NORMAL DISTRI BUTION (PINKIE LENGTH) Class Time: Names: STUDENT LEARNING OUTCOMES The student will compare empirical data and a theoretical distribution to determine if data from the experiment follow a continuous distribution. COLLECT THE DATA Measure the length of your pinkie finger, in centimeters. 1. Randomly survey 30 adults for their pinkie finger lengths. Round the lengths to the nearest 0.5 cm. Table 6.2 2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes Length of fingen Figure 6.11 3. Calculate the following: . . b. s 4. Draw a smooth curve through the top of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. Keep it simple. Does the graph go straight across, does it have a V-shape, does it have a hump in the middle e at either end, and so on? ANALYZE THE DISTRIBUTION Using your sample mean, sample standard deviation, and histogram, what was the approximate theoretical distribution of the data you collected? X- L How does the histogram help you arrive at the approximate distribution? DATA Using the data you collected complete the following statements. Hint-Order the data. Remember (IQR Q-Q) IQR= The 15th percentile is The 85th percentile is Median is What is the theoretical probability that a randomly chosen pinkie length is more than 6.5 cm? Explain the meaning of the 85th percentile of these data. THEORETICAL DISTRIBUTION
NORMAL DISTRI BUTION (PINKIE LENGTH) Class Time: Names: STUDENT LEARNING OUTCOMES The student will compare empirical data and a theoretical distribution to determine if data from the experiment follow a continuous distribution. COLLECT THE DATA Measure the length of your pinkie finger, in centimeters. 1. Randomly survey 30 adults for their pinkie finger lengths. Round the lengths to the nearest 0.5 cm. Table 6.2 2. Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes Length of fingen Figure 6.11 3. Calculate the following: . . b. s 4. Draw a smooth curve through the top of the bars of the histogram. Write one to two complete sentences to describe the general shape of the curve. Keep it simple. Does the graph go straight across, does it have a V-shape, does it have a hump in the middle e at either end, and so on? ANALYZE THE DISTRIBUTION Using your sample mean, sample standard deviation, and histogram, what was the approximate theoretical distribution of the data you collected? X- L How does the histogram help you arrive at the approximate distribution? DATA Using the data you collected complete the following statements. Hint-Order the data. Remember (IQR Q-Q) IQR= The 15th percentile is The 85th percentile is Median is What is the theoretical probability that a randomly chosen pinkie length is more than 6.5 cm? Explain the meaning of the 85th percentile of these data. THEORETICAL DISTRIBUTION
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 18PPS
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