Find the (a) mean, (b) median, (C) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us? 50 48 61 9 56 46 20 60 97 73 34 O Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode(s) is(are) (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) O B. There is no mode. d. Find the midrange. The midrange is. (Type an integer or a decimal rounded to one decimal place as needed.) e. What do the results tell us? O A. Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results. O B. The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers. OC. The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers. O D. The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.

Find the (a) mean, (b) median, (C) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us? 50 48 61 9 56 46 20 60 97 73 34 O Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode(s) is(are) (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) O B. There is no mode. d. Find the midrange. The midrange is. (Type an integer or a decimal rounded to one decimal place as needed.) e. What do the results tell us? O A. Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results. O B. The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers. OC. The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers. O D. The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.

Name: ### Statistical Analysis of Jersey NumbersThis section provides an ex
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: ### Statistical Analysis of Jersey NumbersThis section provides an example of calculating basic statistical measures—mean, median, mode, and midrange—using a set of data. It also includes an interpretation of the results.#### Problem Statement**Find

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The number of credits being taken by a sample of 13 full-time college students are listed below.…

A: From the provided information, Number of observation (n) = 13 The data values are as follow: 9, 9,…

Q: The Insurance Institute for Highway Safety crashed the 2010 Hondo Civic four times at 10 miles per…

A: It is given that the data $420, $462, $409, $236

Q: The number of credits being taken by a sample of 13 full-time college students are listed below.…

A: Formula : Mean = Σx/n

Q: n engineer wants to know if the mean strengths of three different concrete mix designs differ…

A: The null hypothesis in a hypothesis test will indicate that there is no relationship between the…

Q: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given…

A: PART A SOLUTION:Step 1: List and identify the number of scores15, 26, 89, 80, 37, 83, 73, 72, 32,…

Q: Use the following information to demonstrate how to construct a data table. Make sure the data table…

A: #Given, the students in your class with there favourite color- 15 blue, 12…

Q: A group of students were asked how many brothers and/or sisters they had. The following table…

A: Given that:Number of brothers and sisters01234Number of responses31421593

Q: A class of eleven people received the test scores shown below, sorted by score. 32 51 69 73 74 75 82…

A: Given data set is 32,51,69,73,74,75,82,89,93,98,100 n=No. of observation=11

Q: Given the following set of data, determine the median. 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1

Q: The number of credits being taken by a sample of 13 full-time college students are listed below.…

A: From the provided information, The data values are as follow: 9, 9, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8,…

Q: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the median of the set of data. 84, 72, 221, 152, 266, 249, 239 O A. 183 О В. 221 ОС. 239 O D.…

A: Consider the given data 84, 72, 221, 152, 266, 249, 239. Write the given data in ascending order as,…

Q: (a) What is the probability that all five have written an editorial letter while under the influence…

A: Given : 32% say they have written an editorial letter while under the influence of alcohol.…

Q: Here is the second data set. 49 84 44 89 74 26 80 39 92 49 d. What is the mean (T) of this data set?…

A: We know that Mean=sum of observation/numbar of observation Median=middle value of the data set.…

Q: Consider the data set {-14.14,11.3,-6.2,8.6,8.6,-5.8,-6.2-12.1} find the average and median

A: Given data set {-14.14,11.3,-6.2,8.6,8.6,-5.8,-6.2,-12.1}Arrange the data in ascending order:…

Q: What is the median of these restaurant ratings? 1 1 2 2 4 4 5

A: Median is the middle value of the series. Median for the odd discrete series is given by-…

Q: Use the data set below to complete parts (a) through (c). 2,7,1,4,11 a. Determine the…

A: data : 2,7,1,4,11 a) mean=sum of all observations total number of observations =255…

Q: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the…

A: The given data is as follows. 32 64 28 51 6 10 49 86 12 57 58 It is asked to find, (a) mean (b)…

Q: Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: A high school has 28 players on the football team. The summary of player's weights is given in the…

A: Here we have to find median from the given box plot

Q: Find the mean, median, mode, and range for the following data set and determine the most appropriate…

A: The following data has been provided: 9, 3, -5, -3, -7, 3, 0, 6, -9, -7, -3, -8

Q: In Exercises, we have provided simple data sets for you to practice the basics of finding measures…

A: Given data2, 5, 0, -1Mean is given by

Q: Find the mean, median, and mode for the scores in the following frequency distribution table x f 1…

A: Let us write the frequency table in ascending order. x f 1 5 2 2 3 2 4 2 5 2 6 1…

Q: A high school has 40 players on the football team. The summary of the players' weights is given in…

Q: Each year, tornadoes that touch down are recorded and published. The following table gives the…

A: Given the number of tornadoes that touched down in the United States during each month of one year…

Q: Find the mean, median, and mode of the following scores. test score…

A: Mean , Mode and Median

Q: Find the median of the following list of weights (in pounds) of Boston terriers at a pet store. 11,…

A: 11,42,15,3,21,45,71,53,8,64,35,32,54sample size(n)=13

Q: number of being taken by a sample f any measure cannot be found or does not represent the center of…

A: Sample size Sample data: 9, 11, 12, 12, 9, 10, 8, 8, 8, 8, 8, 8, 9.

