Given the histogram of this data, summarize the distribution of the data.

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BlackTom AI · Accepted Answer

To begin, observe the overall shape of the histogram and what it says about where most data lie. The tallest bar is on the left side of the chart, indicating a high concentration of observations at lower ages. This suggests the bulk of data points cluster near the lower end of the scale. 
Next, look at the right side: there are bars extending toward higher ages, forming a tail that stretches to the right. The presence of that longer tail toward larger values signals that the distribution is not symmetric and that the right tail is longer than the left tail. 
Consider Option 2, which posits a skew to the left. A left-skewed (negative skew) distribution would have most data on the right with a tail to the left; this is inconsistent with the histogram, which shows the highest frequencies on the left and a tail to the right. Thus, this option describes the opposite pattern. 
Option 3 claims that the distribution cannot be determined from the histogram. In this case, the histogram clearly shows a concentrated mass on the left and a tail on the right, allowing us to describe the skewness; therefore, this option is not accurate given the visible shape. 
Option 1 states that the data are skewed to the right. This aligns with the observed high frequency at lower values (left) and a gradual decline with a tail to higher values (right), matching a right (positive) skew. 
In summary, the left-heavy concentration with a rightward tail is inconsistent with left-skew or indeterminacy, and it supports a right-skew interpretation. The reasoning hinges on the location of the bulk of the data versus the extension toward the higher end of the axis, which is characteristic of right skew.

ISOM2500 (L4) Practices for Module 1 (A)

Given the histogram of this data, summarize the distribution of the data.

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ISOM2500 (L4) Practices for Module 1 (A)

Given the histogram of this data, summarize the distribution of the data.

View Explanation

Log in for full answers

Similar Questions

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If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?