Step-by-step explanation: (i) Let us arrange the numbers in ascending order as below. 7,14,15,21,22,23,24 Number of items n=7 Median =( 2 n+1 ) th observation (∵n is odd) =( 2 7+1 ) th observation =4 th observation =21 (ii) Let us arrange the numbers in ascending order 7,9,10,12,13,15,17,21,32,42. Number of items n=10 Median is the mean of ( 2 n ) th and ( 2 n +1) th observations. (∵n is even) ( 2 n ) th observation =( 2 10 ) th observation =5 th observation =13 ( 2 n +1) th observation =6 th observation =15. ∴ Median = 2 13+15 =14 Reply
Step-by-step explanation:
(i) Let us arrange the numbers in ascending order as below.
7,14,15,21,22,23,24
Number of items n=7
Median =(
2
n+1
)
th
observation (∵n is odd)
=(
2
7+1
)
th
observation
=4
th
observation =21
(ii) Let us arrange the numbers in ascending order
7,9,10,12,13,15,17,21,32,42.
Number of items n=10
Median is the mean of (
2
n
)
th
and (
2
n
+1)
th
observations. (∵n is even)
(
2
n
)
th
observation =(
2
10
)
th
observation =5
th
observation =13
(
2
n
+1)
th
observation =6
th
observation =15.
∴ Median =
2
13+15
=14