Explanation Given: Data set is given to be { 1 , 2 , 3 , ... , N } with average A and median M . Concept: For the given set of data values d 1 , d 2 , ..... d N , the average A is calculated as, A = d 1 , + d 2 , ..... + d N N The median of the data set is the 50 t h percentile of the data set where half of the numbers in the data set are smaller or equal to the median and half are greater than median. For the data set { 1 , 2 , 3 , ... , N } , the median is the middle value which is calculated as, M = N + 1 2 ............. ( 1 ) The average is calculated as, A = d 1 , + d 2 , ..... + d N N Substitute the value of corresponding d i in the above formula for 1 ≤ i ≤ N . A = 1 + 2 + 3 + ...... + N N .................... ( 2 ) The sum of the first N number is given by, 1 + 2 + 3 +

Excursions In Modern Mathematics, 9th Edition

9th Edition

ISBN: 9780134494142

Author: Tannenbaum

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 15, Problem 73E

To determine

To show:

For the data set {1,2,3,...,N}, average is equals to median.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 15, Problem 72E

Chapter 15, Problem 74E

Students have asked these similar questions

Q11. Write each one of the following decimals in quotient of integers. Show your work. a) 2.3434 ... b) 4.586 c) 0.368 d) 3.524

Q8. Multiply in the indicated base. Show your work. a) 513 eight x 16eight b) 405 six x 213six

Q6. Subtract in the indicated base. Show your work. a) 5343 six- 3531 six b) 8BEA sixteen-A3F sixteen

Chapter 15 Solutions

Excursions In Modern Mathematics, 9th Edition

Ch. 15 - Exercises 1 through 4 refer to the data set shown...Ch. 15 - Exercises 1 through 4 refer to the data set shown...Ch. 15 - Exercises 1 through 4 refer to the data set shown...Ch. 15 - Exercises 1 through 4 refer to the data set shown...Ch. 15 - Exercises 5 through 10 refer to Table 15-13, which...Ch. 15 - Exercises 5 through 10 refer to Table 15-13, which...Ch. 15 - Exercises 5 through 10 refer to Table 15-13, which...Ch. 15 - Exercise 5 through 10 refer to Table 15-13, which...Ch. 15 - Exercise 5 through 10 refer to Table 15-13, which...Ch. 15 - Exercise 5 through 10 refer to Table 15-13, which...

Ch. 15 - Exercise 11 and 12 refer to the bar graph shown in...Ch. 15 - Exercise 11 and 12 refer to the bar graph shown in...Ch. 15 - Exercise 13 and 14 refer to the pie chart in Fig....Ch. 15 - Exercise 13 and 14 refer to the pie chart in Fig....Ch. 15 - Table 15-14 shows the class interval frequencies...Ch. 15 - Table 15-15 shows the class interval frequencies...Ch. 15 - Table 15-16 shows the percentage of U.S. working...Ch. 15 - Table 15-17 shows the percentage of U.S. workers...Ch. 15 - Exercises 19 and 20 refer to Table 15-18, which...Ch. 15 - More than Less than or equal to Number of babies...Ch. 15 - Exercises 21 and 22 refer to the two histograms...Ch. 15 - Exercises 21 and 22 refer to the two histograms...Ch. 15 - Consider the data set {3,5,7,4,8,2,8,3,6}. a.Find...Ch. 15 - Consider the data set {4,6,8,5.2,10.4,10,12.6,13}...Ch. 15 - Find the average A and median M of each of the...Ch. 15 - Find the average A and median M of each of the...Ch. 15 - Find the average A and median M of each of the...Ch. 15 - Find the average A and median M of each of the...Ch. 15 - Table 15-19 shows the results of a 5-point musical...Ch. 15 - Table 15-20 shows the ages of the firefighters in...Ch. 15 - Table 15-21 shows the relative frequencies of the...Ch. 15 - Table 15-22 shows the relative frequencies of the...Ch. 15 - Consider the data set {5,7,4,8,2,8,3,6}. a. Find...Ch. 15 - Consider the data set {4,6,8,5.2,10.4,10,12.6,13}....Ch. 15 - For each data set, find the 75th and the 90th...Ch. 15 - For each data set, find the 10th and the 25th...Ch. 15 - Table 15-20 Age 25 27 28 29 30 Frequency 2 7 6 9...Ch. 15 - This exercise refers to the math quiz scores shown...Ch. 15 - Prob. 39E Ch. 15 - Exercise 39 and 40 refer to SAT test scores for...Ch. 15 - Consider the data set {5,7,4,8,2,8,3,6}. a. Find...Ch. 15 - Consider the data set {4,6,8,5.2,10.4,10,12.6,13}....Ch. 15 - Prob. 43E Ch. 15 - This exercise refers to the distribution of the...Ch. 15 - Exercises 45 and 46 refer to the two box plots in...Ch. 15 - Exercises 45 and 46 refer to the two box plots in...Ch. 15 - For the data set {5,7,4,8,2,8,3,6}, find a. the...Ch. 15 - For the data set {4,6,8,5.2,10.4,10,12.6,13}, find...Ch. 15 - A realty company has sold N=341 homes in the last...Ch. 15 - Exercise 45 and 46 refer to the box plot in...Ch. 15 - Prob. 51E Ch. 15 - For Exercises 51 through 54, you should use the...Ch. 15 - For Exercises 51 through 54, you should use the...Ch. 15 - For Exercises 51 through 54, you should use the...Ch. 15 - The purpose of Exercises 55 and 56 is to practice...Ch. 15 - The purpose of Exercises 55 and 56 is to practice...Ch. 15 - Exercises 57 and 58 refer to the mode of a data...Ch. 15 - Exercises 57 and 58 refer to the mode of a data...Ch. 15 - Mikes average on the first five exams in Econ 1A...Ch. 15 - Explain each of the following statements regarding...Ch. 15 - In 2006, the median SAT score was the average of...Ch. 15 - In 2004, the third quartile SAT scores was...Ch. 15 - Prob. 63E Ch. 15 - Suppose that the average of 10 numbers is 7.5 and...Ch. 15 - Prob. 65E Ch. 15 - What happens to the five-number summary of the...Ch. 15 - Prob. 67E Ch. 15 - Prob. 68E Ch. 15 - Prob. 69E Ch. 15 - Prob. 70E Ch. 15 - Prob. 71E Ch. 15 - Prob. 72E Ch. 15 - Prob. 73E Ch. 15 - Suppose that the standard deviation of the data...Ch. 15 - Chebyshevs theorem. The Russian mathematician P.L....

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.