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Questions and Answers
What divides the distribution into four equal parts?
What is equivalent to the median value?
What is equivalent to the lower quartile?
Which of the following is NOT equivalent to 25% of the distribution of data?
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What is the middle value in the election results?
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What is the average of the lower and upper quartiles in the election results?
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What is the metabolic age at the 50th percentile?
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What is the metabolic age at the 7th decile?
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What is the metabolic age at the 34th percentile?
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How many teachers have a metabolic age below the 10th percentile?
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If the passing mark is the 3rd quartile in a 200-item test, how many items must a student answer correctly to pass?
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If Jewel got a score of 80, which is equivalent to the 60th percentile rank, what can be inferred?
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What is the meaning of the median of the age of Math teachers in a certain school being 30?
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What percentage of the students are shorter than Lani, who is the 55th tallest student in a group of 100?
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What percentile does Jonjon belong to?
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If the lower quartile of a data set is the 5th value, how many data values are there in the data set?
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What does it mean when Christelle's salary in a company is in the 8th decile?
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What is the purpose of considering the number of calories in an ice cream bar?
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What is true about the first decile of the weight of 300 Grade 10 students in a certain school, which is 50 kg?
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What is the median of the data?
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What is the 77th percentile of the data using linear interpolation?
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What is Jonie's percentile rank if her score in a 50-item test was the median score?
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What is the first quartile (Q1) of the data using linear interpolation?
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What is the percentile rank of 209 calories for vanilla-flavored ice cream bars?
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What is the width of each class interval in the given data?
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What is the lower boundary of the class that contains the 60th percentile?
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How many applicants belong to the 3rd quartile class?
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What is the cumulative frequency used to solve for the 7th decile?
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How many applicants belong to the 26th percentile class?
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What is the qualified height of an applicant to be a flight attendant?
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Study Notes
Measures of Position
- Deciles divide the distribution into ten equal parts.
- Percentiles divide the distribution into hundred equal parts.
- Quartiles divide the distribution into four equal parts.
Quartiles
- The lower quartile (Q1) is the 25th percentile.
- The upper quartile (Q3) is the 75th percentile.
- The median is the 50th percentile or the second quartile (Q2).
Percentiles and Deciles
- The 1st decile is equivalent to the 10th percentile.
- The 3rd decile is equivalent to the 30th percentile.
- The 7th decile is equivalent to the 70th percentile.
- The 1st quartile is equivalent to the 25th percentile.
Interpreting Measures of Position
- If a value is at the 50th percentile, it means that 50% of the data is below that value and 50% is above that value.
- If a value is at the 75th percentile, it means that 75% of the data is below that value and 25% is above that value.
- If a value is at the 25th percentile, it means that 25% of the data is below that value and 75% is above that value.
Calculating Percentiles
- To calculate the pth percentile, first arrange the data in order, then find the value at the p% position.
- If the data is grouped into classes, use linear interpolation to find the percentile.
Problem-Solving Strategies
- To find the median, first find the middle value of the data.
- To find the quartiles, find the median and then find the median of the lower and upper halves of the data.
- To find the deciles, find the median and then find the median of the lower and upper halves of the data repeatedly.
- To find the percentiles, use linear interpolation or find the exact value at the p% position.
Interpreting Data
- The median and other measures of position can be used to compare and describe the distribution of data.
- The median and other measures of position can be used to identify outliers and anomalies in the data.
- The median and other measures of position can be used to make predictions and estimates based on the data.
Applications of Measures of Position
- Measures of position can be used in education to compare student performance and identify strengths and weaknesses.
- Measures of position can be used in business to compare employee performance and identify areas for improvement.
- Measures of position can be used in healthcare to compare patient outcomes and identify trends and patterns.
- Measures of position can be used in sports to compare athlete performance and identify strengths and weaknesses.
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Description
Test your knowledge of statistical measures and data analysis concepts, including deciles, quartiles, and percentiles. Learn to identify and apply these concepts to solve problems.
