This solution explains how to find the median and mode for the given email data.
Finding the Median Email Count
To calculate the median, first arrange the number of emails received over the six consecutive days in ascending order:
4, 9, 11, 15, 18, 18
There are 6 data points (an even number). The median is the average of the two middle numbers.
The middle numbers are the 3rd and 4th values, which are 11 and 15.
Median $= \frac{11 + 15}{2} = \frac{26}{2} = 13$
Finding the Mode Email Count
The mode is the value that appears most frequently in the dataset.
The dataset is: 4, 9, 11, 15, 18, 18.
By observing the data, the number 18 appears twice, which is more than any other number.
Therefore, the mode is 18.
Conclusion
The median email count is 13, and the mode email count is 18.
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 ________________.
