Exercise 2. Find the mode for each example below.
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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.
Exercise 2. Find the
(a) The following data represent the number of O-ring failures on the shuttle Columbia for its 17 flights prior to its fatal flight:
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 3
(b) The data of the test scores from above:
82, 77, 90, 71, 62, 68, 74, 84, 94, 88
(c) Hair color of ten people in line:
Brown, Blonde, Red, Brown, Brown,
Blonde, Brown, Blonde, Blonde, Red
Concept and definition:
The mode is the value with the highest frequency, that is, the mode is the value in the data-set which occurs the maximum number of the times.
(a)
In this case, the mode value will be 0, because 0 occurs the maximum number of the times in the given data set.
Mode : 0
Step by step
Solved in 2 steps with 1 images
- The values listed below are waiting times (in minutes) of customers at two different banks. At Bank A, customers enter a single waiting line that feeds three teller windows. At Bank B, customers may enter any one of three different lines that have formed at three teller windows. Answer the following questions. Bank A 6.4 6.6 6.7 6.8 7.1 7.3 7.6 7.9 7.9 7.9 Bank B 4.2 5.4 5.8 6.2 6.7 7.6 7.6 8.5 9.2 10.0 Click the icon to view the table of Chi-Square critical values. Construct a 99% confidence interval for the population standard deviation o at Bank A. min < OBank A min (Round to two decimal places as needed.)The following are average points per game for players on the LA Lakers and Miami Heat during the 2019-2020 season: Lakers (20 values): 0, 1.4, 1.5, 2.8, 4.2, 5.1, 5.3, 5.5, 5.7, 6, 6.6, 7.1, 7.5, 8, 8.6, 9.3, 11.9, 12.8, 25.3, 26.1 Heat (21 values): 0.8, 1, 1.4, 2.4, 3, 3, 4.5, 4.6, 5.7, 6.1, 8.2, 8.5, 9.3, 11.3, 11.9, 13.5, 13.5, 15.3, 15.9, 16.2, 19.9 a) Calculate the five-number summary of each. b) Draw boxplots of each. c) Compare the boxplots – how do they differ?The following data are the score of 24 students in Midterm Examination. If JM is one of these 24 students and got a score of 80, in what percentile does her score belong?
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