How many points do teams score in the championship game of a certain sport? The total numbers of points scored by both teams in each of the first 46 championship games are shown below. Complete parts a through e below. 46, 47, 23, 30, 29, 27, 21, 31, 22, 38, 46, 37, 67, 50, 37, 46, 43, 47, 54, 57, 59, 51, 35, 64, 39, 62, 68, 44, 73, 43, 55, 56, 53, 39, 40, 37, 69, 61, 45, 31, 46, 31, 51, 47, 57, 38 a) Find the median. The median is. (Type an integer or a decimal.) b) Find the quartiles. The lower quartile is (Type an integer or a decimal.) The upper quartile is (Type an integer or a decimal.)
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.
![How many points do teams score in the championship game of a certain sport? The total numbers of points scored by both teams in each of the first 46 championship games are shown
below. Complete parts a throughe below.
46, 47, 23, 30, 29, 27, 21, 31, 22, 38, 46, 37, 67, 50, 37, 46, 43, 47, 54, 57, 59, 51, 35, 64, 39, 62, 68, 44, 73, 43, 55, 56, 53, 39, 40, 37, 69, 61, 45, 31, 46, 31, 51, 47, 57, 38 O
c) Are there any outliers? Select the correct choice below and fill in the answer boxes within your choice.
(Type integers or decimals.)
O A. The upper fence is
and the lower fence is
None of the values fall outside these nces, so there are no outliers.
O B. The upper fence is
and the lower fence is
None of the values fall inside these fences, so there are no outliers.
O C. The upper fence is
and the lower fence is
The value(s)
fall inside these fences and so are outliers.
O D. The upper fence is
and the lower fence is
The value(s)
fall outside these fences and so are outliers.
d) Construct a boxplot of the data. Choose the correct graph below.
Click to select your answer(s).
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![How many points do teams score in the championship game of a certain sport? The total numbers of points scored by both teams in each of the first 46 championship games are shown
below. Complete parts a throughe below.
46, 47, 23, 30, 29 , 27, 21, 31, 22, 38, 46, 37, 67, 50, 37, 46, 43, 47, 54, 57, 59, 51, 35, 64, 39, 62, 68, 44, 73, 43, 55, 56, 53, 39, 40, 37, 69, 61, 45, 31, 46, 31, 51, 47, 57, 38 D
a) Find the median.
The median is.
(Type an integer or a decimal.)
b) Find the quartiles.
The lower quartile is.
(Type an integer or a decimal.)
The upper quartile is.
(Type an integer or a decimal.)
Click to select your answer(s).
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