Question

Для службы на подводной лодке отбирают призывников, с ростом не более 165. Есть 4 группы призывников, про которые известно следующее: 1. в первой группе средний рост равен162 2. во второй группе максимальный рост равен 169 3.в третьей группе минимальный рост равен 158 4. в четвертой группе медиана ряда роста равна 163. В какой из групп половина призывников заведомо годна к службе?

Answer 1

В четвертой группе, так как медианой ряда роста будет тот человек, который, если выстроить по росту всех людей в группе по порядку, то он окажется посередине. Так как его рост равен 163, то половина, которая ниже его ростом заведомо годна к службе. Ну а если четное число людей, то сумма двоих, поделенная пополам будет равна медиане роста. Здесь также число 163 означает, что хотя бы один из них ниже 165 см. Значит половина будет годна к службе.

Answer 2

Determining the Eligible Group for Submarine Service

To determine which group of conscripts is eligible for submarine service based on the given information, we need to analyze the height requirements and compare them with the average, maximum, minimum, and median heights of each group.

Let's break down the information provided:

1. First group: Average height = 162 cm. 2. Second group: Maximum height = 169 cm. 3. Third group: Minimum height = 158 cm. 4. Fourth group: Median height = 163 cm.

To find the group in which half of the conscripts are definitely eligible for submarine service, we need to consider the height requirements. According to the information given, the maximum height for submarine service is 165 cm.

Based on this information, we can make the following observations:

- The average height of the first group (162 cm) is below the maximum height requirement of 165 cm, so at least half of the conscripts in the first group are eligible for submarine service. - The maximum height of the second group (169 cm) exceeds the maximum height requirement of 165 cm, so not all conscripts in the second group are eligible for submarine service. - The minimum height of the third group (158 cm) is below the maximum height requirement of 165 cm, so at least half of the conscripts in the third group are eligible for submarine service. - The median height of the fourth group (163 cm) is below the maximum height requirement of 165 cm, so at least half of the conscripts in the fourth group are eligible for submarine service.

Based on the above analysis, we can conclude that at least half of the conscripts in the first, third, and fourth groups are definitely eligible for submarine service. However, we cannot determine the eligibility of conscripts in the second group without additional information.

Please note that the above analysis is based on the information provided and assumes that height is the only criterion for determining eligibility for submarine service. Other factors, such as physical fitness and medical conditions, may also be considered in the actual selection process.

I hope this helps! Let me know if you have any further questions.