What is the median value of the following set of numbers? __________ $1, 3, 5, 9, 6, 4, 8.$
Finding the Median Value
To find the median value of a set of numbers, we first need to arrange the numbers in ascending order.
Sort the Numbers
The given set of numbers is: $1, 3, 5, 9, 6, 4, 8$.
Arranging these numbers in ascending order, we get:
$1, 3, 4, 5, 6, 8, 9$
Identify the Median
There are 7 numbers in the set. Since the count of numbers (N) is odd, the median is the middle value.
The position of the median is calculated using the formula:
Median Position = $\frac{N+1}{2}$
In this case, $N=7$, so:
Median Position = $\frac{7+1}{2} = \frac{8}{2} = 4$
The median is the 4th number in the sorted list.
- 1st number: 1
- 2nd number: 3
- 3rd number: 4
- 4th number: 5
- 5th number: 6
- 6th number: 8
- 7th number: 9
Therefore, the median value of the set is 5.
Important Questions from Mean Median Mode
- The median of the following set of numbers: 154, 130, 144, 137, 156, 146, 138, 149, 160, 138 is:
- Let $X$ be a continuous random variable whose cumulative distribution function (CDF)
$F_X(x) = \begin{cases} 0 & x < t \\ \frac{x-t}{4-t} & t \le x \le 4 \\ 1 & x \ge 4 \end{cases}$
If the median of $X$ is $3$, then what is the value of $t$? - The elements of the dataset $\{-5,1, a, 5, b\}$ are in ascending order. If both mean and median of the dataset are equal to 3, what is the value of $b$?
- The sample average of 50 data points is 40. The updated sample average after including a new data point taking the value of 142 is ________.
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is CORRECT?
