Explanation Approach for five-number summary: Step 1: Arrange the numbers in ascending order. Step 2: Compute the minimum and maximum value for the data set. Now that your numbers are in order, this should be easy to spot. Step 3: Compute the median. Step 4: Place parentheses around the numbers above and below the median. Step 5: Find Q 1 and Q 3 . Q 1 is the median in the lower half of the data and Q 3 is the median in the upper half of the data Step 6: Write down the five numbers summary by using the following steps. Minimum value , Q 1 , Median, Q 3 and Maximum value . Definition: Median: First arrange a set of data values in increasing or decreasing order. The median is the middle value in the list of arranged data values. Case 1: If there are an odd number of values, then the median is the value in the middle position. Case 2: If there is an even number of values, then the median is the mean of two middle values. Given: The list of wins by the Boston Red Sox from 2005 to 2015: 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 . Calculation: Compute the five-number summary by using the approach mentioned above. Arrange the numbers in ascending order. 69 , 71 , 78 , 86 , 8 9 , 90 , 95 , 95, 95 , 96 , 9 7 . Compute the minimum and maximum value for the data set. Thus, the maximum value of the distribution is 97 and the minimum value of the distribution is 69. Compute the median by using the definition mentioned above. Here, number of values are 11. The number 11 is an odd number. Compute the median of the distribution by using the median formula case 1 mentioned above. 69 , 71 , 78 , 86 , 8 9 , 90 , 95 , 95, 95 , 96 , 9 7 Thus, the middle value is 90 To determine b) To construct: The box-and-whisker plot for the distribution 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 .

6th Edition

ISBN: 9780134506470

Author: Pirnot

Publisher: PEARSON

See similar textbooks

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Videos

Question

Chapter 14.CT, Problem 8CT

To determine

a)

To calculate:

The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

To determine

b)

To construct:

The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.CT, Problem 7CT

Chapter 14.CT, Problem 9CT

Students have asked these similar questions

A survey of 250 young professionals found that two-thirds of them use their cell phones primarily for e-mail. Can you conclude statistically that the population proportion who use cell phones primarily for e-mail is less than 0.72? Use a 95% confidence interval. Question content area bottom Part 1 The 95% confidence interval is [ ], [ ] As 0.72 is ▼ above the upper limit within the limits below the lower limit of the confidence interval, we ▼ can cannot conclude that the population proportion is less than 0.72. (Use ascending order. Round to four decimal places as needed.)

2. Answer the following questions using vectors u and v. --0-0-0 = find the the cosine similarity and the angle between u and v. འརྒྱ (a) (b) find the scalar projection of u onto v. (c) find the projection of u onto v. (d) (e) (f) find the scalar projection of onto u. find the projection of u onto u. find the projection of u onto and the projection of onto . (Hint: find the inner product and verify the orthogonality)

I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)

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 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 .

Solution Summary: The author explains how to calculate the five-number summary for the Boston Red Sox from 2005 to 2015.

Concept explainers

Videos

a)

To calculate:

The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

b)

To construct:

The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

Want to see the full answer?

Chapter 14 Solutions

a) To calculate: The five-number summary for the distribution 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 .

Solution Summary: The author explains how to calculate the five-number summary for the Boston Red Sox from 2005 to 2015.

Concept explainers

Videos

a) To calculate: The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

b) To construct: The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

Want to see the full answer?

Chapter 14 Solutions

a)

To calculate:

The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

b)

To construct:

The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.