What do you call the data in the middle of the data set when it is arranged in ascending or descending order?

The Mean of a Data Set

The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data.

Example 1 :

Find the mean of the set { 2 , 5 , 5 , 6 , 8 , 8 , 9 , 11 } .

There are 8 numbers in the set. Add them all, and then divide by 8 .

2 + 5 + 5 + 6 + 8 + 8 + 9 + 11 8 = 54 8 = 6.75

So, the mean is 6.75 .

The Median of a Data Set

The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) -- or, if there are an even number of data, the median is the average of the middle two numbers.

Example 1 :

Find the median of the set { 2 , 5 , 8 , 11 , 16 , 21 , 30 } .

There are 7 numbers in the set, and they are arranged in ascending order.  The middle number (the 4 th one in the list) is 11 .  So, the median is 11 .

Example 2 :

Find the median of the set { 3 , 10 , 36 , 255 , 79 , 24 , 5 , 8 } .

First, arrange the numbers in ascending order.

{ 3 , 5 , 8 , 10 , 24 , 36 , 79 , 255 }

There are 8 numbers in the set -- an even number. So, find the average of the middle two numbers, 10 and 24 .

10 + 24 2 = 34 2 = 17

So, the median is 17 .

The Mode of a Data Set

The mode of a set of numbers is the number which occurs most often.

Example 1 :

Find the mode of the set { 2 , 3 , 5 , 5 , 7 , 9 , 9 , 9 , 10 , 12 } .

2 , 3 , 7 , 10 and 12 each occur once.

5 occurs twice and 9 occurs three times.

So, 9 is the mode.

Example 2 :

Find the mode of the set { 2 , 5 , 5 , 6 , 8 , 8 , 9 , 11 } .

In this case, there are two modes -- 5 and 8 both occur twice, whereas the other numbers only occur once.

What do you call the data in the middle of the data set when it is arranged in ascending or descending order?

You may have heard the terms descending and ascending order before, but what do they actually mean?

This article explains in plain English the basic differences between those two terms and gives an analogy that may help you distinguish one from the other.

When a series of data is arranged from high to low or largest to smallest, it means it is arranged is descending order, also known as decreasing order.

This could apply to any group of information such as numbers, dates, sizes of objects, or letters – the same principles apply to whatever you're dealing with.

For example, ordering a set of numbers from greatest to smallest value means that you're arranging them in descending order.

Say you have the following numbers: 49, 80, 56, 11, 20.

Sorting them in descending order would look like this: 80, 56, 49, 20, 11.

You always start first with the largest number on the left and end with the smallest one on the right. In this example, 80 is the largest and 11 is the smallest. The numbers in between are also in order from largest to smallest.

The numbers keep on decreasing, with each number being smaller than the previous number in the line.

The same goes for the letters of the alphabet. When arranging them in descending order, you'd write them out from Z to A (so, backwards). Think of this one from end to beginning.

The same goes for dates when you're putting things in chronological order – they're arranged from the latest and most recent one to the oldest one.

Think of it like going down (or descending) a set of stairs - when you do so you start from a high place and end up at a lower one. You start up at the top and want to go down.

What do you call the data in the middle of the data set when it is arranged in ascending or descending order?

So, in a nutshell, descending order is the arrangement of items from highest to lowest.

What is ascending order?

Ascending order is the complete opposite of descending order - it is also known as increasing order of importance.

Items are arranged from lowest to highest value. The order starts with the smallest value coming first and ends with the biggest value.

So, taking the numbers from the previous section :49, 80, 56, 11, 20, and arranging them in ascending order would look like this: 11, 20, 49, 56, 80.

The smallest number always comes first, in this case it's 11, and the last one is always the greatest one, which is 80 in the example above.

Same rules apply for the letters of the alphabet. When arranging them in ascending order they are arranged from A to Z – or beginning to end.

When it comes to dates, ascending order would mean that the oldest ones come first and the most recent ones last.

Think of the staircase example again.

When you go up (or ascend) a set of stairs, you start from somewhere low and you end up at place much higher than the one you began with.

What do you call the data in the middle of the data set when it is arranged in ascending or descending order?

In summary, ascending order is the arrangement of items from lowest to highest.

Thanks for reading!



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What do you call the middle number in a data set when arrange either in ascending or descending order?

The median is the middle value in distribution when the values are arranged in ascending or descending order. The median divides the distribution in half (there are 50% of observations on either side of the median value).

What do you call the middle number in a data set when arranged either in ascending or descending order * 1 point a range B mean C median D mode?

The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) -- or, if there are an even number of data, the median is the average of the middle two numbers. Example 1 : Find the median of the set {2,5,8,11,16,21,30} .

What is the data in ascending or descending order?

Answer: In general terms, Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A. Ascending order means the smallest or first or earliest in the order will appear at the top of the list: For numbers or amounts, the sort is smallest to largest.

What is the middle of a set of data called?

The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values. The mode of a data set is the value that occurs most often.