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Statistics

Statistics deals with collecting, organizing, and interpreting numerical data. An important aspect of statistics is the analysis of population characteristics inferred from sampling.

36,756 Questions

How many 5 digit numbers exist such that the product of their digits is 400?

120.

First factorising 400 gives: 400 = 24 x 52

So the 5 digit number must contain two 5s and the other three digits must multiply together to give 16, namely: 1, 2 & 8; 1, 4 & 4 or 2, 2 & 4

When selecting from 5 digits, they can be arranged in 5! = 5 x 4 x 3 x 2 x 1 = 120 different ways. However, some of the digits are indistinguishable (eg the two 5s can swap places and the number is the same), so when this happens, the total number of ways needs to be divided by the number of ways the indistinguishable numbers can be arranged.

Two digits can be arranged in 2! = 2 x 1 = 2 ways.

So the 5 digit number can contain:

  • 1, 2, 8, 5, 5
There a two indistinguishable digits (the two 5s) and so there are

120 ÷ 2 = 60

possible numbers here

  • 1, 4, 4, 5, 5
There are two pairs of indistinguishable digits (the two 4s and the two 5s), so there are:

(120 ÷ 2) ÷ 2 = 30

possible numbers here

  • 2, 2, 4, 5 ,5
There are two pairs of indistinguishable digits (the two 2s and the two 5s), so there are:

(120 ÷ 2) ÷ 2 = 30

possible numbers here

So the total number of possible numbers is 60 + 30 + 30 = 120.

What is the HCF of14 and 42?

To find the HCF of two numbers you first have to write them as their prime factors:

14 = 2x7

42 = 2x3x7

The next step is to identify any common prime factors. In this case both numbers have a 2 and a 7 as prime factors. Multiply these together and you get:

2x7 = 14

Thus the HCF of 14 and 42 is 14.

What is mean in data handling?

the "mean" is the "average" you're used to, where you add up all the numbers and then divide by the total number of numbers

Where the axes of the coordinate plane intersect?

(10,20)? Im not quite sure. That's what my classmate said.

How do you calculate the mean from the median?

The mean is the sum of the sample, divided by the number of samples. The median is the middle number. Good example of this is your grades. You have a d,c,a,b, c,c. Each grade has a number a d is equal to 1 point, c= 2 points, a= 4 points, and a b=3 points. You add these up and divide by the number 7. To find the median write them in order A,b,ccc,d= the median is a C.

How do find median of a set of numbers?

you like cross 1 number out on each side until you have one nuber left i think in some cases but im not like 100 percent sure about the two number thing i just know that you cross it out out until you get to the middle

What is the mean, median and mode for 428, 472, 510, 386, 440?

Let's approach this step-by-step:

First, let's order these numbers from least to greatest:

386, 428, 440, 472, 510

Mean:

The mean is the average of all numbers.

Sum: 386 + 428 + 440 + 472 + 510 = 2236

Count: 5

Mean = 2236 ÷ 5 = 447.2

Median:

The median is the middle number when the numbers are in order.

With 5 numbers, the median is the 3rd number.

Median = 440

Mode:

The mode is the number that appears most frequently.

In this set, each number appears only once, so there is no mode.

Therefore:

Mean = 447.2

Median = 440

Mode = No mode (or the set is amodal)

What does yujala or yujata mean?

It would be helpful if you told us what language the word is from.

What is the difference between outcome and output?

An output involves a process as in production. It could be in the form of a good or service. On the other hand, an outcome is the result or payoff from the the course of action taken by an individual or player based on his decisions.
Output (one word) is the quantity of stuff that is produced. The outcome is the result of an action. So, the output of the factory is 20 cars an hour, but the outcome of replacing the manager is that the output rises to 25 per hour.