The mean of the following series is ______. (rounded off to three decimal places) $0.01, 0.02, 0.03, \cdots \cdots, 1$
Series Mean Calculation
The question asks for the mean of the series: $0.01, 0.02, 0.03, \cdots \cdots, 1$. This is an arithmetic progression.
Arithmetic Progression Properties
To find the mean of an arithmetic progression, we can use the formula:
$ \text{Mean} = \frac{\text{First Term} + \text{Last Term}}{2} $
Identifying Series Terms
- First Term ($a$) = $0.01$
- Last Term ($l$) = $1$
Calculating the Mean
- Substitute the values into the formula:
$ \text{Mean} = \frac{0.01 + 1}{2} $
- Simplify the expression:
$ \text{Mean} = \frac{1.01}{2} $
- Calculate the final value:
$ \text{Mean} = 0.505 $
The question requires the answer rounded to three decimal places. The calculated mean $0.505$ is already in this format.
Final Result
The mean of the series is 0.505.
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 ________________.
