Find the median of the data : 24,12,14,19,7
(a)7
(b)14
(c)24
(d)12
Answers
Answer:
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
Answer:
b
Step-by-step explanation:
If we reorganized the data then we get,
7,12,14,19,24.
In this case, n = 5, which is odd.
So the median = (n+1)/2 th position
or, median = (5+1)/2 = 6/2 = 3rd position.
So, the median will be the 3rd position of the data. Here, in the 3rd position the number is 14.
So, the median is 14.