Question

Please answer all questions

pH in Water:

The acidity of alkalinity of a solution is measured using pH. A pH less than 7 is acidic; a pH greater than 7 is alkaline. The following data represent the pH in samples of bottled water and tap water.

Tap	7.64	7.45	7.47	7.50	7.68	7.69
	7.45	7.10	7.56	7.47	7.52	7.47
Bottled	5.15	5.09	5.26	5.20	5.02	5.23
	5.28	5.26	5.13	5.26	5.21	5.24

a)Determine the mean, median and mode pH for each type of water.

b)Comment on the differences between the two water types.

c)Suppose the pH of 7.10 in tap water was incorrectly recorded as 1.70. How does this affect the mean? The median?

d)What property of the median does this illustrate?

e)Which type of water has more dispersion in pH using the range as the measure of dispersion?

f)Which type of water has more dispersion in pH using the standard deviation as the measure of dispersion?

The Empirical Rule:

SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

g)What percentage of SAT scores is between 401 and 629?

h)What percentage of SAT scores is less than 401 or greater than 629?

Answer 1