Quiz 10 Review

Calculate the mean, median, and mode for the following inpatient's length of stay. Round to one decimal place. LOS: 4, 5, 3, 1, 2, 5, 5, 6, 1, 2, 18, 3 Mean LOS: ______________ Median LOS: _____________ Mode LOS : ______________ Which LOS would be considered an Outlier? ______________

1. Mean LOS: ______________ Answer: Add all the LOS = 55 / 12 = 4.6 2. Median LOS: _____________ Answer: 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 18 3 + 4 = 7 / 2 = 3.5 3. Mode LOS : ______________ Answer: 5; it appears three times 4. Which LOS would be considered an Outlier? ______________ Answer: 18

Dr. Brown's office tracked the number of upper respiratory infection (URI) patients she saw for eight weeks. The following table lists the number of patients seen each week. What is the median for the following values? Dr. Brown's URI Patients Week 1 20 Week 2 18 Week 3 27 Week 4 17 Week 5 15 Week 6 9 Week 7 9 Week 8 5

5, 9, 9, 15, 17, 18, 20, 27 15 + 17 = 32 / 2 = 16

The office manager at Community Physician's Clinic received a complaint that a patient had to wait a very long time before being called into an exam room. She wants to investigate what the mean and median wait time is at the clinic. She wishes to use the median to determine the wait times. She surveyed the patients in the clinic on one day. (In minutes): 10, 22, 11, 7, 9, 14, 12, 18, 24, 8, 7, 9, 15, 12, 13, 15 What is the mean wait time at the clinic? Round to a whole number.

Add the times = 206/16 = 12.875 = 13 minutes

Dr. Sherman, a new endocrinologist at the Community Physician's Clinic, acquired 10 new diabetic patients during her first month of practice. Their A1C results are listed below. New patients seen by Dr. Sherman September 20XX Patient Number A1C result Patient's weight 1 5.4 154 2 5.6 167 3 6.7 202 4 6.8 219 5 6.2 198 6 11.7 245 7 10.9 256 8 6.5 195 9 7.8 215 10 9.5 222 She would like to offer a weight-loss clinic to the patients who are above the 40th percentile of the results. At which A1C would patients would be invited to attend the weight loss clinic?

Answer: Put the scores in order 5.4, 5.6, 6.2, 6.5, 6.7, 6.8, 7.8, 9.5, 10.9, 11.7 40% × 10 (N) = 0.4 × 10 = 4 Count up to the fourth score = 6.5

The office manager at Community Physician's Clinic received a complaint that a patient had to wait a very long time before being called into an exam room. She wants to investigate what the mean and median wait time is at the clinic. She wishes to use the median to determine the wait times. She surveyed the patients in the clinic on one day. (In minutes): 10, 22, 11, 7, 9, 14, 12, 18, 24, 8, 7, 9, 15, 12, 13, 15 What is the median wait time at the clinic?

Answer: Put the times in order 7, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 18, 22, 24 12 is the median wait time

quartile

Data organized in order of magnitude divided into four equal parts.

___________________ statistics are used to explain data in ways that are manageable and easily understood.

Descriptive statistics

The NICU at Community Hospital tracks the weight of the infants in its care. The values for one day are as follows (round to one decimal place): BABY WEIGHT Baby Girl Turner 4.9 pounds Baby Boy Sandoval 5.6 pounds Baby Boy Byrd 3.0 pounds Baby Boy Dorsey (A) 3.6 pounds Baby Boy Dorsey (B) 3.9 pounds Baby Girl Hicks 2.1 pounds Baby Girl McCoy 2.8 pounds Using the above information what is the range? Expressed as a spread: __________ to ____________ Expressed as a single value: _________________

Expressed as a spread: __________ to ____________ Answer: 2.1 to 5.6 Expressed as a single value: _________________ Answer: 3.5; the difference between the spread

The physical therapy department in Brown Hospital pulled the following sample of patients that received physical therapy for adhesive capsulitis of the shoulder (ICD-10 Diagnosis code M75.0X). The data represents the number of physical therapy hours the patients received before being released. Using the data in the table below, calculate the mean, range, variance, standard deviation, and the median to one decimal place. Patient # of Physical Therapy Days PT days-Mean (X - X-) (PT days-Mean) (X - X-) Patient A 32 -10.9 118.8 Patient B 41 -1.9 3.6 Patient C 25 -17.9 320.4 Patient D 62 19.1 364.8 Patient E 71 28.1 789.6 Patient F 35 -7.9 62.4 Patient G 37 -5.9 34.8 Patient H 53 10.1 102.0 Patient I 44 1.1 1.2 Patient J 29 -13.9 193.2 429 1990.9 What is the mean? What is the range? What is the variance? What is the standard deviation? What is the median?

What is the mean? 429 / 10 = 42.9 What is the range? 25 to 71 = 46 What is the variance? 1990.9 / 10-1 = 221.2 (PT days - Mean) / Number of pts in study - 1 What is the standard deviation? 14.9 square root of 221.2 What is the median? 39 25, 29, 32, 35, 37, 41, 44, 43, 62, 71 (37 + 41) / 2 = 39

There were 16 babies born at Community Hospital during the first week of July. The following represents the weight of each of the babies. 4.6, 5.8, 5.3, 5.5, 6.0, 8.3, 6.7, 7.7, 9.4, 6.3, 7.2, 8.0, 6.8, 5.9, 10.0, 5.7 What weight is found in the 75th percentile? _________ What percentile of newborns weighed over 5.9 lbs?

What weight is found in the 75th percentile? _________ Answer: In order: 4.6, 5.3, 5.5, 5.7, 5.8, 5.9, 6.0, 6.3, 6.7, 6.8, 7.2, 7.7, 8.0, 8.3, 9.4, 10.0 16 (N) × 75% = 12 The 75th percentile is 7.7lbs What percentile of newborns weighed over 5.9 lbs? ________ 62.5% were over 5.9 lbs (6 / 16) × 100 = 37.5th percentile 5.9lbs falls into the 37.5 percentile. 100% - 37.5% = 62.5%

outlier

an extreme value

decile

data divided into 10 equal parts

rank

denotes a score's position in a group relative to other scores organized in order of magnitude