Print bookPrint book

Practice with Measures of the Center of Data

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Practice with Measures of the Center of Data
Printed by: Guest user
Date: Friday, 4 April 2025, 5:50 PM

Description

Complete these exercises and check your answers.

Table of contents

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
Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 License.

Answers

43. The most frequent lengths are 25 and 27, which occur three times. Mode = 25, 27
45.  4
47.  The data are symmetrical. The median is 3 and the mean is 2.85. They are close, and the mode lies close to the middle of the data, so the data are symmetrical.