伊莎写下了五个数字。这些数字的平均数是 13.2，中位数是 12，众数是 7。最大的数字是最小数字的三倍。按升序求出这五个数字。

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完整解法

1. Use the mean to find the total of the five numbers.

Mean $=13.2$

Total of the five numbers:
$13.2 \times 5 = 66$

2. Use the median, mode, and largest-smallest relationship to find the numbers.

Since the numbers are in ascending order and the median is $12$ , the middle number is $12$ .

Since the mode is $7$ , the number $7$ must appear twice before $12$ :
$7,\ 7,\ 12,\ d,\ e$

The smallest number is $7$ , so the largest number is
$3 \times 7 = 21$

So
$7+7+12+d+21=66$
$47+d=66$
$d=19$

Hence the five numbers are
$7,\ 7,\ 12,\ 19,\ 21$

答案

$7,\ 7,\ 12,\ 19,\ 21$

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