Stats Lab
Normal Distribution (Pinkie Length)
The student will compare empirical data and a theoretical distribution to determine if data from the experiment follow a continuous distribution.
Collect the DataMeasure the length of your pinkie finger, in centimeters.
Randomly survey 30 adults for their pinkie finger lengths. Round the lengths to the nearest 0.5 cm. _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ _______ Table 6.2
Construct a histogram. Make five to six intervals. Sketch the graph using a ruler and pencil. Scale the axes. Figure 6.11
Calculate the following: x ¯ x ¯ = _______ s = _______
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 or 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 ~ _____ (_____, _____)
How does the histogram help you arrive at the approximate distribution?
Describe the Data Using the data you collected complete the following statements. Hint—Order the data.
Remember
(IQR = Q3 – Q1)
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 Using the theoretical distribution, complete the following statements. Use a normal approximation based on the sample mean and standard deviation.
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?
85ਵੇਂ ਪਰਸੈਂਟਾਈਲ ਦਾ ਅਰਥ ਇਹ ਹੈ ਕਿ ਇਹ ਡਾਟਾ ਦੇ 85% ਮੁੱਲਾਂ ਤੋਂ ਵੱਡਾ ਜਾਂ ਬਰਾਬਰ ਹੈ।
ਕੀ ਇਕੱਤਰ ਕੀਤੇ ਗਏ ਡਾਟਾ ਸਿਧਾਂਤਕ ਵੰਡ ਦਾ ਨੇੜੇ ਦਾ ਅਨੁਮਾਨ ਦਿੰਦੇ ਹਨ? ਪੂਰੇ ਵਾਕਾਂ ਵਿੱਚ ਅਤੇ ਡਾਟਾ ਦਾ ਵਰਣਨ ਕਰੋ ਅਤੇ ਸਿਧਾਂਤਕ ਵੰਡ ਦੇ ਸਿਰਲੇਖਾਂ ਵਿੱਚ ਨਤੀਜਿਆਂ ਦੀ ਤੁਲਨਾ ਕਰਕੇ, ਸਮਝਾਓ ਕਿਉਂ ਜਾਂ ਕਿਉਂ ਨਹੀਂ।