Consider a photon-counting experiment that yields the set of 100 values given in 100vals.txt Download 100vals.txt .

1. 1. Find the mean and standard deviation for this set of values.
   2. Count the number of trials that fall within 1SD and 2SD from the mean.
   3. Do these data follow Poisson counting statistics?
   4. Suppose each value in the table is obtained with a gate time of 10 sec. State the counting rate determined from this set of data in a single sentence with proper format.
   5. Suppose the "known rate" for this source is R₀ = 10.5 sec^-1. Does your experiment "agree" with this value?

103 97 98 85 104 89 113 95 106 83 98 82 93 100 98 104 109 100 117 77 105 105 97 121 92 97 104 87 107 105 89 95 91 103 88 120 96 104 101 113 124 84 111 79 107 94 87 80 113 107 104 108 98 92

112 101 103 91 101 91 89 98 113 113 96 77 114 113 96 105 100 105 110 90 117 102 101 96 98 102 109 100 98 98 88 82 97 104 78 107 104 109 108 105 124 98 108 102 113 103