GATE Civil 2023 Set 1 | GA | Question: 7

Question

Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), $P(x)$, of a variable $x?$ 

• A. mean $=$ median $\neq$ mode
• B. mean $=$ median $=\operatorname{mode}$
• C. $\operatorname{mean} \neq \operatorname{median}=\operatorname{mode}$
• D. mean $\neq$ mode $=$ median

Comments

 

Answer 1

The Correct Answer is Option A)

Mean is equal to median . But the mode  is 13 or -13 because both have same Probability Mass Function .

Answer 2

Answer: A

• Mean : The average of a set of numbers=0
• Median:the average of the two middle values if there is an even number=0
• Mode: The value of x that has heigest probability hence -13 or 13

Answer 3

take eg 2,3,4,5  

mean = 2+3+4+5/4=3.5

Median middle value =3+4/2=3.5

median is the highest probabilty value

eg 5 ,4   which is not equal to mean and median

Option A is correct