hat is a percentile and how do we plot them on box and whisker plots?

Q: The value of the test statistic is

A:

Q: Is the sample median always equal to one of the values in the sample? If so, explain why. If not,…

A: Median: The median defines that the middle number of the data. The median is calculated as follows:…

Q: The owner of a super market recorded the number of customers who came into his store each hour in a…

A: Arranging the data in ascending order 2, 5, 6, 6, 7, 8, 9, 11, 11, 14   To Find: Q1, Q2, Q3, Q4

Q: What is the mode of data? What is the range of data?

A: Given that Frequency data of time taken to complete laps in minutes. In this freq. data 5th no. of…

Q: Explain how can we find the corresponding z-score of an area and a percentile.

A:

Q: what is the median of the data?

A: Given data 32 , 45 , 47 , 28 , 47 , 53 , 30 , 38

Q: How do we find the corresponding z-score of an area and a percentile?

A:

Q: find 2nd percentile for given data 12,15,6,3,7,9,8,4,14,19,18,16,13,15,14,12,15,5

A:

Q: Find the percentile rank of students obtaining the scores:

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Q: How do you find the percentile?

A: Percentile :  A percentile is a term used in statistics to express how a score compares to other…

Q: How the squared curvilinear correlation, η2, reflects the proportion of variance?

A: In analysis of variance, either for regression model or for design, if the proportion of variance is…

Q: How do you find the controlled effect and the partial effect of a relationship in statistics?

A: Relationship between any two variables can be dependent on presence of another variable it is known…

Q: What kind of test is used to solve the test statistic value for the population proportion?

A: We want to tell you what kind of statistic and test are used for population proportion.

Q: find 3rd percentile for given data 12,13,20,16,5,4,6,9,7,14,16,18,19,16,25,15,14,5

A:

Q: What is Percentile Rank of an Observation?

A: Percentiles: If the elements in the data set are arranged in ascending order of magnitude, then the…

Q: how does the sample and population relate?

A: Sample and population both are different items, but both are related with each other. Population is…

Q: What is the z-score corresponding to the 74th percentile

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: How do you find the average, spread, and outliers for quantitative data set?

A: The most frequently used measure to find average for quantitative data set is mean, median and mode.…

Q: what is the z score for the 44th percentile

A: Obtain the z score for the 44th percentile. The z score for the 44th percentile is obtained below as…

Q: What are some limitations of the experience sampling methond? How do the data this method provides…

A: The limitations of experience sampling method and how its data compares with that of self-report…

Q: Why are t statistics more variable than z -scores?

A: t-statistics uses sample variance instead of population variance.   t statistics has both s and x̅.

Q: The first quartile of the data values 45, 48, 31, 48, 50, 30  equals ?

A: Arranging the data into ascending order: 30, 31, 45, 48, 48, 50

Q: What is the value of the sample correlation r?

A: It is given that Regression line : y = -3.05 + 0.10x Number of observations n = 13 Number of…

Q: The percentile gives an indication of the relative position of the scores. True or False?

A: Partition values are the values which divide the series into a number of equal parts.  * Three…

Q: How will a high outlier in a data set affect the mean and median?

A: There is the effect of an outlier on the median value.

Q: How do the sample mean and the population mean differ? What is the symbol for each type of mean?

A: Here we have to define  How do the sample mean and the population mean differ? and  What is the…

Q: For his statistics assignment, Johnson examined differences in quality of grades obtained by…

A: Johnson examined differences in quality of grades obtained by students on the regular program of a…

Q: In a paired samples t test, explain the logic of difference scores (why do you need to find them to…

A: PAIRED T-TEST: The paired t test is also defined as dependent- t test.  This test is used to test…

Q: What is the 75th Percentile of a data set when the Inter Quartile Range (IQR) is 12.5 and the first…

A:

Q: The 25th and 75th percentile points

A: Given Data is :

Q: In spss, what test can you do to compare the score of variables?

A: As per the question we have to compare the score of variables if we have 2 independent samples, we…

Q: What is the 25th percentile of a χ2 distribution with 20 degrees of freedom? What symbol is used to…

A: It is an important part of statistics. It is widely used.

Q: What is the difference between a score/category’s frequency and its relative frequency (proportion)?

A:

Q: how to get percentage scores between the mean and the z score

A: I am taking an example to explain this Suppose mean weight of students is 100 kg and Standard…

Q: What well-being score represents the 45 percentile? *

A: It is given that the mean is 100 and the standard deviation is 20.

Q: How do you find sample variance and population variance?

A: Sample Variance:      The variance is calculated using the sample data as given the sample variance.…

Q: You collect information on a random sample of women and obtain estimates on vitamin D exposure.…

A: The variability shows the difference between the sample data from the population data. For example,…

Q: How to find the relative and percent error in this data?

A: From the given data the equation is of linear type in the form of a line equation Y = a+bX The line…

Q: Explain the major difference between an experiment and an observation.

A: In an experiment, the researcher manipulates every aspect for deriving a conclusion. In…

Q: What is the relationship of population, sampling, sample, and inference in statistics?

A: Statistics is a field of study which involves collecting, arranging, analyzing, and drawing…

Q: Describe a real-world example in which one measure of central tendency provides useful information…

A: Let us consider a dataset representing the total money drawn for 10 days- Since there is an outlier…

Q: find 3rd percentile for given data 12,13,15,46,18,75,6,35,62,42,39,12,15,

A: Given data: Let , x = 12,13,15,46,18,75,6,35,62,42,39,12,15, To find: 3rd percentile

Q: The mode, mean, median are all highly affected by outliers? True or false?

A: The study is about mode, mean and median.

Q: How can I describe and differentiate the properties of the decile, quartile, and percentile?

A: Decile, quartile and percentiles are the partition values.

Q: Explain the relation between a population and a sample. What characteristics should a sample have to…

A: A sample is basically a subset of population that is used in the research. For example if your…

Q: Explain what it means that a sample must be representative of the population.

A: It is an important part of statistics. It is widely used.

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.