Question

Help me, this is so confusing

Answer 1

The​ mean, median, mode and midrange are 13, 13, 13, 17 respectively.

Define mean, median, mode and midrange.

An average is a mean. To calculate the sum, add together all the numbers. After that, divide the total by the quantity of numbers.

The median is a midpoint. The fact that the median is in the middle of the road makes it easy to recall. Put the numbers in ascending order, lowest to largest. If there are odd numbers, find the middle one. Add the middle two numbers together and divide by two if the numbers are even.

The most frequent number in a group of numbers is called the mode.

The midpoint is discovered by arranging the numbers from smallest to largest. To determine the sum, add the two smallest and greatest numbers together. By 2, divide the total.

Given data -

The following set of​ numbers is 9​, 9​, 10​, 11​, 13​, 13​, 13​, 14​, 25

Σx = 117

To calculate the mean, we use the formula as

Mean = Σx / n

where n is the number of pieces of​ data i.e. n=9

Therefore, Mean = 117 / 9

Mean = 13

To calculate the median, we use the formula as

Median = Value of $(\frac{n+1}{2})^{th}$ th observation

when n is an odd number

So, Median = 10/2

Median = 5

Here the $5^{th}$ observation is 13

As 13 occurs maximum number of times in the given set of numbers and it has 3 times in the given set

Therefore the mode = 13

To calculate the midrange, we use the formula as,

Midrange = (greatest number + least number) / 2

Here the greatest number is 25 and least number is 9

Therefore midrange = (25+9)/2

midrange = 34/2

midrange = 17

The​ mean, median, mode and midrange are 13, 13, 13, 17 respectively.

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