Median of Even Number of Data Set

Q.

Find the median of:

First eight multiples of $8$

Q. The height of $6$ boys of a locality is represented in the tabular form as follows


Find their median height.

1. $172\text{cm}$
2. $157.8\text{cm}$
3. $161\text{cm}$
4. $158.5\text{cm}$

Q. Find the median of the following even numbered data set:

Q. The speeds of cars passing a 20 km/h speed limit sign are recorded in the following table.
Speeds of Cars (km/h)

32	41	89	12	16	20
15	28	50	25	30	48
31	25	53	61

What is the median speed of these cars?

1. 30 km/h and 31 km/h
2. 30 km/h or 31 km/h
3. 30.50 km/h
4. 36 km/h

Q. The score of a team in a football tournament of $6$ matches is shown below,


Find the median score of the team.

1. $12$
2. $3$
3. $8.5$
4. $6.5$

Q. Daniel's hobby is reading books. His reading time is plotted in the given stem-and-leaf plot. If 3 is added to each observation, what will be the new median?

1. 37
2. 32
3. 35
4. 36

Q.

Consider the following observations regarding the median of a data set:

Observation I: The median is defined only for numerical data.

Observation II: For an odd number of data points, the median is the central value after rearranging, whereas for an even number of data points, the median is the mean of two central values after rearranging.

Observation III: Unlike mode, the median may or may not be the same as an existing data point.

1. Only observation I and II are correct.
2. Only observation II is correct.
3. All the observations are correct.
4. One or more observation(s) is/are correct but cannot be generalized.

Q. Samuel recorded the marks he scorded in $12$ quizzes. The scores obtained are as follows:


What will be his median score?

1. $72$
2. $73.08$
3. $75$
4. $73.5$

Q. The number of candies bought by Adam on four different days is given as


If the median value is $22$, then which of the following will be the correct representation of the given data?

1. 
2. 
3. 
4.