Question

Найдите моду, диапазон, медиану и среднее арифметическое следующих данных 84,81,88,84,92,86,84,85,85,84

Answer 1

Ответ:

Мода: 84

Диапазон: 11

Медиана: 84.5

Среднее арифметическое: 85.3

Пошаговое объяснение:

1) Сначала проще их записать в порядке возрастания:

81, 84, 84, 84, 84, 85, 85, 86, 88, 92

2) Мода - значение которое встречается наиболее часто.

84

3) Диапазон - это разница между наименьшим и наибольшим числами.

92 - 81 = 11

4) Медиана - число, стоящее посередине упорядоченного по возрастанию ряда чисел

(84 + 85) / 2 = 84.5

5) Среднее арифметическое - среднее значение. Определяется как число, равное сумме всех чисел множества, делённой на их количество.

(81 + 84 + 84 + 84 + 84 + 85 +  85 + 86 + 88 +92) / 10 = 853 / 10 = 85.3

Answer 2

Finding the Module, Range, Median, and Mean

To find the module, range, median, and mean of the given data: 84, 81, 88, 84, 92, 86, 84, 85, 85, 84, we can follow these steps:

1. Module: The module refers to the value that appears most frequently in the dataset. In this case, the number 84 appears most frequently, occurring 4 times. Therefore, the module is 84.

2. Range: The range is the difference between the highest and lowest values in the dataset. To find the range, we need to sort the data in ascending order: 81, 84, 84, 84, 85, 85, 86, 88, 92. The highest value is 92, and the lowest value is 81. Therefore, the range is 92 - 81 = 11.

3. Median: The median is the middle value in a dataset when it is arranged in ascending order. To find the median, we need to sort the data: 81, 84, 84, 84, 85, 85, 86, 88, 92. Since the dataset has an odd number of values (10 in this case), the median is the value in the middle position, which is the 5th value. Therefore, the median is 85.

4. Mean: The mean, also known as the average, is calculated by summing up all the values in the dataset and dividing by the total number of values. In this case, the sum of the values is 84 + 81 + 88 + 84 + 92 + 86 + 84 + 85 + 85 + 84 = 853. Dividing this sum by the total number of values (10), we get the mean as 853 / 10 = 85.3.

Therefore, the module is 84, the range is 11, the median is 85, and the mean is 85.3.