Question

do now: given the boxplot, write two statements about the data. describe each of these distributions. if more than one term applies, include all the terms that describe each distribution. where possible, use the terms: symmetric distribution, skewed distribution, bell - shaped distribution, uniform distribution, bimodal distribution. 1. dot plot 2. dot plot 3. dot plot 4. dot plot

Explanation:

Do Now (Boxplot Statements)

Step 1: Analyze the boxplot's median

The median (line inside the box) is at 19, splitting the box into two equal - looking parts. So the data around the median is relatively symmetric.

Step 2: Analyze the whiskers

The left whisker (from 12 to 15) and the right whisker (from 21 to 24) have similar lengths (visually). Also, the minimum value is 12 and the maximum is 24. We can say:

1. The median of the data is 19.
2. The data appears to be symmetric as the two halves of the box (around the median) and the whiskers on both sides have a relatively balanced appearance.

Distribution Descriptions

1.

• Step 1: Identify the peak and tail

The dot plot has a peak around 6 and the tail extends towards the higher values (10, 11). So it is a skewed distribution (right - skewed) because the tail is on the right side. Also, it has a single peak, so it's not bimodal. It's not symmetric, bell - shaped (doesn't have the typical bell curve shape), or uniform (values are not evenly distributed).

• Answer for 1: Skewed (right - skewed) distribution.

2.

• Step 1: Identify the peak and tail

The dot plot has a peak around 2 - 3 and the tail extends towards the higher values (7, 8, 9). So it is a skewed distribution (right - skewed) as the tail is on the right. It has a single peak, not bimodal, not symmetric, not bell - shaped, not uniform.

• Answer for 2: Skewed (right - skewed) distribution.

3.

• Step 1: Identify the number of peaks

The dot plot has two distinct peaks, one around 1 and one around 10. So it is a bimodal distribution. Also, the data is symmetric around the middle (between 5 - 6) as the left and right parts (around the middle) have a similar pattern. So it is also symmetric. It's not skewed (since it's symmetric), not bell - shaped (two peaks), not uniform.

• Answer for 3: Bimodal and symmetric distribution.

4.

• Step 1: Identify the distribution type

The dot plot has values that are relatively evenly distributed across the range from 1 to 11. So it is a uniform distribution. It doesn't have a single peak (or has multiple small peaks that are evenly spaced), not skewed, not bell - shaped, not bimodal.

• Answer for 4: Uniform distribution.

Answer:

Do Now (Boxplot Statements)

Step 1: Analyze the boxplot's median

The median (line inside the box) is at 19, splitting the box into two equal - looking parts. So the data around the median is relatively symmetric.

Step 2: Analyze the whiskers

The left whisker (from 12 to 15) and the right whisker (from 21 to 24) have similar lengths (visually). Also, the minimum value is 12 and the maximum is 24. We can say:

1. The median of the data is 19.
2. The data appears to be symmetric as the two halves of the box (around the median) and the whiskers on both sides have a relatively balanced appearance.

Distribution Descriptions

1.

• Step 1: Identify the peak and tail

The dot plot has a peak around 6 and the tail extends towards the higher values (10, 11). So it is a skewed distribution (right - skewed) because the tail is on the right side. Also, it has a single peak, so it's not bimodal. It's not symmetric, bell - shaped (doesn't have the typical bell curve shape), or uniform (values are not evenly distributed).

• Answer for 1: Skewed (right - skewed) distribution.

2.

• Step 1: Identify the peak and tail

The dot plot has a peak around 2 - 3 and the tail extends towards the higher values (7, 8, 9). So it is a skewed distribution (right - skewed) as the tail is on the right. It has a single peak, not bimodal, not symmetric, not bell - shaped, not uniform.

• Answer for 2: Skewed (right - skewed) distribution.

3.

• Step 1: Identify the number of peaks

The dot plot has two distinct peaks, one around 1 and one around 10. So it is a bimodal distribution. Also, the data is symmetric around the middle (between 5 - 6) as the left and right parts (around the middle) have a similar pattern. So it is also symmetric. It's not skewed (since it's symmetric), not bell - shaped (two peaks), not uniform.

• Answer for 3: Bimodal and symmetric distribution.

4.

• Step 1: Identify the distribution type

The dot plot has values that are relatively evenly distributed across the range from 1 to 11. So it is a uniform distribution. It doesn't have a single peak (or has multiple small peaks that are evenly spaced), not skewed, not bell - shaped, not bimodal.

• Answer for 4: Uniform distribution.