DesStats Exercises

Exercises

Solutions in curly {curly brackets}. Worked solution clips can be found here Q1 and Q2.

1. You have the following dataset:

   Data	[math]1[/math]	[math]2[/math]	[math]3[/math]	[math]4[/math]	[math]5[/math]	[math]6[/math]	[math]7[/math]	[math]8[/math]	[math]9[/math]	[math]10[/math]
   [math]x_i[/math]	[math]52[/math]	[math]48[/math]	[math]36[/math]	[math]62[/math]	[math]51[/math]	[math]51[/math]	[math]48[/math]	[math]64[/math]	[math]39[/math]	[math]49[/math]

   1. Calculate the sample mean and the sample standard deviation of [math]x_i[/math]. [math]\{50,8.6410\}[/math]

   2. Calculate the population standard deviation and variance of [math]x_i[/math]. [math]\{8.1976,67.2\}[/math]

   3. What is the Median of [math]x_i[/math].[math] \{50\}[/math]

2. You realise that you forgot to take account of an 11th observation that should be added to the above dataset. Your assistance adds the 11th observation and reports a new sample average of 49. What is the value of the observation that has been added? [math]\{39\}[/math]