Math  /  Data & Statistics

QuestionHere are three histograms. (a) Which histogram is best described as bimodal?
Histogram A Histogram B (b) Which histogram is the closest to being symmetric? Histogram A Histogram B \square (c) Which histogram Histogram C
Histogram A Histogram B Histogram C (d) Which histogram is skewed to the left the most? Histogram A Histogram B Explanation Histogram C

Studdy Solution

STEP 1

1. A bimodal histogram has two distinct peaks.
2. A symmetric histogram has a similar shape on both sides of its central peak.
3. A histogram skewed to the left has a longer tail on the left side.

STEP 2

1. Identify the bimodal histogram.
2. Identify the symmetric histogram.
3. Identify the histogram skewed to the left.

STEP 3

Examine each histogram to determine which has two distinct peaks.
- **Histogram A**: Peaks around the middle with a gradual decrease on both sides. - **Histogram B**: Has two distinct peaks, one around 3 and another around 7. - **Histogram C**: Peaks towards the right with a gradual increase from left to right.
Histogram B is best described as bimodal.

STEP 4

Examine each histogram to determine which is closest to being symmetric.
- **Histogram A**: Peaks around the middle with a gradual decrease on both sides. - **Histogram B**: Has two distinct peaks. - **Histogram C**: Peaks towards the right with a gradual increase from left to right.
Histogram A is the closest to being symmetric.

STEP 5

Examine each histogram to determine which is skewed to the left.
- **Histogram A**: Peaks around the middle. - **Histogram B**: Has two distinct peaks. - **Histogram C**: Peaks towards the right with a gradual increase from left to right.
Histogram C is skewed to the left the most.
Answers: (a) Histogram B is best described as bimodal. (b) Histogram A is the closest to being symmetric. (c) Histogram C is skewed to the left the most.

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