find the mean median and mode of the set of values

age(year) 12 13 14 15 16 17 18
frequency 4 9 16 14 7 7 4
find the mean select the correct choice below and if necessary fill in the box to complete your choice
the mean is approximately __ years round to 2 decimal places

1 answer

To find the mean, we need to calculate the sum of the products of each age and its corresponding frequency, and then divide by the total frequency.

Sum of products = (12*4) + (13*9) + (14*16) + (15*14) + (16*7) + (17*7) + (18*4)
Sum of products = 48 + 117 + 224 + 210 + 112 + 119 + 72
Sum of products = 902

Total frequency = 4 + 9 + 16 + 14 + 7 + 7 + 4
Total frequency = 61

Mean = Sum of products / Total frequency
Mean = 902 / 61
Mean ≈ 14.78 years

Therefore, the mean age is approximately 14.78 years.