Question 1: The number of different types of cookies baked in a week are grouped as follows: 0-2, 3-5, 6-8, 9-11, 12-14. The counts are 4, 9, 15, 7, and 5 respectively. Calculate the modal class for this data.

Answer: 6-8

Question 2: Using the grouped data from the previous question, what is the approximate mode value, assuming the class interval width is 3?

Answer: 7

Question 3: In a recipe collection, the number of times each recipe was made in a month are grouped as: 0-2, 3-5, 6-8, 9-11, 12-14, with counts 2, 8, 12, 5, 3. Find the modal class.

Answer: 6-8

Question 4: A cook records the number of times a certain ingredient is used in a week: 0-1, 2-3, 4-5, 6-7, 8-9. The counts are 3, 10, 14, 6, and 2. Calculate the mode class.

Answer: 4-5

Question 5: In a bakery, the number of bread loaves baked each day are grouped as: 0-10, 11-20, 21-30, 31-40, 41-50. The counts are 5, 12, 20, 8, and 3. What is the modal class?

Answer: 21-30

Question 6: Explain why the modal class is important in understanding the most popular recipe or ingredient in a cooking data set.

Answer: The modal class identifies the interval with the highest frequency, showing which recipe or ingredient is most popular among the data, helping chefs and bakers focus on favored items.

Question 7: A recipe book records the number of times recipes are cooked per month: grouped as 0-3, 4-6, 7-9, 10-12. Counts are 3, 7, 10, 5. Find the modal class and interpret its meaning in terms of recipe popularity.

Answer: 7-9; most recipes are cooked 7-9 times per month

Question 8: A chef notes the number of times a special dish is ordered each week: 0-2, 3-5, 6-8, 9-11, 12-14 with counts 2, 14, 9, 3, 2. Determine the modal class and describe what it indicates about customer preferences.

Answer: 3-5; most customers order the dish 3-5 times weekly

Question 9: Construct a frequency table for the following data on the number of times students tried a new recipe in a month: 0-2, 3-5, 6-8, 9-11. Counts: 5, 12, 8, 3.

Answer: see table: 0-2:5, 3-5:12, 6-8:8, 9-11:3

Question 10: Given the frequency data: 0-3 (4), 4-7 (9), 8-11 (13), 12-15 (6), find the approximate mode and explain its significance in recipe popularity.

Answer: 8-11; most recipes are cooked 8-11 times

Question 11: Identify and correct the common mistake: A student claims the modal class is always the class with the highest midpoint. Explain when this is true or false in the context of grouped data.

Answer: False; the modal class is the one with the highest frequency, not necessarily the midpoint.