Quiz-Normal Distributions 1: A group of students weighs 500 US pennies. They find that the pennies have normally
distributed weights with a mean of 3.1g and a standard deviation of 0.149.

a) Sketch the normal curve for this distribution below. Label the mean and three
standard deviations above and below the mean.

b.) What percent of the pennies have a weight that lies between:

2.969 and 3.249 (i. e., within one standard deviation of the mean)?

2.829 and 3.389 (i. e., within two standard deviations of the mean)?

2.68g and 3.529 (i. e., within three standard deviations of the mean)?

C.) How many pennies have a weight that lies within

2.969 and 3.249 (i. e., within one standard deviation of the mean)?

2.829 and 3.389 (i. e., within two standard deviations of the mean)?

2.689 and 3.529 (i. e., within three standard deviations of the mean)?

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

-1/2 +2

step-by-step explanation: