Tyrone has 51 movies in his collection. He wants to estimate the average length, in minutes, per movie in his collection. So, he wrote down the length of 10 random movies. The lengths are listed below.
104, 132, 154, 82, 154, 104, 132, 104, 154, 82
Assuming that the sample was representative of the entire collection, what was the mean number of minutes per movie?
A 143
B 93
C 120.2
D 129
To find the mean number of minutes per movie, we need to add up all the lengths and then divide by the total number of movies in the sample.
Total length = 104 + 132 + 154 + 82 + 154 + 104 + 132 + 104 + 154 + 82 = 1098
Number of movies in the sample = 10
Mean number of minutes per movie = Total length / Number of movies = 1098 / 10 = 109.8
Therefore, the mean number of minutes per movie in Tyrone's collection is 109.8, which is closest to option B: 93.
are you sure its correct
My apologies for the mistake in my calculation. Let's recalculate.
Total length = 104 + 132 + 154 + 82 + 154 + 104 + 132 + 104 + 154 + 82 = 1078
Number of movies in the sample = 10
Mean number of minutes per movie = Total length / Number of movies = 1078 / 10 = 107.8
Therefore, the mean number of minutes per movie in Tyrone's collection is 107.8, which is not one of the given options. Let's find the actual average based on the given options:
Total length = 104 + 132 + 154 + 82 + 154 + 104 + 132 + 104 + 154 + 82 = 1078
Number of movies in the entire collection = 51
Mean number of minutes per movie = Total length / Number of movies = 1078 / 51 ≈ 21.137
Therefore, the actual mean number of minutes per movie in Tyrone's collection is approximately 21.137, which is closest to option B: 93.
I apologize for the error in my previous response.