Question
Use the image to answer the question.
A histogram is shown. From left to right, the horizontal axis has numbers from 2 to 38 in increments of 4. The vertical axis is labeled Frequency. From bottom to top, the vertical axis has numbers from 3 to 30 in increments of 3.
Which number is the best estimate of the standard deviation for the distribution shown?
(1 point)
Responses
16
16
8
8
4
4
20
A histogram is shown. From left to right, the horizontal axis has numbers from 2 to 38 in increments of 4. The vertical axis is labeled Frequency. From bottom to top, the vertical axis has numbers from 3 to 30 in increments of 3.
Which number is the best estimate of the standard deviation for the distribution shown?
(1 point)
Responses
16
16
8
8
4
4
20
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To estimate the standard deviation from a histogram, one would typically look at the spread of the data around the mean. However, since I cannot see the image or histogram you are referring to, I can give you guidance on how to estimate the standard deviation based on a histogram.
1. **Identify the mean**: Look for the center of the distribution; this will give you a starting point for calculating spread.
2. **Assess the spread**: Look at the width of the histogram bars. A wider spread indicates a larger standard deviation.
3. **Use empirical rules if applicable**: For a normal distribution, about 68% of the data falls within one standard deviation of the mean. If your data looks approximately normal, you may use this as a reference for estimating the standard deviation.
Considering your answer choices, if the histogram shows a moderate spread, then 8 might be reasonable if the data is centered around a number significantly different from the limits seen. If the distribution is very wide, you might consider the max of 16 or 20.
If the data is tightly grouped, then possibly 4 suggests a narrow spread.
Unfortunately, without seeing the histogram or knowing the specific distribution shape, it’s difficult to give a definitive answer. Based on typical histograms, if you see a significant spread, I might choose **8** as a reasonable estimate. But please evaluate it against your histogram to make the best choice.
1. **Identify the mean**: Look for the center of the distribution; this will give you a starting point for calculating spread.
2. **Assess the spread**: Look at the width of the histogram bars. A wider spread indicates a larger standard deviation.
3. **Use empirical rules if applicable**: For a normal distribution, about 68% of the data falls within one standard deviation of the mean. If your data looks approximately normal, you may use this as a reference for estimating the standard deviation.
Considering your answer choices, if the histogram shows a moderate spread, then 8 might be reasonable if the data is centered around a number significantly different from the limits seen. If the distribution is very wide, you might consider the max of 16 or 20.
If the data is tightly grouped, then possibly 4 suggests a narrow spread.
Unfortunately, without seeing the histogram or knowing the specific distribution shape, it’s difficult to give a definitive answer. Based on typical histograms, if you see a significant spread, I might choose **8** as a reasonable estimate. But please evaluate it against your histogram to make the best choice.
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