UNIVERSIDAD REY JUAN CARLOS Dpto. Economía Financiera y
Contabilidad II
MARKETING APPLIED TO STATISTICS
DEGREE IN MARKETING
TOPIC 2: ONE VARIABLE STATISTICAL ANALYSIS
EXERCISES
Year 2011/12
Prepara tus exámenes
Prepara tus exámenes y mejora tus resultados gracias a la gran cantidad de recursos disponibles en Docsity
Consigue puntos base para descargar
Gana puntos ayudando a otros estudiantes o consíguelos activando un Plan Premium
Orientación Universidad
Prepara tus exámenes
Prepara tus exámenes y mejora tus resultados gracias a la gran cantidad de recursos disponibles en Docsity
Busca documentos
Prepara tus exámenes con los documentos que comparten otros estudiantes como tú en Docsity
Busca tu universidad
Encuentra los documentos específicos para los exámenes de tu universidad
Video Cursos
Estudia con lecciones y exámenes resueltos basados en los programas académicos de las mejores universidades
Quiz
Responde a preguntas de exámenes reales y pon a prueba tu preparación
Consigue puntos base para descargar
Gana puntos ayudando a otros estudiantes o consíguelos activando un Plan Premium
Comunidad
Pregúntale a la comunidad
Pide ayuda a la comunidad y resuelve tus dudas de estudio
Ebooks gratuitos
¡Nuestros e-books salva-estudiantes!
Descarga nuestras guías gratuitas sobre técnicas de estudio, métodos para controlar la ansiedad y consejos para la tesis preparadas por los tutores de Docsity
Statistical Analysis Exercises in Marketing: One Variable and Grouped Data - Prof. lhflaew, Apuntes de Turismo
Exercises from a marketing degree course at universidad rey juan carlos related to statistical analysis of one variable and grouped data. The exercises cover topics such as defining variable types, constructing frequency distributions, calculating measures of central tendency, and analyzing variability. Students are required to perform statistical calculations and interpret results.
Tipo: Apuntes
2014/2015
1 / 7
Esta página no es visible en la vista previa
¡No te pierdas las partes importantes!
Documentos relacionados
Vista previa parcial del texto
¡Descarga Statistical Analysis Exercises in Marketing: One Variable and Grouped Data - Prof. lhflaew y más Apuntes en PDF de Turismo solo en Docsity!
UNIVERSIDAD REY JUAN CARLOS Dpto. Economía Financiera y
Contabilidad II
MARKETING APPLIED TO STATISTICS
DEGREE IN MARKETING
TOPIC 2: ONE VARIABLE STATISTICAL ANALYSIS
EXERCISES
Year 2011/
Exercise 1
In certain company, the Human Resources Department has carried out a research regarding the wage per hour earned by their employees. Corresponding data, in euros, are presented next:
19 30 20 23 24 21 20 25 26 20 21 29 28 30 19 27 28 22 25 28 20 27 26 21 30 28 27 26 19 27 25 23 22 29 21 26 24 28 30 25 25 24 26 23 29 27 21 26 27 26 22 26 23 29 28 23 22 24 26 23
a) Realize a whole analysis of this variable, considering single-value data. In particular: a. Define the type of variable b. Construct the frequency distribution c. Elaborate a bar chart, discussing the skewness d. Calculate and interpret the arithmetic mean, the median and the mode e. Find the lowest wage earned by the top 25% employees with the highest salary f. Obtain and interpret the variance, the standard deviation and the coefficient of variation b) Now realize a whole analysis of this variable considering group data. With this purpose, construct intervals having the same extent. In your analysis, answer the six questions asked in the previous section. .
Exercise 2
A student obtained a grade of 12 in Mathematics and a mark of 22 in Law. Based on the grades achieved by all students (see the table), answer the following questions:
a) In which subject is there more absolute variability?
b) In which subject is there more relative variability?
c) In which subject the student got a higher mark?
Mathematics Law Puntuación ni Puntuación ni 0-4 47 0-7 0 4-10 32 7-12 23 10-14 17 12-17 24 14-30 4 17-22 20 22-27 18 27-32 15
4 All the observations are multiplied by 3
Exercise 6
A student is very interested in books concerning Statistical Inference. Therefore, he collects twenty copies and writes down its prices (in tens of euros). These are:
4 4 4 4 3 3 5 2 6 7 4 3 5 4 7 7 4 6 3 5
a) What is the most frequent price? b) If the student only considers the ten books with lowest prices, what is the maximum price he would be willing to pay? c) Discuss the role of the mean as a central tendency measure based on the statistics used to obtain the absolute dispersion and the relative dispersion.
Exercise 7
A company manufactures two kind of light bulbs: A and B. Those in class A last, on average, 1500 hours, while bulbs in class B last 2000 h. At the same time, respective standard deviations are 250 h and 300h. Under these conditions, determine:
a) The class of bulbs with higher absolute dispersion
b) The class of bulbs presenting higher relative dispersion
c) In which class of bulbs is the mean more representative of the whole?
Exercise 8
Be X a statistical variable characterized by a simmetric unimodal frequency distribution. Provided that:
N = 100 ∑ ^10000 ∑ 0 c = 2
Determine: a) The mean, the median and the mode. b) The variance, the standard deviation and the noncentral moment of second order. c) Defining Y as Y = 2X + 5; which one of the two variables presents higher coefficient of variation Y or X?
Exercise 9
A branch of a bank has observed the number of customers entering per minute during a period of half an hour. These are the results:
Xi n (^) i
0 40 1 26
Find and interpret: a) The mean, the median and the mode. b) The third quartile and the second decile. c) The range and the interquartile range. d) The variance, the standard deviation and the coefficient of variation. e) Does the distribution present skewness? Why?
Exercise 10
The number of cars sold by a dealer in 20 days are:
5 4 2 5 3 8 3 1 4 6 2 2 7 1 2 3 5 6 4 9
Calculate: a) The mean, the median and the mode, explaining the results. b) The maximum number of cars sold in the 25% of the days with the lowest sales. c) The minimum number of cars sold in the 20% of the days with the highest sales. d) The second noncentral moment of the distribution. e) The standard deviation and the coefficient of variation, interpreting the results. f) Depict the graph and discuss the skewness.
Exercise 11
The following table reports over the grades obtained by a student in five subjects and
corresponding credits:
Subject Marks Credits Mathematics 5 6
Accounting 6 4. Marketing 7 7.
Law 6 4. Statistics 8 6
a) What is the average grade the student got in those subjects?
b) In which population was the mean more powerful as a measure of central tendency? c) Considering the observation 3.4 in the first variable and the data 3.1 in the second one. Which observation is located furthest from its mean in relative terms?
Exercise 15
For a random sample of 20 students at a university, the accompanying table shows the number
of hours spent studying for an exam:
Study time (0-4] (4-8] (8-12] More than 12
Number of students 5 8 6 2
a) Calculate the sample mean and the sample standard deviation. b) Now consider the last range be (12-16] and obtain: 1 The sample mean 2 The sample variance 3 The sample standard deviation