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
- 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?
