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.

A taxi company operates in two different regions, and it is analyzing the prices of rides in those regions. It has compiled the prices (in dollars) of 101 rides in each of the two regions during the last week. The histograms below show the distributions of the two data sets. Each histogram shows price (in dollars) on the horizontal axis and the number of taxi rides on the vertical axis. The means and standard deviations for the data sets are also given. Region A 25- 20+ 15+ 10+ 5+ 1₂ 0.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5 50.5 Region A mean: $25.28 Region A standard deviation: $7.95 25 Expl 20- 15+ 10+ neck 5+ 0A 0.5 5.5 5.5 10.5 15.5 20.5 25.5 30.5 35.5 40.5 45.5 50.5 (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) data set. The company wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on…

For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles:         (c)  Suppose the relative frequency distribution for the data is bell-shaped, then what percentage of days                    between 325 and  425 vehicles used the intersection ?

find the sample variance for the following data set  using xi  and (xi^2) 20.2,  21.8,   17.6   ,  21.6  ,  19.5  ,  19.8   ,  18.6

The serum cholesterol levels (in 244, 235, 249, 237, 228, 220, 201, 259, 191, 198, 240, 196, 222, 252, 203, 211, 215, 254 Send data to calculator (a) mg th Find 30 and 75th percentiles for these cholesterol levels. (b) dL (If necessary, consult a list of formulas.) The 30th percentile: -) of 18 individuals are The 75th percentile: mg dL mg dL