Statistics0312

For this homework assignment, you will consider the complete series of mathematics problems to test your knowledge of measures of central tendency and dispersion. You will complete the below questions from the textbook:

• Chapter 11 Test (p. 215); Questions 2–6

Your full homework should be complete in detail within a Word document with all work used to complete the problem demonstrated in clear detail. All work must be presented to receive full credit, and please label each question. APA is not a requirement for this assignment.

2. A patient’s reaction time to certain stimuli was tested by a psychologist. The times were: 0.53, 0.46, 0.50, 0.49, 0.52, 0.53, 0.44, and 0.55 seconds. Calculate the mean reaction time.

3. Three instructors of medical terminology reported mean grades of 75, 83, and 80. The classes consisted of 32, 25, and 17 students, respectively. Calculate the mean grade for the combined classes.

4. An index is to be computed using the following weighted scores: resting diastolic blood pressure, 3; resting heart rate, 2; serum cholesterol, 1. Weekly readings were taken, and the averages were recorded as: diastolic pressure, 82; heart rate, 62; cholesterol, 164. Calculate the weighted mean.

5. Forty children, under the age of 5 years, were diagnosed with acute lymphoblastic leukemia (ALL) during the past year. The age of each child was recorded (in months) at the time of diagnosis. Listed are the ages from youngest to oldest: 13, 15, 16, 18, 18, 20, 21, 23, 24, 24, 25, 25, 27, 28, 30, 32, 32, 32, 34, 36, 37, 38, 40, 40, 41, 42, 44, 45, 45, 47, 48, 48, 49, 50, 52, 53, 55, 57, 58, 58.

Calculate:

a. Range. b. Mode. c. Median. d. Mean from an ungrouped distribution. e. Mean from a grouped distribution, correct to the nearest whole number, with the lowest interval, 11–15. f. Variance from a grouped distribution, with the lowest interval, 11–15, using the grouped mean correct to the near-est whole number.
g. Standard deviation from a grouped distribution, with the lowest interval, 11–15

6. Thirty patients were tested for systolic blood pressure in a heart study at the local hospital. The readings, in mm of mercury, were as follows:
102 112 116 118 166 138 146 143 157 128 152 136 134 120 118 134 126 118 154 186 134 108 178 110 176 134 130 122 138 116 Calculate:

a. Range. b. Mode. c. Median. d. Mean from an ungrouped distribution. e. Mean from a grouped distribution with the lowest interval, 100–109. f. Variance from the grouped distribution, using the decimal value of the grouped mean, with the lowest interval, 100–109.
g. Standard deviation from the grouped distribution.