Question

1. As a result of observations, they collected patient’s recovery time measured in days:

5; 7; 12; 6; 7; 14; 7; 21; 10; 9; 6

Calculate measures of central location for this sample [5 marks]:

Median

Mean

Mode              

Describe a situation when median is a better statistic for a decision making [2 marks]:

Describe a situation when mean is a better statistic for a decision making [2 marks]:

Based on calculated statistics of central location describe a shape of recovery time distribution [3 marks]:

Modality:

Symmetry:

Skewness:

Kurtrosis:

2. What is the maximum recovery time to be in the top 10% of patients recovered fastest [3 marks]?

Answer 1

mean =    ΣX/n =    104.000   /   11   =   9.4545
Median=0.5(n+1)th value =    6th   value of sorted data
=   7.000  
mode= highest frequency data =    7

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when data is skewed then median is used as measure of central tendency than mean

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when data is normally distributed then MEAN is used as measure of central tendency than median

here , mean = median =mode

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data is not symmetric

mean > median

so , data is skewed

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Please revert back in case of any doubt.

Please upvote. Thanks in advance.