Properties of a Mean

Q.

Mean of the observations can be lesser than each of the observations

1. True
2. False

Q. Choose the correct option for below statements.

Statement I: The mean always lies between the smallest and the largest values in a data set.

Statement II: The mean should be one of the given values of a data set.

1. Only Statement I is correct.
2. Both the statements are correct.

Q. For the given set of data of the number of pretzels sold for a week, Sophia says that the mean will lie between 5 and 35.
Thomas says that it will be greater than 35.
Timothy says it that will be lesser than 5.
Who is correct?

1. Thomas
2. Sophia
3. Timothy
4. None of them

Q. The mean cannot be found for which of the following data sets?

1. Only data set 1
2. Only data set 3
3. Only data set 2
4. Data sets 1 and 2