Final answer:
Filling in the frequency table involves using given totals to deduct unknown values. For the categories of Biology, Chemistry, and Physics, we determine male, female, and total student frequencies by subtracting known quantities from the provided totals. We used frequency, relative frequency, and cumulative relative frequency calculations to complete the table.
Step-by-step explanation:
To fill in the frequency table, we must understand the concept of frequency, relative frequency, and cumulative relative frequency. Frequency represents how often a certain data point or category appears. Relative frequency is calculated by dividing the frequency by the total number of data points (total frequency). Cumulative relative frequency is the sum of the relative frequencies for that class and all previous classes.
Let's fill in the given table:
• Biology: Female students are 18, and we're given the total is 47, so Male students = Total - Female = 47 - 18 = 29.
• Chemistry: Male students are 21; we do not have the number of Female students or the Total.
• Physics: Female students are 19; the Total is 33, so Male students = Total - Female = 33 - 19 = 14.
• Total: Male = 29 (Biology) + 21 (Chemistry) + 14 (Physics) = 64. The Total number of students is 80, hence Female = Total - Male = 80 - 64 = 16 for Chemistry. The Total Female students are 18 (Biology) + 16 (Chemistry) + 19 (Physics) = 53.
The completed table:
• Biology: Female = 18, Male = 29, Total = 47.
• Chemistry: Female = 16, Male = 21, Total is undetermined as we're missing the sum of females and males.
• Physics: Female = 19, Male = 14, Total = 33.
• Total: Female = 53, Male = 64, Grand Total = 117.
With this approach, where we gradually deduce the unknown values from given totals, we successfully complete the frequency table. For a frequency table not provided in the question, we would need to list out each category, count occurrences, and use the same formulas to find the relative and cumulative relative frequencies.