The mean and standard deviation of the daily high temperatures were calculated in three cities for the month of September 2018. The z-score for the high temperature on September 19 for each city, relative to that city’s mean, is given.

Tempe, AZ: –2.94
Ankeny, IA: 0.45
Lubec, ME: –0.98
Which statements correctly compare the z-scores? Choose three correct answers.

The high temperature on September 19 in Tempe was the most abnormal.
The high temperature in Tempe on September 19 was the coldest of the cities.
The high temperature in Lubec on September 19 was the warmest of the cities.
Only Ankeny’s high temperature was warmer than the mean; Tempe and Lubec’s high temperatures were colder than the mean.
The high temperature on September 19 in Ankeny was the closest to the mean.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.