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

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

Solution

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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