Explanation Approach: To create a box plot we need to find Range, First quartile, Second quartile and third quartile of the dataset. Step 1: Find the range, difference between maximum value and minimum value in the given dataset. Step 2: calculate second quartile of the given dataset. Q 2 (Second quartile): it is nothing but median of the dataset. Step 3: calculate first quartile of the given dataset. Q 1 (First quartile): it is the median of all the items below Q 2 , also called median of lower portion of the dataset. Step 4: calculate third quartile of the given dataset. Q 3 (Third quartile): it is the median of all the items above Q 2 , also called median of upper portion of the dataset. Step 5: draw a box between first and third quartile and draw a dashed line at second quartile above a numerical scale. Extend first quartile with a single line to minimum value, similarly extend third quarter with a single line to maximum value in the dataset. Calculation: The given dataset is x = ( 12 , 19 , 23 , 23 , 24 , 32 , 32 , 34 , 34 , 36 , 43 , 45 , 47 , 54 , 56 , 57 ) . Total number of data values n = 16 . To create a box plot for the given dataset, we need to find Q 2 (the median), Q 1 (First quartile) and Q 3 (Third quartile). Step 1: Range of the dataset is, Range = 57 − 12 = 45 . Step 2: First, let’s find the median Q 2 (the median). Median: In the given set, there are 16 data values that is even, therefore median is the mean of 8 th and 9 th data value as shown below, 12 , 19 , 23 , 23 , 24 , 32 , 32 , 34 , 34 ︸ median = 34 + 34 2 = 34 , 36 , 43 , 45 , 47 , 54 , 56 , 57 Q 2 = 34 Step 3: Now, let’s find the Q 1 (First quartile) which is the median of lower portion ( 12 , 19 , 23 , 23 , 24 , 32 , 32 , 34 ) of dataset below median

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 14.2, Problem 21PS

To determine

To create:

A box plot for the given data below,

12, 19, 23, 23, 24, 32, 32, 34, 34, 36, 43, 45, 47, 54, 56, 57.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.2, Problem 20PS

Chapter 14.2, Problem 22PS

Students have asked these similar questions

. find median for given data 15,56,85,96,68,98,9,75,25,15,49

Problems 1. Draw the stem and leaf diagram for the following data 1,44, 46, 47, 49, 63, 64, 66, 68, 68, 72, 72, 75, 76, 81, 84, 88, 106, – 16

. Make frequency distribution and back-to-back stem & leaf plot of the following data sets. Data set (Male): 22, 53, 29, 35, 27, 45, 25, 31, 63, 62, 23, 57, 62, 39, 45, 52, 27, 33, 65. Data set (Female): 19, 43, 23, 31, 24, 35, 22, 53, 52, 18, 47, 52, 29, 35, 42, 23, 33, 55, 61.

Chapter 14 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 14.1 - IN YOUR OWN WORDS Name and describe several...Ch. 14.1 - IN YOUR OWN WORDS Distinguish between a frequency...Ch. 14.1 - IN YOUR OWN WORDS Write down what you think the...Ch. 14.1 - Prob. 4PS Ch. 14.1 - Consider the line graph shown in Figure 14.11. a....Ch. 14.1 - Prob. 6PS Ch. 14.1 - Consider the line graph shown in Figure 14.13. a....Ch. 14.1 - Prob. 8PS Ch. 14.1 - The amount of electricity used in a typical...Ch. 14.1 - At a well-known major university, the career...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

To create: A box plot for the given data below, 12, 19, 23, 23, 24, 32, 32, 34, 34, 36, 43, 45, 47, 54, 56, 57.

Solution Summary: The author explains how to create a box plot for the given dataset.

Videos

To create: A box plot for the given data below, 12, 19, 23, 23, 24, 32, 32, 34, 34, 36, 43, 45, 47, 54, 56, 57.

Want to see the full answer?

Chapter 14 Solutions

To create:

A box plot for the given data below,

12, 19, 23, 23, 24, 32, 32, 34, 34, 36, 43, 45, 47, 54, 56, 57.