Most multivitamins contain calcium to maintain strong bones

Most multivitamins contain calcium to maintain strong bones and to lower the risk of heart disease. A random sample of multivitamins was obtained, and the calcium content for each is given in the given table. 156 151 173 201 182 166 173 180 174 185 160 178 173 169 203 190 187 202 173 171

Fill in the blanks. 1. The value of mean( x) is . (Give your answer to two decimal places.) 2. The value of variance( s 2) is . (Give your answer to four decimal places.) 3. The value of standard deviation( s) is . (Give your answer to four decimal places.) Fill in the blanks. (Give your answers to one decimal places.) 1. The proportion of observations within one standard deviations about the mean is . 2. The proportion of observations within two standard deviations about the mean is . 3. The proportion of observations within three standard deviations about the mean is .

Solution

1 MEAN 177.35

2 VARIANCE 207.5026

3 SD 14.4050

1 68.2%

2 95.4%

3 99.73%