Question
The dot plot below shows the ages of a random sample of people at a baseball game.
The dot plot shows ages from 12 to 33 in intervals of 2. There is a dot above each of 12, 13, 14, and 15, two dots above 17, one dot above 18, two dots above 19, two dots above 20, one dot above 21, one dot above 22, two dots above 24, two dots above 26, three dots above 27, six dots above 28, six dots above 29, five dots above 30, nine dots above 31, eight dots above 32, and one dot above 33.
Use the drop-down menus to choose the response to make each statement true.
The distribution of ages is
(Select)
. This means that
(Select)
. The best measure of center to describe this data set is the
(Select)
.
The dot plot shows ages from 12 to 33 in intervals of 2. There is a dot above each of 12, 13, 14, and 15, two dots above 17, one dot above 18, two dots above 19, two dots above 20, one dot above 21, one dot above 22, two dots above 24, two dots above 26, three dots above 27, six dots above 28, six dots above 29, five dots above 30, nine dots above 31, eight dots above 32, and one dot above 33.
Use the drop-down menus to choose the response to make each statement true.
The distribution of ages is
(Select)
. This means that
(Select)
. The best measure of center to describe this data set is the
(Select)
.
Answers
GPT-4o mini
To complete the statements based on the provided dot plot information, we can analyze the distribution and determine the best measures for center.
1. **The distribution of ages is**: **right-skewed**.
- This means that there are more people at the younger ages (12 to around 28) and then a longer tail on the right side, indicating fewer older individuals.
2. **This means that**: **there are more younger ages and fewer older ages in the sample**.
- The right skew indicates an imbalance toward younger ages with fewer older ages.
3. **The best measure of center to describe this data set is the**: **median**.
- The median is less affected by skewed distributions compared to the mean.
Putting it all together, the completed statements would read:
The distribution of ages is **right-skewed**. This means that **there are more younger ages and fewer older ages in the sample**. The best measure of center to describe this data set is the **median**.
1. **The distribution of ages is**: **right-skewed**.
- This means that there are more people at the younger ages (12 to around 28) and then a longer tail on the right side, indicating fewer older individuals.
2. **This means that**: **there are more younger ages and fewer older ages in the sample**.
- The right skew indicates an imbalance toward younger ages with fewer older ages.
3. **The best measure of center to describe this data set is the**: **median**.
- The median is less affected by skewed distributions compared to the mean.
Putting it all together, the completed statements would read:
The distribution of ages is **right-skewed**. This means that **there are more younger ages and fewer older ages in the sample**. The best measure of center to describe this data set is the **median**.