**QUESTION:**

**ANSWER:**

**EXPLANATION:**

STEP 1: We create a two-way table for the above Venn diagram, based on which the total number of people who received cold medicine was 27+ 23 = 50. Those whose cold lasted longer than 7 days is 23 + 20 = 43. The people who did not participate in any group - or those whose cold did not last longer than 7 days. Those who did not receive cold medicine is 30. Those who received cold medicine and whose cold lasted longer than 7 days is 23. The total number of participants were 100.

STEP 3: Fill in the remaining values.

The total number of people whose cold did not last longer than 7 days is 100 - 43 = 57.

The number of people whose cold did not last longer than 7 days and who received cold medicine is 57 - 30 = 27.

The number of people whose cold lasted longer than 7 days and who did not receive cold medicine is 43 - 23 = 20.

The total number of people who did not receive cold medicine is 20 + 30 = 50.

The above table is the two way frequency table which displays the data in counts.