Calculate the descriptive statistics of z score

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Reference no: EM132280418

Assignment: Descriptive statistics

Background

Rental costs are significant part of the overall cost of a University education for many international students. The student union at a large city-based university is concerned about the affordability of reasonably priced student housing. They take a survey of one- bedroom accommodation within half an hour's travelling time to the campus. In the survey, data of the weekly rental cost (in dollars), and the location of the property were collected. The locations of properties are in two categories, "near" which contains properties which are in the same area, and "other" which are not in the same area of the university, but are within 30 minutes by public transportation.

Questions

Question 1

When student search for a rental property, it is useful to divide the properties into different categories according to the weekly rent as shown in the following table.

Intervals (dollars)

Frequency

Percentage

0 to 200

 

 

Over 200 to 250

 

 

Over 250 to 300

 

 

Over 300 to 350

 

 

Over 350

 

 

Find the frequencies and percentage associated with these 5 categories. Create a bar chart of the frequencies associated with these 5 categories and a pie chart of the percentage associated with these 5 categories. Briefly discuss the table and chart.

Question 2

Construct a histogram of the weekly rents. Briefly state what the histogram is telling us about the distribution of the weekly rent. To construct the histogram, you should obtain the frequency of the weekly rental cost for each category as shown in the table.

Intervals

Frequency

0 to50

 

Over 50 to 100

 

Over 100 to 150

 

Over 150 to 200

 

Over 200 to 250

 

Over 250 to 300

 

Over 300 to 350

 

Over 350 to 400

 

Over 400 to 450

 

Over 450

 

Question 3
Using excel to find the descriptive statistics for the weekly rents. Give your answers in this table to two decimal places.

Table Descriptive statistics of weekly rents

Mean

 

Standard Error

 

Median

 

Mode

 

Standard Deviation

 

Sample Variance

 

Kurtosis

 

Skewness

 

Range

 

Minimum

 

Maximum

 

Sum

 

Count

 

First quartile

 

Third quartile

 

Interquartile range

 

Coefficient of variation

 

Question 4
Briefly comment on the three measures of central tendency given in the table. Comment on the distribution of the weekly rent.

Question 5
Briefly comment on the four measures of variability given in the table.

Question 6
Calculate the z scores with excel function, and calculate the descriptive statistics of z score, comment on the mean and standard deviation of z score.

Question 7
Any value with Z score less than -3.0, or greater than +3.0 is classified as outliers. Identify the outlier in the dataset if there is any outlier? Compare the data analysis results with and results without outliers. Comment on the change of central tendency, variation, and the distribution.

Question 8
The weekly rent of property "near" and "other" could be quite different in many aspects. Therefore, the analyst decided to analyse the data separately for the properties "near" and "other"

Create histogram for both "near", and "other". Briefly state what the histogram is telling you about the shape of the two distributions.

Question 9
Calculate the descriptive statistics for both "near" and "other".

Question 10
Discuss and compare the central tendency and variation of the properties "near" and "other".

Attachment:- Assignment Data.rar

Verified Expert

Rent level of the rental property falls between $200 and $300 which indicates the most of the rental property has rent around $250 for the purpose.Near category has higher rent of the rented property than that of rental property in Other category.A measure of central tendency is higher in case of Near category than that in Other category.The variability in the case of Near category is higher than that in the case of Other category.

Reference no: EM132280418

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Reviews

len2280418

4/11/2019 4:12:22 AM

This assignment must be submitted using the Moodle assignment submission system. This assignment is marked out of 50 and is worth 10% of the total assessment. Each question is worth 5 marks. Copy and paste the relevant Excel tables, and graphs into a Word document. Ensure that all graphs and tables used are well labelled, including titles. The assignment is to be handed in as an electronic copy of the completed Word document or as a pdf document. Do not submit the Excel file in which you completed your working.

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