Difference between revisions of "DesStats Exercises"
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= Exercises = | = Exercises = | ||
| − | + | Solutions in curly {curly brackets}. Worked solution clips can be found here [http://youtu.be/XkBsLdQ1YV4?hd=1 Q1 and Q2]. | |
| + | <ol> | ||
<ol> | <ol> | ||
<li><p>You have the following dataset:</p> | <li><p>You have the following dataset:</p> | ||
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<td align="center"><math>51</math></td> | <td align="center"><math>51</math></td> | ||
<td align="center"><math>51</math></td> | <td align="center"><math>51</math></td> | ||
| − | <td align="center"><math> | + | <td align="center"><math>48</math></td> |
<td align="center"><math>64</math></td> | <td align="center"><math>64</math></td> | ||
<td align="center"><math>39</math></td> | <td align="center"><math>39</math></td> | ||
| − | <td align="center"><math> | + | <td align="center"><math>49</math></td> |
</tr> | </tr> | ||
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</li> | </li> | ||
<li><p>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></p></li></ol> | <li><p>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></p></li></ol> | ||
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Latest revision as of 11:37, 27 August 2014
Exercises
Solutions in curly {curly brackets}. Worked solution clips can be found here Q1 and Q2.
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] Calculate the sample mean and the sample standard deviation of [math]x_i[/math]. [math]\{50,8.6410\}[/math]
Calculate the population standard deviation and variance of [math]x_i[/math]. [math]\{8.1976,67.2\}[/math]
What is the Median of [math]x_i[/math].[math] \{50\}[/math]
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]
