Given the data, calculate the mean using an assumed mean of 37. Organize and calculate necessary values using a frequency table.

Here are the calculations for the given data:

First, let's organize the given data and calculate necessary values:

Age Group	Frequency ($f$)	Class Midpoint ($x$)	Cumulative Frequency ($cf$)	Deviation ($d = x - 37$)	$fd$
10-19	6	14.5	6	-22.5	-135
20-29	12	24.5	18	-12.5	-150
30-39	15	34.5	33	-2.5	-37.5
40-49	9	44.5	42	7.5	67.5
50-59	5	54.5	47	17.5	87.5
60-69	2	64.5	49	27.5	55
Total	$\sum f = 49$				$\sum fd = -112.5$

1) Calculate the mean using an assumed mean of 37.

Step 1: Identify the assumed mean ($A$), sum of frequencies ($\sum f$), and sum of $fd$ ($\sum fd$).
Given assumed mean $A = 37$.
From the table, $\sum f = 49$ and $\sum fd = -112.5$.

Step 2: Apply the formula for the mean using an assumed mean.

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