Quartiles Quest: Ungrouped Data

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Quiz on quartiles for raw data sets.

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Nayume Ku

Philippines

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Froggy Jumps Quartiles Quest: Ungrouped DataOnline version Quiz on quartiles for raw data sets. by Nayume Ku 1 What is the definition of the first quartile (Q1) in ungrouped data? a Q1 is the value below which 25% of the data fall b Q1 is the median of the data c Q1 is the maximum value in the data 2 How is the median used to find Q3 in a data set? a Q3 is the median of the upper half of the data b Q3 is the minimum value in the data c Q3 is always equal to the mean 3 Which summary is formed by Q1, median, and Q3? a The geometric mean b The interquartile range only c The five-number summary (with min and max) 4 What does the interquartile range (IQR) measure? a Spread between min and max b Spread between Q1 and Q3 c Average distance from the mean 5 In a sorted data set of 20 values, where would Q1 lie? a At the 15th value exactly b Around the 5th value (or between 5th and 6th) c At the 10th value exactly 6 What is the standard method to compute Q2 in ungrouped data? a Q2 is the median of the entire data set b Q2 is the value of the maximum c Q2 is the mean of the data 7 If a data set has a large IQR, what does that imply? a Data are tightly clustered around the mean b All data are equal c Greater variability in the middle 50% of data 8 Which value is NOT part of the five-number summary? a Maximum b Minimum c Sample mean 9 How many data points are typically used to estimate Q1 and Q3 precisely in small samples? a Exactly 5 points each b Same data points used for quartiles; no fixed rule c Exactly 25 points each 10 What happens to quartiles if data are sorted and a new extreme value is added? a Only Q3 changes, others stay fixed b Q1, median, Q3 may shift; overall spread can change c Quartiles never change with new data

Froggy Jumps

Quartiles Quest: Ungrouped DataOnline version

Quiz on quartiles for raw data sets.

by Nayume Ku

What is the definition of the first quartile (Q1) in ungrouped data?

Q1 is the value below which 25% of the data fall

Q1 is the median of the data

Q1 is the maximum value in the data

How is the median used to find Q3 in a data set?

Q3 is the median of the upper half of the data

Q3 is the minimum value in the data

Q3 is always equal to the mean

Which summary is formed by Q1, median, and Q3?

The geometric mean

The interquartile range only

The five-number summary (with min and max)

What does the interquartile range (IQR) measure?

Spread between min and max

Spread between Q1 and Q3

Average distance from the mean

In a sorted data set of 20 values, where would Q1 lie?

At the 15th value exactly

Around the 5th value (or between 5th and 6th)

At the 10th value exactly

What is the standard method to compute Q2 in ungrouped data?

Q2 is the median of the entire data set

Q2 is the value of the maximum

Q2 is the mean of the data

If a data set has a large IQR, what does that imply?

Data are tightly clustered around the mean

All data are equal

Greater variability in the middle 50% of data

Which value is NOT part of the five-number summary?

Maximum

Minimum

Sample mean

How many data points are typically used to estimate Q1 and Q3 precisely in small samples?

Exactly 5 points each

Same data points used for quartiles; no fixed rule

Exactly 25 points each

What happens to quartiles if data are sorted and a new extreme value is added?

Only Q3 changes, others stay fixed

Q1, median, Q3 may shift; overall spread can change

Quartiles never change with new data

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Quartiles Quest: Ungrouped Data

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Quartiles Quest: Ungrouped DataOnline version

by Nayume Ku

What is the definition of the first quartile (Q1) in ungrouped data?

How is the median used to find Q3 in a data set?

Which summary is formed by Q1, median, and Q3?

What does the interquartile range (IQR) measure?

In a sorted data set of 20 values, where would Q1 lie?

What is the standard method to compute Q2 in ungrouped data?

If a data set has a large IQR, what does that imply?

Which value is NOT part of the five-number summary?

How many data points are typically used to estimate Q1 and Q3 precisely in small samples?

What happens to quartiles if data are sorted and a new extreme value is added?

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