Question

The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $1200, and the standard deviation is $130. Use the Empiri___________.

Answer 1

The Empirical Rule in mathematics predicts that around 95% of data points in a normal distribution will fall within two standard deviations of the mean; thus for an HD television with a mean price of $1200 and a standard deviation of $130, most prices will lie between $940 and $1460.

Step-by-step explanation:

The student's question is related to the Empirical Rule, which is a statistic rule used in mathematics to describe the distribution of values in a normal distribution. According to the Empirical Rule, for a normal distribution:

• Approximately 68 percent of the data is within one standard deviation of the mean.
• Approximately 95 percent of the data is within two standard deviations of the mean.
• More than 99 percent of the data is within three standard deviations of the mean.

This rule allows us to make predictions about the distribution of data points based on the mean and standard deviation. So, for the HD television with a mean price of $1200 and a standard deviation of $130, we would expect roughly 95% of the price observations to fall between $940 ($1200 - 2*$130) and $1460 ($1200 + 2*$130) based on the Empirical Rule.