### Calculate the descriptive statistics of z score

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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.

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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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