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which could be a conditional relative frequency table? first table: | |…

Question

which could be a conditional relative frequency table?

first table:

abtotal
d0.250.250.50
total0.500.501.0

second table:

abtotal
d0.350.651.0
total0.300.701.0

third table (partial):

abtotal
d0.250.750.50

Explanation:

Step1: Recall conditional frequency rules

A conditional relative frequency table has either:

  1. Row totals equal to 1.0 (conditioning on row categories), or
  2. Column totals equal to 1.0 (conditioning on column categories)

Step2: Analyze first table

Row totals = 0.50, column totals = 0.50. This is a joint relative frequency table, not conditional.

Step3: Analyze second table

Row totals for C and D are both 1.0. This fits the definition of a conditional relative frequency table (conditioning on rows C and D, showing relative frequencies of A/B within each row).

Step4: Analyze third table

Row totals = 0.50, column totals are not 1.0. This is not a conditional relative frequency table.

Answer:

The second table (with row totals of 1.0 for C and D):

ABTotal
D0.350.651.0
Total0.300.701.0