Question

Observations of a data are 16,72,0,55,10 and 41. chaitanya calculated the mode and median without taking the zero into consideration. Did Chaitanya do the right thing?

Answer 1

yes you r answer should be correct

Answer 2

Answer:

No, Chaitanya do not do the right thing.

Step-by-step explanation:

Given : Observations of a data are 16,72,0,55,10 and 41. Chaitanya calculated the mode and median without taking the zero into consideration.

To find : Did Chaitanya do the right thing?

Solution :

No, Chaitanya do not do the right thing as 0 is also a number of observation which is consider as the value of data.

Mode is the number of times a number repeat itself.

In the data 16,72,0,55,10,41

No number repeats therefore there is no mode.

Median of the even data is n=6

Sum of $\frac{n}{2}^{th}$ and $\frac{n}{2}+1^{th} terms$

$M=\frac{\frac{n}{2}+(\frac{n}{2}+1)^{th}}{2}$

$M=\frac{\frac{6}{2}+(\frac{6}{2}+1)^{th}}{2}$

$M=\frac{3^{rd}+4^{th}}{2}$

$M=\frac{0+55}{2}$

$M=\frac{55}{2}$

$M=27.5$

Therefore, The median of the data is 27.5.