6 The temperature of a supermarket fridge is regularly checked to ensure that it is working correctly. Over a period of three months the temperature (measured in degrees Celsius) is checked 600 times. These temperatures are displayed in the cumulative frequency diagram below.
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- Use the diagram to estimate the median and interquartile range of the data.
- Use your answers to part (i) to show that there are very few, if any, outliers in the sample.
- Suppose that an outlier is identified in these data. Discuss whether it should be excluded from any further analysis.
- Copy and complete the frequency table below for these data.
| Temperature | | \(( t\) degrees Celsius \()\) |
| \(3.0 \leqslant t \leqslant 3.4\) | \(3.4 < t \leqslant 3.8\) | \(3.8 < t \leqslant 4.2\) | \(4.2 < t \leqslant 4.6\) | \(4.6 < t \leqslant 5.0\) |
| Frequency | | | 243 | 157 | |
- Use your table to calculate an estimate of the mean.
- The standard deviation of the temperatures in degrees Celsius is 0.379 . The temperatures are converted from degrees Celsius into degrees Fahrenheit using the formula \(F = 1.8 C + 32\). Hence estimate the mean and find the standard deviation of the temperatures in degrees Fahrenheit.