Question

1. smart kids the histogram displays the iq scores of 60 randomly selected fifth - grade students from one school. which measure of center is the more appropriate choice in this setting? explain.
2. do kids eat fruit? we all know that fruit is good for us. following is a histogram of the number of servings of fruit per day claimed by 74 seventeen - year - old students in a study in pennsylvania. find the mean and median. show your method clearly.
3. how much for that house? the mean and median selling prices of existing single - family homes sold in the united states in may 2014 were $260,700 and $213,600.

a. which of these numbers is the mean and which is the median? explain your reasoning.
b. write a sentence to describe how an unethical politician could use these statistics to argue that may 2014 home prices were too high.

1. baseball salaries, means and medians suppose that a major league baseball teams mean yearly salary for its players is $2.3 million and that the team has 25 players on its active roster. what is the teams total annual payroll? if you knew only the median salary, would you be able to answer this question? why or why not?

Explanation:

Step1: Analyze the distribution of IQ scores

The histogram of IQ scores is likely to be roughly symmetric or slightly skewed. For symmetric or slightly skewed distributions, the mean is a good measure of center as it takes into account all values.

Step2: Recall the properties of mean and median

The mean is calculated by summing all values and dividing by the number of values. The median is the middle - value. In a symmetric or slightly skewed (not highly skewed) distribution, the mean is more appropriate as it uses all data points for calculation.

Answer:

The mean is the more appropriate measure of center. The histogram of IQ scores is likely symmetric or slightly skewed. The mean uses all data points (sum of all IQ scores / 60) to give a balance - point of the data, while the median is just the middle value. Since the data is not highly skewed (as would be the case for a very asymmetric distribution where median is better), the mean is more appropriate.