1) You are looking at buying a new phone and decide to look up the ratings on Amazon. You look at the ratings and see that the phone has been rated \(1, 3, 4, 2, 5, 4, 2, 2, 1, 2, 5, 5, 2, 4\) stars.
a) What is the range of the data?
b) Find the mean, median, mode without calculator.
c) Which central measure of tendency (mean, median, or mode) would best represent the data?
2) The temperatures in in May close to graduation were: \(60, 59, 56, 72, 68, 75, 81, 67, 64, 5\) degrees. Calculate the standard deviation by hand (you may use a calculator for the formula only) and round to the nearest thousandth.
3) The GPAs of several of your closest friends are: \(3.5, 4.2, 3.7, 4.5, 4.1, 3.0, 2.8, 4.3, 3.9, 3.8, 3.9\). Using your calculator:
a) Find the mean and median.
b) Calculate the standard deviation to the nearest thousandth.
4) You spent the past several weekends babysitting. The following amounts are how much you earned each time you babysat: \(\$30, \$55, \$65, \$20, \$50, \$90, \$30, \$35, \$55\). Using your calculator:
a) Find the mean and median to the nearest hundredth.
b) Calculate the standard deviation to the nearest hundredth.
c) Which central measure of tendency (mean, median, or mode) would best represent the data?
5) Your mom is training for a marathon and the last several Saturdays she has gone out for a long run and ran the following amount of miles: \(9, 13.1, 16, 13.1, 10, 19, 15, 12, 18, 13.1, 20\). Your uncle is also training for a marathon and these are the distances (in miles) of his Saturday long runs. \(9, 10, 7, 12, 10, 15, 16, 12, 18, 14, 20\). Using your calculator:
a) Who is averaging more miles throughout their training?
b) Whose mileage is closer to the mean, and whose is more spread out?
6) Which central measure of tendency (mean, median, or mode) would best represent the data based on the following surveys:
a) A survey about peoples’ favorite pet.
b) A Honors Algebra 2 Test on Logarithms where all students got A’s, B’s, and C’s and one student was absent for 2
weeks, took the test anyways, and failed the test.
c) A gym class and their average mile time.
Solution Bank
a) What is the range of the data?
b) Find the mean, median, mode without calculator.
c) Which central measure of tendency (mean, median, or mode) would best represent the data?
2) The temperatures in in May close to graduation were: \(60, 59, 56, 72, 68, 75, 81, 67, 64, 5\) degrees. Calculate the standard deviation by hand (you may use a calculator for the formula only) and round to the nearest thousandth.
3) The GPAs of several of your closest friends are: \(3.5, 4.2, 3.7, 4.5, 4.1, 3.0, 2.8, 4.3, 3.9, 3.8, 3.9\). Using your calculator:
a) Find the mean and median.
b) Calculate the standard deviation to the nearest thousandth.
4) You spent the past several weekends babysitting. The following amounts are how much you earned each time you babysat: \(\$30, \$55, \$65, \$20, \$50, \$90, \$30, \$35, \$55\). Using your calculator:
a) Find the mean and median to the nearest hundredth.
b) Calculate the standard deviation to the nearest hundredth.
c) Which central measure of tendency (mean, median, or mode) would best represent the data?
5) Your mom is training for a marathon and the last several Saturdays she has gone out for a long run and ran the following amount of miles: \(9, 13.1, 16, 13.1, 10, 19, 15, 12, 18, 13.1, 20\). Your uncle is also training for a marathon and these are the distances (in miles) of his Saturday long runs. \(9, 10, 7, 12, 10, 15, 16, 12, 18, 14, 20\). Using your calculator:
a) Who is averaging more miles throughout their training?
b) Whose mileage is closer to the mean, and whose is more spread out?
6) Which central measure of tendency (mean, median, or mode) would best represent the data based on the following surveys:
a) A survey about peoples’ favorite pet.
b) A Honors Algebra 2 Test on Logarithms where all students got A’s, B’s, and C’s and one student was absent for 2
weeks, took the test anyways, and failed the test.
c) A gym class and their average mile time.
Solution Bank