The frequency distribution shows the blood glucose levels (in milligrams per deciliter) for 50 patients at a medical centre. Blood Glucose Level Frequency, f 60 - 64 2 65 - 69 70 - 74 75 - 79 1 5 12 80 - 84 18 85 - 89 6. 5 90 - 94 95 - 99 1 Given that Exfi = 4030 and Exf; = 327,420 (a) Calculate the mean of the blood glucose level and its standard deviation. (b) The patients with glucose level exceeding 87 mg/dl will be admitted in the hospital. What is the percentage of the patients who will be admitted in the hospital? (c) Use Chebyshev's Theorem to obtain an interval of the blood glucose levels of at least 75% of the patients at a medical facility. r10 markel
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Questions 1
The frequency distribution shows the blood glucose levels (in milligrams per deciliter) for
50 patients at a medical centre.
Blood Glucose Level
Frequency, fi
60 - 64
2
65 - 69
70 - 74
75 - 79
80 - 84
85 - 89
1
12
18
90 - 94
95 - 99
1
Given that Exfi = 4030 and Exfi = 327,420
i=l
(а)
Calculate the mean of the blood glucose level and its standard deviation.
(b)
The patients with glucose level exceeding 87 mg/dl will be admitted in the
hospital. What is the percentage of the patients who will be admitted in the
hospital?
Use Chebyshev's Theorem to obtain an interval of the blood glucose levels of at
least 75% of the patients at a medical facility.
(c)
[10 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa92ef2e-7e39-4560-a2d8-04adf9daa388%2F44eb5aca-3bad-466e-bf87-f2e67550476b%2F53o6p2j_processed.jpeg&w=3840&q=75)
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