Find the mean, median, and mode of the set of values Age (years)14 15 161718 20 19 Frequency7 912 17104 Find the mean Select the correct choice below and, necessary, in the answer box to complete your choice The mean is approximately years Round to two decimal places as needed)
To find the mean, we need to calculate the sum of the products of each value and its frequency, and then divide by the total frequency:
Mean = (14*7 + 15*9 + 16*12 + 17*18 + 18*20 + 19*17 + 20*4) / (7 + 9 + 12 + 18 + 20 + 17 + 4)
Mean = 989 / 87
Mean ≈ 11.35
Therefore, the correct choice is:
The mean is approximately 11.35 years.
To find the mean of a set of values, we need to multiply each value by its frequency, then add up all the results and divide by the sum of the frequencies.
Let's perform the calculations step by step:
14 x 7 = 98
15 x 9 = 135
16 x 12 = 192
17 x 17 = 289
18 x 10 = 180
19 x 4 = 76
20 x 4 = 80
Now, add up all the results:
98 + 135 + 192 + 289 + 180 + 76 + 80 = 1050
Next, add up the frequencies:
7 + 9 + 12 + 17 + 10 + 4 + 4 = 63
Finally, divide the sum of the results by the sum of the frequencies:
1050 / 63 = 16.67 (rounded to two decimal places)
Therefore, the mean of the set of values is approximately 16.67 years.