Explanation Given: The data set is, 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43 Formula used: Five number summary: The median divides a data set into two halves. The set of numbers below the median is called the lower half and the set of numbers above the median is called the upper half. The median of the lower half is called the first quartile and is indicated by Q 1 ; the third quartile, denoted by Q 3 , is the median of the upper half. The five-number summary of a set of data values consists of the following: minimum value, Q 1 , median, Q 3 , maximum value Calculation: Consider the given data set, 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43 The minimum value in the data set is 15 and maximum value is 45. For finding the median first arrange the data set in increasing order, 15 , 18 , 18 , 21 , 21 , 23 , 24 , 26 , 27 , 31 , 36 , 41 , 43 , 44 , 45 The median is the middle value. The data set has 15 values. So, the middle value is 15 + 1 2 = 16 2 = 8 t h value To determine b) To graph: The box-whisker plot for the distribution, 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

See similar textbooks

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

Videos

Question

Chapter 14.2, Problem 18E

To determine

a)

To calculate:

The five number summary for the distribution.

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

To determine

b)

To graph:

The box-whisker plot for the distribution,

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.2, Problem 17E

Chapter 14.2, Problem 19E

Students have asked these similar questions

= Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry 19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and (iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m below ground level. Assume F, = 2.5. Use Terzaghi's equations. 0 Ne Na Ny 35 57.8 41.4 42.4 40 95.7 81.3 100.4

Q1 The SPT records versus depth are given in table below. Find qan for the raft 12% foundation with BxB-10x10m and depth of raft D-2m, the allowable settlement is 50mm. Elevation, m 0.5 2 2 6.5 9.5 13 18 25 No.of blows, N 11 15 29 32 30 44 0 estigate shear 12%

Chapter 14 Solutions

Mathematics All Around (6th Edition)

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.

a) To calculate: The five number summary for the distribution. 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43

Solution Summary: The author explains how the median divides a data set into two halves: the lower half and the upper half.

Concept explainers

Videos

a)

To calculate:

The five number summary for the distribution.

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

b)

To graph:

The box-whisker plot for the distribution,

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

Want to see the full answer?

Chapter 14 Solutions

a) To calculate: The five number summary for the distribution. 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43

Solution Summary: The author explains how the median divides a data set into two halves: the lower half and the upper half.

Concept explainers

Videos

a) To calculate: The five number summary for the distribution. 21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

b) To graph: The box-whisker plot for the distribution, 21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

Want to see the full answer?

Chapter 14 Solutions

a)

To calculate:

The five number summary for the distribution.

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

b)

To graph:

The box-whisker plot for the distribution,

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43