Question

allison collected a sample of security deposits and recorded the following numbers: $400, $425, $450, $500, $500, $650, $675, $700, $1000. if allison drops the unusually high-security deposit of $1000 from the data set, which of the following would not be affected? a.) the median security deposit. b.) the average security deposit. c.) the highest security deposit. d.) the spread of the security deposits.

Answer 1

To determine which of the following would not be affected if the unusually high-security deposit of $1000 is dropped, we need to analyze each option and determine the impact. Therefore correct option is B

Step-by-step explanation:

To determine which of the following would not be affected if the unusually high-security deposit of $1000 is dropped from the data set, we need to analyze each option:

1. The median security deposit: The median is the middle value when the data is arranged in ascending order. Removing the highest deposit will not change the position of the middle value, so the median will remain the same.
2. The average security deposit: The average, or mean, is calculated by summing all the values and dividing by the number of values. Dropping the highest deposit will reduce the sum, leading to a lower average.
3. The highest security deposit: Dropping the highest deposit will obviously change the highest value in the data set.
4. The spread of the security deposits: The spread refers to the range between the highest and lowest values. Removing the highest deposit will decrease the spread because the new highest value will be lower.

Therefore, the correct answer is b.) the average security deposit, as it is the only option that will be affected by dropping the highest deposit.