if the median of the 5, 9, 11, 3, 4, x,8 is 6 find the value of x
Answers
Answer:
6
Step-by-step explanation:
Hi,
Median is defined as the mid value of the data set. It is a value that falls in
the middle-most position of the whole data. Median of an ungrouped data
is determined by arranging the given numbers in ascending order and then
selecting exactly middle value. In other words, the median is the value that
divides the observations (in ascending order) into two equal divisions. The
median is a kind of measures of central tendency.
The formulas for calculating the median of an ungrouped data which has
total "n" number of observations arranged in increasing order, are:
Case I: When n is odd
Median = (n+1)/2 th observation
Case II: When n is Even
Median = ((n/2)th observation + (n/2 + 1)th observation)/2
In the given ungrouped data, the number of observations are odd, hence
median will be middle most observation and since given that median = 6,
hence the middle most observation of the dat of we arrange in ascending
order will be = 6.
Hence 3, 4, 5, x, 8, 9, 11
Middle most should be x and x = 6.
Hope, it helped !
Answer:
X value is 6
Step-by-step explanation:
Given data is
5, 9, 11, 3, 4, x,8
arranging the numbers in order we get :
3,4,5,x,8,9,11
so n=7 odd value
so median is n+1/2 term
=7+1/2
=8/2
=4th term
so x=6