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Phosphate levels The level of various substances in the blood influences our health
Chapter 1, Problem 97(choose chapter or problem)
Phosphate levels The level of various substances in the blood influences our health. Here are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on 6 consecutive visits to a clinic: 5.6, 5.2, 4.6, 4.9, 5.7, 6.4. A graph of only 6 observations gives little information, so we proceed to compute the mean and standard deviation.
(a) Find the standard deviation from its definition. That is, find the deviations of each observation from the mean, square the deviations, then obtain the variance and the standard deviation.
(b) Interpret the value of sx you obtained in part (a).
Questions & Answers
QUESTION:
Phosphate levels The level of various substances in the blood influences our health. Here are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on 6 consecutive visits to a clinic: 5.6, 5.2, 4.6, 4.9, 5.7, 6.4. A graph of only 6 observations gives little information, so we proceed to compute the mean and standard deviation.
(a) Find the standard deviation from its definition. That is, find the deviations of each observation from the mean, square the deviations, then obtain the variance and the standard deviation.
(b) Interpret the value of sx you obtained in part (a).
ANSWER:
Step 1 of 3
(a)
The standard deviation measures the typical distance of the values in a distribution from the mean. It is calculated by finding an average of the squared deviations and then taking the square root, ie;
Given observations are: 5.6, 5.2, 4.6, 4.9, 5.7, 6.4.