EXAMPLE 1.14 Histogram for Customer Service Center Call Lengths

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Figure 1.7 is a histogram of the lengths of all 31,492 calls. We did not plot the few lengths greater than 1200 seconds (20 minutes). As expected, the graph shows that most calls last between about 1 and 5 minutes, with some lasting much longer when customers have complicated problems. More striking is the fact that 7.6% of all calls are no more than 10 seconds long. It turns out that the bank penalized representatives whose average call length was too long—so some representatives just hung up on customers in order to bring their average length down. Neither the customers nor the bank were happy about this. The bank changed its policy, and later data showed that calls under 10 seconds had almost disappeared.

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Figure 1.7: FIGURE 1.7 The distribution of call lengths for 31,492 calls to a bank’s customer service center, Example 1.14. The data show a surprising number of very short calls. These are mostly due to representatives deliberately hanging up in order to bring down their average call length.