What proportion of telephone calls lasted 5 minutes or more?[Fill in the blank]

Question

BlackTom AI · Accepted Answer

We start by restating the data given in the table: the number of calls for each duration in minutes is as follows - 1 min: 12 calls, 2 min: 34 calls, 3 min: 48 calls, 4 min: 60 calls, 5 min: 52 calls, and 6 min: 32 calls. The question asks for the proportion of calls that lasted 5 minutes or more.

First, compute the total number of calls by summing all the counts: 12 + 34 + 48 + 60 + 52 + 32 = 238 calls in total.

Next, identify calls lasting 5 minutes or more. These are the 5-minute calls (52) and the 6-minute calls (32). The combined count for 5 minutes or more is 52 + 32 = 84 calls.

Now, form the proportion: 84 out of the total 238 calls, i.e., 84/238.

Calculate the percentage: (84 ÷ 238) × 100 ≈ 35.29%. This matches option a, which states 35.29%.

Evaluation of other options:
- Option b (21.85%) would correspond to a much smaller portion, which doesn’t align with the 84/238 calculation.
- Option c (13.45%) is even smaller and clearly inconsistent with the computed ratio.
- Option d (84/236) uses a denominator of 236 rather than the actual total of 238; since the total is 238, this fraction would yield a slightly different percentage and is not correct given the data.

In summary, the correct proportion calculated from the table data is 84 out of 238, which equals approximately 35.29%.

What proportion of telephone calls lasted 5 minutes or more?[Fill in the blank]

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