find the median of the scores 5 8 14 16 19 20
Answers
Question :- Find the median of the scores 5, 8, 14, 16, 19 and 20 ?
Concept used :-
The median of a set of data is the middlemost number in the set. The median is also the number that is halfway into the set. To find the median, the data should first be arranged in order from least to greatest.
If there is an odd number of terms, the median is the center term. = (n+1)/2 th term .
If there is an even number of terms, add the two middle terms and divide by 2 = {(n/2 term)+(n/2+1) term}/2 .
Solution :-
→ Arranging in ascending order we get = 5, 8, 14, 16, 19 , 20 = 6 terms = Even Number of terms.
n = 6
so,
→ Median = {(n/2 term)+(n/2+1) term}/2
→ Median = {(6/2 term) + (6/2 + 1) term}/2
→ Median = {3rd term + (3 + 1) term}/2
→ Median = {3rd term + 4th term}/2
→ Median = (14 + 16)/2
→ Median = (30/2)
→ Median = 15 (Ans.)
Hence, Median of the scores will be 15.
Learn more :-
calculate the median and mode from the following income between (rs)100-200 100-300 100-400 100-500 100-600 no of
Step-by-step explanation:
12,17,3,14,5,8,7,15
No' of observations (n) =8
first of all we arrange the observations in an ascending order
3,5,7,8,12,14,15,17
Here observe that No' of observations (n) is even so
Median is average of
2
n
th term and (
2
n
+1) th term
Median =
2
2
n
th term+(
2
n
+1)th term
=
2
2
8
th term+(
2
8
+1)th term
=
2
4th term+5th term
=
2
8+12
=
2
20
Median = 10