Understanding Median Calculation for Grouped Data

This video tutorial explains how to calculate the median of grouped data. It begins with an introduction to the data table, detailing the grade intervals, frequency, and cumulative frequency columns. The tutorial then guides viewers through identifying the median class and calculating the median using the lower boundary, cumulative frequency, and interval size. The video concludes with a verification of the calculated median and offers additional resources for further statistical formulas.

What does the first column in the table represent?

• Total frequency

• Frequency of intervals

• Grade intervals

• Cumulative frequency

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CCSS.6.SP.B.5C

Which term in the median formula represents the total frequency?

• N

• H

• C

• L

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

How do you determine the median class?

• By identifying the interval containing the middle term

• By choosing the interval with the lowest frequency

• By selecting the interval with the smallest range

• By finding the interval with the highest frequency

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What is the lower boundary of the median class if the interval is 69 to 70?

• 70.5

• 69

• 70

• 69.5

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What is the width of the interval if the boundaries are 69.5 and 79.5?

• 10

• 9

• 11

• 8

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What is the frequency of the median class in this example?

• 8

• 6

• 9

• 7

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CCSS.6.SP.B.5C

What is the final calculated median value?

• 75.5

• 74.5

• 76.5

• 77.5

What is the cumulative frequency of the class preceding the median class?

• 14

• 19

• 23

• 31

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CCSS.HSN.CN.B.6

What is the midpoint between 69 and 70?

• 70.0

• 70.5

• 69.5

• 69.0

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CCSS.6.SP.B.5A

What is the purpose of the formula sheet mentioned in the video?

• To give a summary of the video

• To list all the questions asked in the video

• To offer more statistics formulas

• To provide additional practice problems

Tags

CCSS.6.SP.B.5A