Question 1 The lifetimes (in units of 106 seconds) of certain satellite components are shown in the frequency distribution given in ‘Dataset1’. 1. Draw a frequency polygon, histogram and cumulative frequency polygon for the data. 2. Calculate the frequency mean, the frequency standard deviation, the median and the first and third quartiles for this grouped data. 3. Compare the median and the mean and state what this indicates about the distribution. Comment on how the answer to this question relates to your frequency polygon and histogram.
Question 1
The lifetimes (in units of 106 seconds) of certain satellite components
are shown in the frequency distribution given in ‘Dataset1’.
1. Draw a frequency
polygon for the data.
2. Calculate the frequency mean, the frequency standard deviation,
the median and the first and third
3. Compare the median and the mean and state what this indicates
about the distribution. Comment on how the answer to this question relates to your frequency polygon and histogram.
4. Explain the logic behind the equations for the mean and standard
deviation for grouped data, starting from the original equations
for a simple list of data values.
5. Carry out an appropriate statistical test to determine whether the
data is
| Groups | Frequencies | Midpoints | Cumaltive Frequency | ||
| 300 | to | 307 | 14 | 303.5 | 14 |
| 307 | to | 314 | 15 | 310.5 | 29 |
| 314 | to | 321 | 38 | 317.5 | 67 |
| 321 | to | 328 | 84 | 324.5 | 151 |
| 328 | to | 335 | 84 | 331.5 | 235 |
| 335 | to | 342 | 41 | 338.5 | 276 |
| 342 | to | 349 | 15 | 345.5 | 291 |
| 349 | to | 356 | 9 | 352.5 | 300 |
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