Multiple choice

Within the set X, which encompasses 15 positive integers, only 14 are specified: 59, 62, 55, 58, 63, 54, 57, 60, 51, 50, 52, 66, 68, and 49. If the average of the complete set of 15 integers is 58, what is the value of the missing integer in the data set?

  1. 68

  2. 66

  3. 64

  4. 62

  5. 60
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B Correct answer
Explanation

The sum of 15 integers with an average of 58 is 15 * 58 = 870. The sum of the 14 given integers is 59+62+55+58+63+54+57+60+51+50+52+66+68+49 = 804. The missing integer is 870 - 804 = 66.

AI explanation

Using the basic average formula, the total sum of all 15 integers equals the average multiplied by the count, which is 58 multiplied by 15, giving 870. Adding the 14 specified integers gives a sum of 804. Subtracting this partial sum from the expected total sum yields the missing integer: 870 minus 804 equals 66.

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