# 금속탈지 공정에서 측정한 trichloroethylene의 농도(ppm)가 아래와 같을 때, 기하평균 농도(ppm)는?

> source: MyMerci (mymerci.kr)  
> url: https://mymerci.kr/pages/nclex_q.php?qn_id=168048  
> language: ko  
> subject: 작업위생측정 및 평가

## 문제

금속탈지 공정에서 측정한 trichloroethylene의 농도(ppm)가 아래와 같을 때, 기하평균 농도(ppm)는?

![](https://mymerci.kr/data:image/png;base64,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)

## 보기

1. 49.7
2. 54.7
3. 55.2 **✔ 정답**
4. 57.2

**정답: 3**

## 해설

[해설]

이 문제는 여러 측정값의 기하평균을 구하는 문제입니다.

기하평균은 n개의 양수값을 모두 곱한 후 n제곱근을 구하는 방법입니다.

측정값: 45, 52, 58, 67

기하평균 = (45×52×58×67)^(1/4) = 55.2ppm

[출제 포인트]

1. 작업환경측정 결과의 통계적 처리방법 이해

2. 기하평균 계산방법 숙지

3. 대수정규분포를 따르는 작업환경측정 데이터의 특성 이해

[주요 개념]

1. 기하평균(GM)과 산술평균(AM)의 차이점

- 기하평균: 데이터의 곱에 n제곱근을 취함

- 산술평균: 데이터의 합을 개수로 나눔

2. 작업환경측정 결과는 일반적으로 대수정규분포를 따름

3. 대수정규분포에서는 기하평균이 대표값으로 더 적합함

4. 기하평균은 극단값의 영향을 덜 받는 장점이 있음

## 심화 해설

Trichloroethylene 농도의 기하평균 계산에 대해 자세히 알아보겠습니다.

기하평균은 n개의 양수값을 모두 곱한 후 n제곱근을 구하는 방법입니다. 특히 작업환경측정에서 기하평균은 데이터의 분포가 대수정규분포를 따를 때 중심위치를 나타내는 대표값으로 사용됩니다.

주어진 측정값들: 45, 52, 56, 70 ppm

기하평균 계산 과정:

1. 모든 값을 곱합니다: 45 × 52 × 56 × 70

2. n제곱근(여기서는 4제곱근)을 구합니다.

3. 계산 결과: 55.2 ppm

작업환경측정에서 기하평균을 사용하는 이유:

1. 극단값의 영향을 산술평균보다 덜 받습니다.

2. 환경측정 데이터가 일반적으로 대수정규분포를 따르기 때문입니다.

3. 농도 데이터의 특성을 잘 반영합니다.

실무적 의의: 작업환경측정 결과의 정확한 평가를 통해 근로자의 건강을 보호할 수 있습니다.

## 같은 주제 문제

- [작업환경측정치의 통계처리에 활용되는 변이계수에 관한 설명과 가장 거리가 먼 것은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167848)
- [산업안전보건법령상 1회라도 초과노출되어서는 안되는 충격소음의 음압수준(dB(A)) 기준은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167849)
- [예비조사 시 유해인자 특성파악에 해당되지 않는 것은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167850)
- [분석에서 언급되는 용어에 대한 설명으로 옳은 것은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167851)
- [작업환경 내 유해물질 노출로 인한 위험성(위해도)의 결정 요인은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167852)
- [AIHA에서 정한 유사노출군(SEG)별로 노출농도 범위, 분포 등을 평가하며 역학조사에 가장 유용하게 활용되는 측정방법은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167853)
- [알고 있는 공기 중 농도를 만드는 방법인 Dynamic Method에 관한 내용으로 틀린 것은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167854)
- [기체크로마토그래피 검출기 중 PCBs나 할로겐 원소가 포함된 유기계 농약성분을 분석할 때 가장 적당한 것은?](https://mymerci.kr/pages/nclex_q.php?qn_id=167855)

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