Practice with Measures of the Center of Data

Complete these exercises and check your answers.

Questions

Use the following information to answer the next three exercises: The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16 ; 17 ; 19 ; 20 ; 20 ; 21 ; 23 ; 24 ; 25 ; 25 ; 25 ; 26 ; 26 ; 27 ; 27 ; 27 ; 28 ; 29 ; 30 ; 32 ; 33 ; 33 ; 34 ; 35 ; 37 ; 39 ; 40

42. Identify the median.
43. Identify the mode.


Use the following information to answer the next three exercises: Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Calculate the following:

44. sample mean =\bar{x}= _______
45. median = _______
46. mode = _______

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

47. 1; 1; 1; 2; 2; 2; 2; 3; 3; 3; 3; 3; 3; 3; 3; 4; 4; 4; 5; 5
48. 16; 17; 19; 22; 22; 22; 22; 22; 23


Source: Rice University, https://openstax.org/books/introductory-statistics/pages/2-practice
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