identify any clusters, gaps, or outliers in the histogram. model year 2020 plug-in hybrid electric vehicles (histogram with x - axis driving range (in miles) and y - axis frequency). select all that apply. a. there is a cluster between 475 miles and 525 miles. b. there is a cluster between 475 miles and 575 miles. c. there is an outlier at approximately 675 miles. d. there is an outlier at approximately 325 miles. e. there is a gap between 475 miles and 625 miles. f. there is a gap between 225 miles and 275 miles. g. the histogram has no clusters, gaps, or outliers.

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# Brief Explanations:
- **Cluster Analysis**: A cluster is a group of data points with high frequency. Looking at the histogram, the bar between 475 - 525 (or around 500) has a high frequency (tall bar), so A is correct. B's range (475 - 575) includes lower - frequency bars after 525, so B is wrong.
- **Outlier Analysis**: An outlier is a data point far from others. The bar at 200 - 250 has low frequency, but the bar at 650 has some frequency. However, the bar at 200 - 250 is relatively isolated? Wait, no, the gap between 225 - 275 (F) is a gap (no bars), and the bar at 200 - 250 is an outlier? Wait, no, let's re - examine:
    - The bar at 200 - 250 has frequency 2, then a gap between 225 - 275 (no bars), so F is a gap.
    - The cluster at 475 - 525 (A) because the bar around 500 is very tall.
    - The outlier: the bar at 200 - 250 (frequency 2) is isolated from the main cluster (starts at 300), so is there an outlier? Wait, option D says 325, but 325 is in 300 - 350 which is part of the main cluster. Option C says 675, but the last bar is 650. Wait, maybe I misread. Wait the x - axis is 200, 250, 300, 350, 400, 450, 500, 550, 600, 650. So the first bar is 200 - 250 (frequency 2), then a gap between 225 - 275? Wait 200 - 250, then next bar is 300 - 350. So the gap is between 225 - 275 (F is correct). The cluster: the bars from 300 - 500 have relatively high frequency, and the bar at 500 (475 - 525) is the tallest, so A is correct. The outlier: the bar at 200 - 250 (frequency 2) is an outlier? But option D is 325, which is in 300 - 350 (part of the cluster). Option C is 675, but the last bar is 650. Wait, maybe the outlier is at 200 - 250, but there's no option for that. Wait, let's check the options again:
    - Option A: Cluster between 475 - 525 (the tall bar at 500, so this is a cluster of high frequency) - correct.
    - Option F: Gap between 225 - 275 (between 200 - 250 and 300 - 350, no bars) - correct.
    - Wait, maybe I made a mistake. Let's re - evaluate:
        - Cluster: A cluster is a concentration of data. The bar at 500 (475 - 525) is very tall, so A is correct. B's range is 475 - 575, but after 525, the frequency drops, so B is wrong.
        - Gap: Between 225 - 275 (no bars between 200 - 250 and 300 - 350), so F is correct.
        - Outlier: The bar at 200 - 250 (frequency 2) is an outlier? But the options for outlier are C (675) and D (325). 325 is in 300 - 350 (part of the cluster), 675 is beyond 650 (no bar there). Wait, maybe the outlier is not present in the options as I thought. Wait, maybe the correct options are A and F? Wait, no, let's check the histogram again. The first bar is 200 - 250 (frequency 2), then a gap (225 - 275, no bars), then bars from 300 - 650. The cluster is at 300 - 500, with the tallest bar at 500 (475 - 525), so A is correct. The gap is between 225 - 275 (F is correct). Also, is there an outlier? The bar at 200 - 250 is an outlier because it's isolated from the main cluster (starts at 300). But the options for outlier: D is 325 (in the cluster), C is 675 (no bar). Wait, maybe the question's options have A, F, and maybe others? Wait, let's re - check the options:
            - A: Cluster 475 - 525: Correct, as the bar here is very tall (high frequency).
            - F: Gap 225 - 275: Correct, no bars between 200 - 250 and 300 - 350.
            - Wait, maybe I missed. Let's see the frequency: 200 - 250 (2), 300 - 350 (5), 350 - 400 (8), 400 - 450 (5), 450 - 500 (5), 500 - 550 (13), 550 - 600 (2), 600 - 650 (2), 650 - 700 (3). Wait, maybe the cluster is 475 - 525 (A) because 500 - 550 has frequency 13. The gap is 225 - 275 (F) because between 200 - 250 and 300 - 350, there's no bar (225 - 275). Also, is there an outlier? The bar at 200 - 250 (frequency 2) is an outlier? But the options for outlier are D (325) and C (675). 325 is in 300 - 350 (part of the cluster), 675 is beyond 650 (no bar). Wait, maybe the answer is A and F? Wait, no, let's check the options again. The options are:
                - A: Cluster 475 - 525: Correct.
                - F: Gap 225 - 275: Correct.
                - Also, is there an outlier? The bar at 200 - 250 is an outlier, but there's no option for that. Wait, maybe the question has A, F, and maybe another? Wait, maybe I made a mistake. Let's see the original histogram:

The x - axis is driving range (miles): 200, 250, 300, 350, 400, 450, 500, 550, 600, 650.

Frequency:

- 200 - 250: 2

- 250 - 300: 0 (gap here, which is 225 - 275, so F is correct)

- 300 - 350: 5

- 350 - 400: 8

- 400 - 450: 5

- 450 - 500: 5

- 500 - 550: 13 (cluster here, 475 - 525 is within 500 - 550, so A is correct)

- 550 - 600: 2

- 600 - 650: 2

- 650 - 700: 3 (but 675 is in 650 - 700, but the frequency is 3, not an outlier. The outlier would be 200 - 250, but there's no option for that. So the correct options are A and F? Wait, no, let's check the options again. The options are:

A. There is a cluster between 475 miles and 525 miles. - Correct (high frequency here)

F. There is a gap between 225 miles and 275 miles. - Correct (no bars between 200 - 250 and 300 - 350)

Also, is there an outlier? The bar at 200 - 250 has frequency 2, which is isolated from the main cluster (starts at 300), but the options for outlier are D (325) and C (675). 325 is in 300 - 350 (part of the cluster), 675 is in 650 - 700 (frequency 3, not an outlier). So maybe the correct options are A and F. Wait, but let's check the original problem again.

Wait, the options:

A. Cluster 475 - 525: Correct, as the bar at 500 (475 - 525) is very tall.

F. Gap 225 - 275: Correct, between 200 - 250 and 300 - 350, no bars.

So the correct options are A and F? Wait, no, maybe I missed. Let's see the frequency for 500 - 550 is 13, which is a cluster. The gap is 225 - 275 (no bars). So the correct options are A and F.
# Answer:
A. There is a cluster between 475 miles and 525 miles, F. There is a gap between 225 miles and 275 miles

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