Question

the dot plot below represents some distribution.
identify the answer choice that best describes the shape of the distribution.
answer attempt 1 out of 3
skewed to the right skewed to the left
symmetric uniform

Explanation:

Step1: Recall Skewness Definitions

• Skewed right: Tail on right (higher values), peak left.
• Skewed left: Tail on left (lower values), peak right.
• Symmetric: Mirror image around center.
• Uniform: Equal dot count across values.

Step2: Analyze Dot Plot

• The dot plot has peaks at 0, 13, 26, 39. The number of dots (frequency) decreases as we move from 13 to 39 (right side). The tail is on the right (toward higher values, 39 has few dots, 26 more than 39, 13 more than 26? Wait, no—wait, the tallest peak is at 13, then 0, then 26, then 39. Wait, no, looking at the plot: the column at 13 is the tallest, then 0, then 26, then 39 (shortest). Wait, no, the tail: when skewed right, the tail is on the right (higher values have fewer data points). Here, as we go to higher values (from 13 to 26 to 39), the frequency (dots) decrease. So the tail is on the right (toward 39, which has the least dots). Wait, no—wait, skewed right means the tail is on the right (longer on right). Let's check: the data is more concentrated on the left (lower values) and tapers off to the right (higher values). Wait, no, the tallest bar is at 13, then 0, then 26, then 39. Wait, maybe I misread. Wait, the x-axis is 0, 13, 26, 39. The dots at 13 are the most, then 0, then 26, then 39 (least). So as we move from 0 to 13 (increase), frequency increases; then from 13 to 26 (increase), frequency decreases; then from 26 to 39 (increase), frequency decreases more. Wait, no, the tail: skewed right is when the tail is on the right (higher values). So the data has a longer tail on the right (more spread out on the right). Wait, but in the plot, the number of dots at 39 is the least, 26 more than 39, 0 more than 26? No, wait, the column at 0: let's count (visually). The column at 13 is the tallest. Then 0: less than 13? Wait, no, maybe I got the x-axis wrong. Wait, the x-axis labels: 0, 13, 26, 39. So 0 is leftmost, 13 next, 26, 39 rightmost. The dots at 13 are the most, then 0, then 26, then 39 (least). So the tail is on the right (toward 39), because the frequency decreases as we move from 13 to 39 (right direction). So the distribution is skewed to the right? Wait, no—wait, skewed right: mean > median, tail on right. Skewed left: mean < median, tail on left. Wait, maybe I made a mistake. Wait, let's re-express: the data points are at 0,13,26,39. The frequency (dots) at 13 is highest, then 0, then 26, then 39 (lowest). So as we go to higher values (from 0 to 39), after 13, the frequency decreases. So the tail is on the right (since higher values have lower frequency). So the distribution is skewed to the right? Wait, no, wait—if the tallest bar is at 13, then 0, then 26, then 39, that would mean the data is more on the left (0 and 13) and tapers off to the right (26, 39). So the tail is on the right. So skewed to the right.

Wait, but maybe I misread the plot. Let me check again. The dot plot: the column at 13 is the tallest (most dots), then 0 (less than 13), then 26 (less than 0), then 39 (least). So the data is concentrated at 13, then 0, then 26, then 39. So as we move from 13 to 39 (right), the frequency decreases. So the tail is on the right (toward 39). So the distribution is skewed to the right.

Answer:

Skewed to the right