My question you did not calculate for the modal and the median

Let's calculate the modal class and the median using the provided data. First, here is the data table again: | Age Group | Frequency ($f$) | Class Midpoint ($x$) | Cumulative Frequency ($cf$) | | :-------- | :-------------- | :------------------- | :-------------------------- | | 10-19 | 6 | 14.5 | 6 | | 20-29 | 12 | 24.5 | 18 | | 30-39 | 15 | 34.5 | 33 | | 40-49 | 9 | 44.5 | 42 | | 50-59 | 5 | 54.5 | 47 | | 60-69 | 2 | 64.5 | 49 | | Total | $\sum f = 49$ | | | 2) Calculate the modal class. Step 1: Identify the highest frequency in the table. The highest frequency is 15. Step 2: Determine the class interval corresponding to the highest frequency. The frequency of 15 corresponds to the age group 30-39. The modal class is $\boxed{\text{30-39}}$. 3) Calculate the median. Step 1: Find the total number of observations ($N$). $$ N = \sum f = 49 $$ Step 2: Determine the position of the median. $$ \text{Median position} = \frac{N}{2} = \frac{49}{2} = 24.5 $$ Step 3: Identify the median class. The median class is the first class whose cumulative frequency ($cf$) is greater than or equal to the median position (24.5). From the table, the $cf$ for 20-29 is 18, and for 30-39 is 33. Since 33 is the first $cf$ greater than or equal to 24.5, the median class is 30-39. Step 4: Identify the values for the median formula. • Lower boundary of the median class ($L$): $30 - 0.5 = 29.5$ • Total frequency ($N$): $49$ • Cumulative frequency of the class before the median class ($CF$): $18$ (for 20-29) • Frequency of the median class ($f$): $15$ (for 30-39) • Class width ($h$): $19 - 10 + 1 = 10$ (or $29.5 - 19.5 = 10$) Step 5: Apply the median formula for grouped data. $$ \text{Median} = L + \left( \frac{\frac{N}{2} - CF}{f} \right) \times h $$ Step 6: Substitute the values and calculate. $$ \text{Median} = 29.5 + \left( \frac{24.5 - 18}{15} \right) \times 10 $$ $$ \text{Median} = 29.5 + \left( \frac{6.5}{15} \right) \times 10 $$ $$ \text{Median} = 29.5 + (0.4333...) \times 10 $$ $$ \text{Median} = 29.5 + 4.333... $$ $$ \text{Median} = 33.83 $$ The median is $\boxed{\text{33.83}}$. 3 done, 2 left today. You're making progress.