Mathematics
Which of the following statements is/are correct?
(i) Mean of a data can be smaller than the smallest number of the data.
(ii) Mean of a data can be bigger than the largest number of the data.
Only (i)
Only (ii)
Both (i) and (ii)
Both are wrong
Answer
(i) If we have a set of numbers, the average cannot be lower than the lowest value because there is no data pulling the average down past that point.
∴ Statement (i) is wrong.
(ii) Mean of a data cannot be bigger than the larger number because the average represents a "middle" value. So, their average cannot mathematically go beyond that value.
∴ Statement (ii) is wrong.
Both are wrong.
Hence, option 4 is the correct option.
Related Questions
Average marks obtained by students of a class in an exam is 70. Which of the following is definitely incorrect?
(i) One of the students scored more than 100 marks.
(ii) One of the students scored less than 10 marks.
Only (i)
Only (ii)
Both (i) and (ii)
None of these
A government agency collected the data of individual incomes of 10,625 people and decided that the individual that have less income than the median of the data are economically poor. Assuming that all the individuals have different incomes, which of the following is correct?
The number of economically poor people is less than the number of rich people.
The number of economically poor people is more than the number of rich people.
Exactly half of the people are economically poor.
We can't say anything about the number of economically poor people.