6. 5 friends measure their heights and the results are shown below.156 cm. 153 cm, 151 cm , 150 cm , 170 cmA box plot is to be made from this data.Discuss the benefits and drawbacks of using a box plot based on this data.Discuss the sample size and any outliers

Benefits of using a box plot:

1. A box plot provides a visual summary of the data, making it easier to understand the distribution of heights among the friends.
2. It shows the median height, which is a better measure of central tendency when there are outliers, as it is not affected by extreme values.
3. It also shows the interquartile range (IQR), which gives an idea of the spread of the middle 50% of the data. This can be useful to understand how much variation there is in the heights of the friends.
4. It can help identify any outliers in the data. Outliers are values that are significantly different from the rest of the data. In this case, the height of 170 cm could be considered an outlier.

Drawbacks of using a box plot:

1. A box plot does not show the exact values of the data, so we cannot see the individual heights of the friends.
2. It does not show the frequency of each height. For example, if two friends have the same height, this would not be reflected in the box plot.
3. It does not provide information about the mean and standard deviation, which are other important measures of central tendency and dispersion.

The sample size in this case is 5, which is quite small. This means that the box plot might not provide a very accurate representation of the distribution of heights in the larger population of all friends.

As for outliers, the height of 170 cm could be considered an outlier, as it is much higher than the rest of the values. This could skew the data and affect the interpretation of the box plot.