Question

how many students took the survey? venn diagram with sections: 13, 2, 3, 4, 7, 8, 10, 6 (and labels like ski, ice skate, snowboard)

Explanation:

Step1: Identify all regions

We have three circles (let's assume they represent different activities: Ski, Ice Skate, Snowboard) and a region outside all circles (6). The regions inside the circles are: Ski only (13), Ski and Ice Skate only (2), all three (3), Ski and Snowboard only (8), Ice Skate only (7), Ice Skate and Snowboard only (4), Snowboard only (10), and outside (6).

Step2: Sum all regions

Sum each distinct region: \(13 + 2 + 3 + 8 + 7 + 4 + 10 + 6\)

Step3: Calculate the sum

First, add step by step:
\(13 + 2 = 15\)
\(15 + 3 = 18\)
\(18 + 8 = 26\)
\(26 + 7 = 33\)
\(33 + 4 = 37\)
\(37 + 10 = 47\)
\(47 + 6 = 53\)

Answer:

53