
=
6 –1
= 24
5
= 4.8
= 2.19
Standard Deviation is 2.19.
206 Touchpad Data Science-X

