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1. Given the following height and weight data: ![Figure](link_to_figure) a) Describe the distribution of this data - Leaving Cert Home Economics - Question 1 - 2007

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1. Given the following height and weight data: ![Figure](link_to_figure) a) Describe the distribution of this data. b) What measures of central tendency ... show full transcript

Worked Solution & Example Answer:1. Given the following height and weight data: ![Figure](link_to_figure) a) Describe the distribution of this data - Leaving Cert Home Economics - Question 1 - 2007

Step 1

b) What measures of central tendency can be derived from this data?

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Answer

Measures of central tendency that can be derived from height and weight data include:

  • Mean: This is the average value calculated by summing all heights and weights and dividing by the total number of observations. The mean provides a good estimate of a typical value in the data set.

  • Median: This is the middle value when the data is sorted in ascending order. The median is useful as it is less affected by outliers compared to the mean.

  • Mode: This is the value that occurs most frequently in the data set. The mode can provide insights into the most common height or weight in the sample.

Collectively, these measures offer a comprehensive understanding of the central tendency of the data.

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