Questions: I can determine when a data set warrants a normal distribution. I can determine the mean and standard deviation of a data set and fit it to a normal distribution. I can estimate population percentages based on mean, standard deviation, and distribution. I can estimate the areas under the normal curve using calculators, spreadsheets, and tables. The histogram gives data about a random sample of 15 babies born at a hospital and measures their length in inches. The mean is 20 and the standard deviation is 1.5. Use this information to answer questions 3-6. 3. What is the shape of the data distribution shown by the histogram? (Lesson 22.2) (1/2 point) A. Normal B. Skewed left C. Skewed right 4. The interval of babies' length within 1 standard deviation of the mean is 18.5<x<21.5. According to the graph, how many of the babies have a length within this range of inches? (Lesson 22.2) (1 point) A. 3 babies B. 7 babies C. 10 babies D. 14 babies 5. Determine the percent of the data that are within 1 standard deviation of the mean. (Lesson 22.2) (1 point) A. 20% B. 47% C. 67% D. 94% 6. Suppose one of the babies is chosen at random. Which fraction shows the probability that the baby has a length more than 1 standard deviation above the mean? (Lesson 22.2) (1 point) A. 1/15 B. 1/5 C. 2/5

I can determine when a data set warrants a normal distribution. I can determine the mean and standard deviation of a data set and fit it to a normal distribution. I can estimate population percentages based on mean, standard deviation, and distribution. I can estimate the areas under the normal curve using calculators, spreadsheets, and tables.
The histogram gives data about a random sample of 15 babies born at a hospital and measures their length in inches. The mean is 20 and the standard deviation is 1.5. Use this information to answer questions 3-6.
3. What is the shape of the data distribution shown by the histogram? (Lesson 22.2) (1/2 point)
A. Normal
B. Skewed left
C. Skewed right
4. The interval of babies' length within 1 standard deviation of the mean is 18.5<x<21.5.
According to the graph, how many of the babies have a length within this range of inches? (Lesson 22.2) (1 point)
A. 3 babies
B. 7 babies
C. 10 babies
D. 14 babies
5. Determine the percent of the data that are within 1 standard deviation of the mean. (Lesson 22.2) (1 point)
A. 20%
B. 47%
C. 67%
D. 94%
6. Suppose one of the babies is chosen at random. Which fraction shows the probability that the baby has a length more than 1 standard deviation above the mean? (Lesson 22.2) (1 point)
A. 1/15
B. 1/5
C. 2/5
Transcript text: I can determine when a data set warrants a normal distribution. I can determine the mean and standard deviation of a data set and fit it to a normal distribution. I can estimate population percentages based on mean, standard deviation, and distribution. I can estimate the areas under the normal curve using calculators, spreadsheets, and tables. The histogram gives data about a random sample of 15 babies born at a hospital and measures their length in inches. The mean is 20 and the standard deviation is 1.5. Use this information to answer questions $3-6$. 3. What is the shape of the data distribution shown by the histogram? (Lesson 22.2) $(1 / 2$ point) A. Normal B. Skewed left C. Skewed right 4. The interval of babies' length within 1 standard deviation of the mean is $18.5
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Solution

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Solution Steps

Step 1: Determine the shape of the data distribution
  • The histogram shows the distribution of baby lengths.
  • The distribution appears to be symmetric around the mean.

Final Answer

  • The shape of the data distribution shown by the histogram is A. Normal.
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