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 two parameters.

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 or measure of central tendency is a central or typical value for a probability distribution.

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 comparison between two scores that belong to different normal distributions.

Topic Video

Question

### Statistical Analysis of Jersey Numbers

This section provides an example of calculating basic statistical measures—mean, median, mode, and midrange—using a set of data. It also includes an interpretation of the results.

#### Problem Statement
**Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.**

#### Data
Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team:

50, 48, 61, 9, 56, 46, 20, 60, 97, 73, 34

#### Questions
- (a) **Calculate the Mean**
- (b) **Determine the Median**
- (c) **Identify the Mode**
- (d) **Compute the Midrange**
- (e) **Analyze the Results**

#### Steps and Handout
1. **Mode Calculation:**
Select the correct choice and, if necessary, fill in the blanks to complete the answer:
- **Option A**: The mode(s) is(are) ____. (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
- **Option B**: There is no mode.

2. **Midrange Calculation:**
Find the midrange.
- **Midrange:**
The midrange is ____. (Type an integer or a decimal rounded to one decimal place as needed.)

3. **Interpreting Results:**
What do the results tell us?
- **Option A**: Since only 11 of the jersey numbers were in the sample, the statistics cannot give any meaningful results.
- **Option B**: The midrange gives the average (or typical) jersey number, while the mean and median give two different interpretations of the spread of possible jersey numbers.
- **Option C**: The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers.
- **Option D**: The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.

#### Explanation of Statistical Measures
- **Mean**: The average value of the dataset.
- **Median**: The middle value when the data points are arranged in ascending order.
-

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Introduction

VIEW

Step 2 Answer & Explanation

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

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

Similar questions

The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The classes, in years of service, are 0-4.9, 5-9.9, etc., and the vertical axis represents the number of faculty. (a) What percent of the department faculty have 5 or more years of service? (answer in %) (b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 10 and 25 years of service? (c) What is the probability the representative above will have less than 15 years of service given that the person has less than 20 years of service?
The accompanying table shows the numbers of capital prisoners (prisoners on death row) in 2017 in eleven western U.S. states. Complete parts (a) through (e) below.
101 people were interviewed and were asked about the number of bicycles that they had in their household. The results are shown in the table below: Number of Bicycles Frequency 15 1 30 20 3 15 15 6. What is the median of this set of data? Select one: O a. O b. 4 OC. 3 Od. 2. 45
The tuition and fees (in thousands of dollars) for the top 14 universities in a recent year are listed below. Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. 39 43 43 47 43 35 41 41 47 47 46 43 43 41 Find the mode of the costs. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The mode(s) of the costs is (are). (Round to one decimal place as needed. Use a comma to separate answers as needed.) B. There is no mode. Does (Do) the mode(s) represent the center of the data? A. The mode(s) represent(s) the center. B. The mode(s) does (do) not represent the center because it (they) is (are) not a data value. C. There is no mode. D. The mode(s) does (do) not represent the center because it (one) is the smallest data value. O E. The mode(s) does (do) not represent the center because it (one) is the largest data value.
In Exercises, we have provided simple data sets for you to practice the basics of finding measures of center. For each data set, determine the a.mean.b.median.c.mode(s). 3, 5, 7
Find the mean and median (in that order) for the data set: 2,5,2,8,3, a. 2,4 b. 4,2 c 3,4 d 4,3
The tuition and fees (in thousands of dollars) for the top 14 universities in a recent year are listed below. Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. 44 42 39 42 46 44 47 44 44 35 42 46 46 44 Find the mean cost. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 000 A. The mean cost is 43.2. (Round to one decimal place as needed.) B. There is no mean cost. Does the mean represent the center of the data? A. The mean represents the center. B. The mean does not represent the center because it is the smallest data value. OC. The mean does not represent the center because it is the largest data value. D. The mean does not represent the center because it is not a data value. OE. There is no mean cost.
We are going to calculate the mean, median, and mode for two sets of data. Please show your answer to one decimal place if necessary.Here is the first data set. 48 78 53 22 45 42 61 97 87 22 54 what is the mean (¯xx¯) of this data set? What is the median of this data set? What is the mode of this data set? Here is the second data set. 49 84 44 89 74 26 80 39 92 49 What is the mean (¯xx¯) of this data set? What is the median of this data set? What is the mode of this data set?
A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the mean of the data. Round your answer to the nearest hundredth, if necessary. Building Toy Pieces 152 37 257 342 342 37 96 288 257 101 162 200 Copy Data
Find the median?
A student was interested in the cigarette-smoking habits of college students and collected data from an unbiased random sample of students. The data are summarized in the following table. Males who smoke Males who do not smoke Females who smoke Females who do not smoke What type of chart best represents the relative class frequencies? Multiple Choice Pie chart Box plot Frequency polygon 10 40 15 60 Scatterplot
What is the median of the following data set: 34, 12, 18, 49, 26, 12