Question

find the mean, median, and mode of the set of values.

age (years)	frequency
14	10
15	17
16	11
17	7
18	4
19	3

find the mean. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
the mean is approximately \\(\square\\) years. (round to two decimal places as needed.)

Explanation:

Step1: Calculate total sum of (Age × Frequency)

For each age, multiply by its frequency:

• \( 13 \times 7 = 91 \)
• \( 14 \times 10 = 140 \)
• \( 15 \times 17 = 255 \)
• \( 16 \times 11 = 176 \)
• \( 17 \times 7 = 119 \)
• \( 18 \times 4 = 72 \)
• \( 19 \times 3 = 57 \)

Sum these products: \( 91 + 140 + 255 + 176 + 119 + 72 + 57 = 910 \)

Step2: Calculate total frequency

Sum all frequencies: \( 7 + 10 + 17 + 11 + 7 + 4 + 3 = 59 \)

Step3: Compute the mean

Mean = \( \frac{\text{Total (Age×Frequency)}}{\text{Total Frequency}} = \frac{910}{59} \approx 15.42 \)

Answer:

15.42