1. The problem is to find the mean (average) of the given list of numbers. 2. The formula for the mean of a set of numbers $x_1, x_2, \ldots, x_n$ is: $$\text{Mean} = \frac{\sum_{i=1}^n x_i}{n}$$ where $\sum$ denotes the sum of all numbers and $n$ is the total count of numbers. 3. First, count the total number of values given. 4. Then, sum all the values. 5. Finally, divide the sum by the total count to get the mean. 6. Counting the numbers, there are $n=150$ values. 7. Summing all the values: $$56+49+34+43+66+34+52+52+49+52+38+38+39+67+68+64+69+46+37+60+56+65+40+42+42+61+64+72+42+38+33+24+43+70+52+33+63+31+67+41+67+51+63+59+52+37+42+63+69+49+52+29+43+35+31+47+35+44+40+31+71+44+48+25+49+55+45+39+45+43+39+61+57+72+55+66+45+27+31+59+71+39+28+26+55+30+39+52+47+35+61+47+47+50+40+31+44+60+49+74+26+72+39+72+44+36+71+27+53+31+41+54+62+58+50+38+46+50+52+48+64+47+48+64+45+51+43+55+37+38+56+52+59+62+44+49+53+44+52+32+26+64+42+61+49+32+45+40+43+71+34+50+65+74+50+49+40+44+55+62+59+63+58+33+43+43+74+44+55+48+43+41+32+37+34+40+53+37+48+63+51+36+59+46+64+59+27+52+46+52+32+59+39+33+39+59+42+44+39+46+44+45+41+38+34+45+40+33+37+60+39+62+68+47+42+22+38+52+51+33+43+39+72+55+35+36+35+33+58+54+59+71+54+41+29+28+29+25+34+29+31 = 7413$$ 8. Calculate the mean: $$\text{Mean} = \frac{7413}{150} = 49.42$$ 9. Therefore, the mean of the given numbers is approximately $49.42$.