**Decide which of the following statements are true.****Answer**- ✔️ Normal distributions are always symmetric and bell-shaped.- ⬜ On any normal distribution curve, you can find data values more than 5 standard deviations above the mean.- ⬜ The total area under a normal distribution curve with a standard deviation of 12 is three times the area under a normal distribution curve with a standard deviation of 4.- ⬜ For any normal distribution, only the mean and mode are equal. The median is different from the mean and mode.**Explanation:**- The first statement is true because normal distributions are defined to be symmetric around the mean and have a bell-shaped curve.- The other statements are false. Typically, data values more than 5 standard deviations from the mean are extremely rare. The area under any normal distribution curve represents a probability and is always equal to 1, regardless of the standard deviation. In a normal distribution, the mean, median, and mode are all equal.

Here we have given the multiple choice question about the normal distribution. We have to select the correct statement about the normal distribution. The statements are, □ Normal distributions are always symmetric and bell-shaped. □ On any normal distribution curve, you can find data values more than 5 standard deviations above the mean. □ The total area under a normal distribution curve with a standard deviation of 12 is three times the area under a normal distribution curve with a standard deviation of 4. □ For any normal distribution, only the mean and mode are equal. The median is different from the mean and mode.Answer: Normal distributions are always symmetric and bell-shaped. Explanation: Thr following properties about the normal distribution, i) The shape of normal distribution is always bell shaped and symmetric about the mean. ii) For any normal distribution mean, mode and median are equal. iii) Total area under the normal curve with any standard deviation is always 1. iv) For any normal distribution curve, there is no data values more than 5 standard deviations above the mean. Hence, correct statement is □ Normal distributions are always symmetric and bell-shaped.