Plot a Histogram and a Box Plot - Measures of Central Location - Statistics Assignment Help

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Assignment Task :

Q 1 

Students

 

a. Plot a histogram and a box•plot.  
b. Calculate the mean, standard deviation, median and the interquartile range of this dataset.  
c. Comment on the distribution of data in this dataset. Which measures of central location and spread better describe this data distribution? Justify your choke. 
d. Calculate what proportion of data lies with the distance of one standard deviation to the left and to the right of the mean. 
e. Compare your answer in question d. to the case of normal distribution. 

 

Q2
Lune Homes company sells on average 3 homes per day. You can use statistical tables or Excel to answer these questions. 
a. Compute the probability that the company sells at least two homes tomorrow. Justify your choice of a probability distribution.  
b. How many homes would they have to sell on average per day so that the probability of selling no home on any given day is less than 5%? Your answer must be given as a whole number. 
c. What is the probability that the company sells more than five homes in three days?  

 

Q3
The price of shares uniformly changes between -8% and 8% of their opening price during a trading day.

a. Sketch the probability density function of a random continuous variable X that represents the change in the price of shares.
b. Find the probability that by the end of a trading day the price of shares will increase by less than 4%?
c. Find the probability that by the end of a trading day the price of shares will drop between 3-6 %? 

 

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