Match each type of distribution shape to its defining characteristics.

If a researcher determines that the distribution of scores on a psychology quiz is negatively skewed, what does this indicate about the students' performance?

A psychology researcher records the number of therapy sessions completed by patients before dropping out of a treatment program. Most patients drop out after only 1–2 sessions, but a small number of highly engaged patients continue for many sessions, stretching the data far to the right. The researcher concludes that this distribution is negatively skewed. Is this conclusion correct?

A psychology researcher is evaluating the distribution shapes of three different datasets. Arrange the following datasets in order starting from the one that is negatively skewed (position 1), to the symmetrical distribution (position 2), and ending with the positively skewed distribution (position 3).

A psychology researcher is drafting a presentation and needs to construct a hypothetical dataset that results in a negatively skewed distribution of 'Cognitive Test' scores (ranging from $0$ to $100$). Which of the following construction plans would successfully create this specific distribution shape?

In a positively skewed distribution, the majority of scores cluster toward the higher end of the scale, with a long tail stretching toward the lower values.

A cognitive psychologist finds that a word-recall task is extremely easy for university students, with the majority of students remembering almost all words, while only a few students remember very few. Analyze the shape of this resulting distribution and arrange its features as they would appear on the x-axis of a histogram, from the lowest number of words recalled (left) to the highest number of words recalled (right).

Match each type of distribution shape with its correct description as it would appear on a histogram.

A researcher measures the reaction times of participants in a cognitive task. Most participants respond very quickly, around 300 milliseconds, but a small number of participants are distracted and take significantly longer, with some times reaching 2,500 milliseconds. If these results were plotted on a histogram, which distribution shape would best represent the data?

A psychologist evaluates the performance of two groups on a memory test. Group A's scores are balanced and symmetrical. Group B's scores peak at the high end of the scale but have a long tail of very low scores. When critiquing why Group B's mean ($M$) is significantly lower than the score achieved by the majority of participants, the psychologist identifies that the _____ skew in Group B's data allows a few low-scoring outliers to disproportionately 'drag' the average down.

A psychology researcher is peer-reviewing a study where the author labeled a distribution of 'Number of Phobias' as symmetrical. The data shows that most participants have 0 or 1 phobia, but a small group of participants have 12 or more. To provide a correct evaluation of the distribution's shape, the reviewer should note that the presence of a long positive _____ indicates the distribution is actually positively skewed rather than balanced.

Explain how a researcher can visually distinguish between a symmetrical distribution, a negatively skewed distribution, and a positively skewed distribution when examining a histogram.

Based on the researcher's observations, diagnose the type of distribution shape shown in this histogram and justify your decision using the characteristics of the peak and tail.

Contrast the peak and tail positions of a negatively skewed distribution with those of a positively skewed distribution on a histogram.