统统 and 唯独: all of it, without exception / the sole exception
【高14】【高15】副词 / adverbs (范围)
Tone colorsā tone 1á tone 2ǎ tone 3à tone 4a neutral
统统 ("all of it, the whole lot, without exception") reinforces 都: 时间、地点、人物、事件，她统统不记得. It goes after the subject, before the verb, and takes up a set already given, often an object fronted or introduced by 把: 把这些旧东西统统丢掉. The tone is emphatic and colloquial, frequent with a negative or a verb of disposal: 我们不得不承认这些材料统统没有价值.
唯独 ("only, the sole exception") picks out the single exception from a general statement: 全班同学都在认真听讲，唯独他在睡觉; 他什么都不在乎，唯独受不了家人的不理解. The first part states the general case (often with 都), the second names the one who stands out, whose behaviour goes the opposite way.
The two pair up well: 这些大雁统统按时飞走了，唯独那一只留在了湖边. Difference from 都 (hsk1-g14): 都 says "all" without stress, 统统 stresses that there is no exception, and 唯独 points to the one that does not fit the whole.
Examples
时间、地点、人物、事件，她统统不记得。
Shíjiān, dìdiǎn, rénwù, shìjiàn, tā tǒngtǒng bú jìde.Time, place, people, events: she remembers none of it.
我们不得不承认，这些材料统统没有价值。
Wǒmen bùdébù chéngrèn, zhèxiē cáiliào tǒngtǒng méiyǒu jiàzhí.We have to admit that none of these materials has any value.
搬家以前，我把那些用不着的旧东西统统丢掉了。
Bānjiā yǐqián, wǒ bǎ nàxiē yòng bu zháo de jiù dōngxi tǒngtǒng diūdiào le.Before moving house, I threw out all the old things I no longer needed, every last one.
全班同学都在认真听讲，唯独他在睡觉。
Quán bān tóngxué dōu zài rènzhēn tīngjiǎng, wéidú tā zài shuìjiào.The whole class is listening attentively; only he is asleep.
他什么都不在乎，唯独受不了家人的不理解。
Tā shénme dōu bú zàihu, wéidú shòu bu liǎo jiārén de bù lǐjiě.He doesn't care about anything, the one exception being that he can't stand his family not understanding him.
这些大雁统统按时飞走了，唯独那一只留在了湖边。
Zhèxiē dàyàn tǒngtǒng ànshí fēi zǒu le, wéidú nà yì zhī liú zài le húbiān.All of these geese left on time; only that one stayed behind by the lake.
Common mistakes
✗ 统统我们去了。 → ✓ 我们统统去了。 (统统 goes after the subject, before the verb).
✗ 唯独他也没来。 → ✓ 唯独他没来。 (no 也 after 唯独: the exception is unique).