Correctly answer all questions. Double check all workWhich of the following is not a measure of center?meanvariancemedianmode============Find the mean in the data set below.{2, 2, 4, 4, 4, 5, 5, 6, 7, 8}44.757.8---------------------If the mean of the data set shown below is 16, what is the value of x?{10, 12, x, 9, 18, 14, 20, 23, 25, 10}1916315.7=========For which data set is the mean, median, and mode the same?{5, 6, 4, 4, 4, 6, 5, 6}{11, 12, 15, 16, 13, 12, 12}{100, 101, 105, 110, 109, 104, 105, 108, 103}{4.3, 6.4, 2.9, 3.1, 8.7, 2.8, 3.6, 1.9, 7.2}==========What is the mean of the numbers represented by x + 1, 3x - 2, and 2x - 5?2x - 2(6x - 7)/3(x + 1)/3x + 4================Find the population variance for the data set. Round to the nearest tenth.{67, 91, 94, 89, 63, 67, 86, 67, 77, 95}12.1162.5146.279.6=========Find the population standard deviation of the data set. Round to the nearest tenth.{20, 15, 32, 38, 27, 16, 21, 20, 34, 30, 40, 24, 23, 11, 40}9.386.49.080.6=================A teacher is comparing test grades for a unit test in her Algebra class. The mean of the scores is 78% with a standard deviation of 3.8. What range gives the set of values that are within two standard deviations of the mean?74.2 - 81.870.4 - 85.674.2 - 85.670.4 - 81.8===============Below is a list of the weights of Defensive tackles on the Chicago Bears NFL football team. Which measure of center best describes the data set?{300 lbs, 296 lbs, 309 lbs, 295 lbs, 300 lbs, 288 lbs}meanmedianmodenone of the above================The following data shows the amount of money students paid for textbooks at a college bookstore during the spring semester. What is the range of values that are within 1 standard deviation of the mean. Round to the nearest tenth.{338, 160, 210, 180, 166, 272, 128, 409, 240, 250, 160, 300, 340, 200, 194, 132, 202, 180, 420, 380, 325, 185, 233, 198}241.8 - 328.4155.2 - 241.8155.2 - 328.4328.4 - 415