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Консультация № 184858
19.12.2011, 16:54
51.94 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: В школе работает 100 учителей, больше половины которых уже достигли возраста 50 лет. Какие из следующих утверждений справедливы для их возрастов: а) Медиана этого ряда больше 50; б) Мода больше 50; в) Среднее арифметическое больше 50. Ответ обоснуйте. Заранее благодарен. Я думаю, что верно только a), но как обосновать?
Обсуждение
19.12.2011, 17:15
общий
это ответ
Здравствуйте, Тимофеев Алексей Валентинович!
а - верно
Медиана - это возраст, который делит учителей на две равные по количеству группы, то есть по 50 чел. Понятно, что в "старшую группу" попадут не все учителя старше 50 лет, так как их больше 50-ти, а значит деление на группы будет по возрасту больше 50 лет.
б - неверно
Мода - это возраст, который повторяется самое большое количество раз. Можно навести пример, который опровергает утверждение б):
49 учителей возрастом 49 лет, 11 учителей по 51 году и 40 по 52 года. Мода в таком случае 49<50.
в - неверно
Опять таки, контрпример: 49 30-летних и 51 51-летний. Средний возраст немногим более 40 лет.
а - верно
Медиана - это возраст, который делит учителей на две равные по количеству группы, то есть по 50 чел. Понятно, что в "старшую группу" попадут не все учителя старше 50 лет, так как их больше 50-ти, а значит деление на группы будет по возрасту больше 50 лет.
б - неверно
Мода - это возраст, который повторяется самое большое количество раз. Можно навести пример, который опровергает утверждение б):
49 учителей возрастом 49 лет, 11 учителей по 51 году и 40 по 52 года. Мода в таком случае 49<50.
в - неверно
Опять таки, контрпример: 49 30-летних и 51 51-летний. Средний возраст немногим более 40 лет.
5
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