There are three children aged three,four,and five in a room.If another four-year-old child enters the room,what will happen to the mean and variance?
A)The mean will stay the same,but the variance will increase.
B)The mean will stay the same,but the variance will decrease.
C)The mean and variance will both stay the same.
D)The mean and variance will both decrease.

Question

Quizplus · Accepted Answer

Adding another four-year-old child to the group will not change the mean age because the new child's age is equal to the current mean age (4 years). However, the variance will decrease because the ages of the children will be closer to the mean, reducing the spread of the data.

There Are Three Children Aged Three,four,and Five in a Room