2. Below is the data for infant mortality for 34 OECD countries. The Organizatio
ID: 3050068 • Letter: 2
Question
2. Below is the data for infant mortality for 34 OECD countries. The Organization for Economic Co-operation and Development (OECD) is an international economic organization of 34 countries, founded in 1961 to stimulate economic progress and world trade. It is a forum of countries describing themselves as committed to democracy and the market economy, providing a platform to compare policy experiences, seeking answers to common problems, identify good practices and coordinate domestic and international policies of its members. OECD's web site provided some data on infant mortality for 34 countries. Infant mortality (the rate of death of children under 1 year of age per 1,000 live births) is a measure of development. » The Histogram and the Stem and Leaf Plot for this data is given below. Use the stem and leaf values for some calculations, such as the min and max. For other calculations, the Sum of (x) is 128.2 and the Sum of (x') is 664.42 The two outliers are Turkey (10.2) and Mexico (13.0). Stem and Leatf Stem Leaf Count 13 0 12 10 2 5 001 4 0458 3 13555667 2 0034455568999 13 11377 0 10 12 14 4 3 13 represents 1.3 a. Calculate the: Mean= 37.71 Median = 32 Mode 25, 29, 35 Maximum 130 Minimum 13 Range = J Variance = 548.58 Standard Deviation 23.42 Coefficient of Variation =.62 b. What is the position of the median value for this data? Because n -13, so the position is the 7th positions c. Does the mode make sense as a measure of Central Tendency for this data? > d. Calculate a z-score for an infant mortality rate of rate of 13.Explanation / Answer
SolutioNA
given data is
130,102,70,50,50,51,40,44,45,48,31,33,35,35,35,36,36,37,20,20,23,24,24,25,25,25,26,28,29,29,29,13,17,17
sort the data
13 17 17 20 20 23 24 24 25 25 25 26 28 29 29 29
31 33 35 35 35 36 36 37 40 44 45 48 50 50 51 70
102 130
Range=highest-lowest
=130-13
=117
Solutionb:
median=11th +12 th item
=31+33/2/
=32
position 1s 11and 12 when data arranged in ascending order
Solutionc:
yes since it the frequcny
25,29,35 repeats 3 times in data
mode=25,29,35
SOlutiond:
z score
Z=x-mean/sd
mean=37.71
standard deviation=23.42
Z=13-37.71/23.42
=-24.71/23.42
=- 1.055081
it is 1.055081 deviations above mean
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