High School

We appreciate your visit to Дан ряд чисел tex 175 172 179 171 174 170 172 169 tex Найдите медиану и размах ряда. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Дан ряд чисел: [tex]175, 172, 179, 171, 174, 170, 172, 169[/tex].

Найдите медиану и размах ряда.

Answer :

Sure! Let's find the median and the range of the given series of numbers: 175, 172, 179, 171, 174, 170, 172, 169.

Step 1: Sort the Numbers

First, we need to arrange the numbers in ascending order:

169, 170, 171, 172, 172, 174, 175, 179

Step 2: Find the Median

The median is the middle number in a sorted list. If the list has an even number of elements, the median is the average of the two middle numbers.

- Our sorted list has 8 numbers, which is an even number.
- The two middle numbers are 172 and 172 (4th and 5th numbers).

To find the median, calculate the average of these two middle numbers:

[tex]\[
\text{Median} = \frac{172 + 172}{2} = \frac{344}{2} = 172.0
\][/tex]

The median of the series is 172.0.

Step 3: Calculate the Range

The range is the difference between the largest and the smallest numbers in the series.

- The smallest number is 169.
- The largest number is 179.

Now, subtract the smallest number from the largest number to find the range:

[tex]\[
\text{Range} = 179 - 169 = 10
\][/tex]

The range of the series is 10.

So, the median is 172.0 and the range is 10.

Thanks for taking the time to read Дан ряд чисел tex 175 172 179 171 174 170 172 169 tex Найдите медиану и размах ряда. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

  • The median of the series is 172.
  • The range of the series is 10.

To find the median and range of the given set of numbers, we will follow these steps:

  1. List of Numbers: We start with the given list of numbers:

    [tex]175, 172, 179, 171, 174, 170, 172, 169[/tex]

  2. Sort the Numbers: We need to sort these numbers in ascending order:

    [tex]169, 170, 171, 172, 172, 174, 175, 179[/tex]

  3. Finding the Median:

    • The median is the middle value of a sorted dataset.
    • If the number of observations (n) is odd, the median is the middle number.
    • If the number of observations is even, the median is the average of the two middle numbers.

    In this case, there are 8 numbers (even), so we find the two middle numbers, which are the 4th and 5th numbers in the sorted list:

    • The 4th number is 172
    • The 5th number is also 172

    Now we calculate the median:

    [tex]\text{Median} = \frac{172 + 172}{2} = \frac{344}{2} = 172[/tex]

    So, the median is 172.

  4. Finding the Range:

    • The range is the difference between the highest and lowest values in the dataset.
    • The highest value (max) is 179 and the lowest value (min) is 169.

    Now we calculate the range:

    [tex]\text{Range} = \text{max} - \text{min} = 179 - 169 = 10[/tex]

    Hence, the range is 10.

The translation of the question is:

Given a series of numbers: [tex]175, 172, 179, 171, 174, 170, 172, 169[/tex].

Find the median and range of the series.