Impact on Median

Q.

The following observations have been arranged in ascending order.

If the median of the data is $63$, find the value of $\mathrm{x}$.

$29,32,48,50,x,x+2,72,78,84,95$

Q.

The number of goals scored by a hockey team in 13 matches are $0,1,0,2,3,0,3,4,2,0,2,1$and $3$. Find mean median and mode of the distribution.

Q. An outlier is a value in a data set that is very different from all the other values of the data set.

1. True
2. False

Q.

Median is one of the observations in the data if number of observations is ___.

Q. The following data depicts the age of people present in the class:


With respect to this data, choose the correct following options.

1. Miss Ellie's age will have no effect on the median of the data.
2. Miss Ellie's age will increase the mode of the data.
3. The mode with Miss Ellie's age is same as the mode without Miss Elllie's age.
4. Miss Ellie's age will decrease the median of the data.

Q. The sale of chocolates is recorded for a week and is represented as follows:


Find the outlier and the change observed in the median in the absence of outliner.

1. 57; the median will increase.
2. 27; the median will decrease.
3. 57; the median will decrease.
4. 27; the median will increase.

Q. Find the mean of the following data without Outlier.
Data : 35, 45, 5, 25, 55.

1. 33
2. 32
3. 40

Q. The difference between the median of the numbers $7,5,4,8,9,25$ with and without outlier is .

Q. Choose whether the given statement is true or false.

"The presence of outlier in the data always changes its median."

1. True
2. False

Q. If the variation of a data is more it means that the consistency of the data is high.

1. False
2. True

Q.

The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

(i) Find the mode and median of this data.

(ii) Is there more than one mode?

Q. The data below below represents the number of sheets bought by different persons.


Identify the outlier and the median without outlier.

1. $2,3.5$
2. $15;2$
3. $15;3.5$
4. $2;4$