Asked by Keyuri Patel on May 26, 2024
Verified
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.
Variance
A statistical measure of the dispersion or spread of data points in a data set, indicating how far each data point in the set is from the mean.
Mean
The arithmetic average of a set of numbers, calculated by adding them together and dividing by the count of numbers.
Aged
Refers to something or someone of advanced age; in statistics, it might relate to data or populations that are considered old or outdated.
- Analyze the effect of adding data on the mean and variance of a dataset.
Verified Answer
NR
nareen reddyJun 01, 2024
Final Answer :
B
Explanation :
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.
Learning Objectives
- Analyze the effect of adding data on the mean and variance of a dataset.