The consultation fee (HK$) of a sample of 10 doctors in Central and Western District is recorded in an ordered array as below: 125, 150, 160, 160, k, 180, 185, 200, 230, 250 (a) It is known that the sample mean consultation fee of the above data is HK$ 181.5, find the value of k. (b) Find the sample standard deviation of the above data. (c) Find the first quartile of the above data. (d) During the Lunar New Year holiday, a 20% additional charge on the consultation fee and anadditional fee of $50 are applied. Find the sample mean and sample standard deviation of the amount of money a patient to pay during the Lunar New Year holiday.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The consultation fee (HK$) of a sample of 10 doctors in Central and Western District is recorded in
an ordered array as below:
125, 150, 160, 160, k, 180, 185, 200, 230, 250
(a) It is known that the sample mean consultation fee of the above data is HK$ 181.5, find the value
of k.
(b) Find the sample standard deviation of the above data.
(c) Find the first
(d) During the Lunar New Year holiday, a 20% additional charge on the consultation fee and anadditional fee of $50 are applied. Find the sample mean and sample standard deviation of the amount of money a patient to pay during the Lunar New Year holiday.
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