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
- Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20.
Ignoring permutations, the number of ways to pick these five integers is _____ A data set is given to be $[1, 2, 0, -1, -3, 1, 2, 0, 1]$.
The median of the data set is ____. (rounded off to the nearest integer)
- The following sequence of numbers is arranged in increasing order: 1, x, x, x, y, y, 9,16,18. Given that the mean and median are equal, and are also equal to twice the mode, the value of y is
- 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 mean absolute deviation about the median for the data 3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21 (rounded off to two decimal places) is ________________.
