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Identify which term best describes the distribution of this data - AQA - A-Level Maths Pure - Question 12 - 2022 - Paper 3
Question 12
Identify which term best describes the distribution of this data. Circle your answer. negatively skewed normal positively skewed symmetrical
Worked Solution & Example Answer:Identify which term best describes the distribution of this data - AQA - A-Level Maths Pure - Question 12 - 2022 - Paper 3
Step 1
Identify which term best describes the distribution of this data.
Answer
To determine the distribution of the data represented by the box plot, we observe the positioning of the median in relation to the quartiles and the range of the data.
In this box plot, the median is closer to the lower quartile (4) than to the upper quartile (17), indicating that there are more data points concentrated on the left side than on the right. Furthermore, the whisker extending from the upper quartile to the maximum value (23) is longer than the whisker extending from the lower quartile to the minimum value (1). This suggests that the data has a longer tail on the right side.
Thus, the distribution is best described as positively skewed, as there are more observations on the lower end of the scale with a longer tail on the higher end.