Tommy Teacher wants to analyze the weights of the students at his school. He knows the weight of the students is normally distributed so he can use the standard normal distribution. He measures the weight of 100 randomly selected students in the school. He finds the mean is 80 pounds and the standard deviation is 8 pounds.

Out of 100 students, how many should weigh between 64 and 96 pounds?

Question

Tommy Teacher wants to analyze the weights of the students at his school. He knows the weight of the students is normally distributed so he can use the standard normal distribution. He measures the weight of 100 randomly selected students in the school. He finds the mean is 80 pounds and the standard deviation is 8 pounds.

Out of 100 students, how many should weigh between 64 and 96 pounds?

kropot72 · Answer

The interval between 64 and 96 pounds is 32 pounds which is plus minus 2 standard deviations from the mean. Do you know the percentage of the total area under the standard normal distribution that is included within +-2 standard deviations from the mean?

kropot72 · Answer

The percentage is about 95.45%. So how many out of 100 students should weigh between 64 and 96 pounds?

kropot72 · Answer

@DancingMushrooms Are you there?

anonymous · Answer

oh ya sorry lol hold on

anonymous · Answer

ok thank you makes sense now

kropot72 · Answer

Great. Glad to hear that you get it :)