Calculate Mean , Median and Mode for the following data. 

To calculate the Mean, Median, and Mode for the given data, we'll follow these steps:

### 1. Calculate the Mean

To find the mean of grouped data, we use the formula:

\[ \text{Mean} = \frac{\sum (f_i \cdot x_i)}{\sum f_i} \]

where \( f_i \) is the frequency of each class interval and \( x_i \) is the midpoint of each class interval.

Step-by-Step Calculation:

1. Determine the midpoints ( \( x_i \) ) of each class interval:

   \[
   \text{Midpoint of } 10-14 = \frac{10 + 14}{2} = 12
   \]
   \[
   \text{Midpoint of } 15-19 = \frac{15 + 19}{2} = 17
   \]
   \[
   \text{Midpoint of } 20-24 = \frac{20 + 24}{2} = 22
   \]
   \[
   \text{Midpoint of } 25-29 = \frac{25 + 29}{2} = 27
   \]
   \[
   \text{Midpoint of } 30-34 = \frac{30 + 34}{2} = 32
   \]
   \[
   \text{Midpoint of } 35-39 = \frac{35 + 39}{2} = 37
   \]
   \[
   \text{Midpoint of } 40-45 = \frac{40 + 45}{2} = 42.5
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