What is the formula to calculate the p-th percentile in grouped data?

Understanding Percentiles in Data

Quiz
•
Mathematics
•
10th Grade
•
Hard
Erwin Tindoc
FREE Resource
8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
P = L - ((F - (N * (p/100))) / f) * c
P = F + ((N * (p/100) + L) / c) * f
P = L + ((N * (p/100) - F) / f) * c
P = L + ((F * (p/100) - N) / f) * c
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given a frequency distribution, how do you determine the cumulative frequency?
Cumulative frequency is calculated by subtracting each frequency from the total frequency.
Cumulative frequency is determined by multiplying each frequency by its class midpoint.
Cumulative frequency is the total of all frequencies divided by the number of classes.
Cumulative frequency is calculated by adding each frequency to the sum of the previous frequencies.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the 25th percentile of a dataset is 15, what does this indicate about the data?
75% of the data points are less than 15.
25% of the data points are less than or equal to 15.
The median of the dataset is 15.
25% of the data points are greater than or equal to 15.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the percentile rank of a specific value in a grouped frequency table?
Calculate the mean of the grouped data to find the percentile rank.
Use the highest frequency value to determine the percentile rank.
Add the values in the table and divide by the number of groups.
Use the cumulative frequency and the total number of observations to calculate the percentile rank.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculate the 50th percentile (median) for the following data: 2, 4, 6, 8, 10, 12, 14, 16.
10
9
7
11
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a grouped frequency distribution, how do you handle classes with unequal widths when calculating percentiles?
Use the midpoint of each class to calculate percentiles directly.
Ignore the class widths and treat all classes as equal.
Calculate percentiles based solely on the highest frequency class.
Calculate cumulative frequencies and use relative frequencies to adjust for class widths.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a dataset has 100 values, what position corresponds to the 90th percentile?
100
80
95
91
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Explain how to interpret the 75th percentile in the context of a test score distribution.
The 75th percentile is the score above which 75% of the scores fall.
In a test score distribution, the 75th percentile is the score below which 75% of the scores fall.
The 75th percentile indicates the highest score achieved in the test.
The 75th percentile is the average score of all test takers.
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