Question

Find median and mode 3, 11,7,9,2,5,9,2,10

Answer 1

Answer:

median=3+11+7+9+2+5+9+2+10/9=6.444444

mode=9

Step-by-step explanation:

median=x/n

mode is repeated numbers

Answer 2

Answer:

The answer is -

Mode = 2 and 9

Median = 7

Step-by-step explanation:

To find the median and the mode of 3,11,7,9,2,5,9,2,10

Follow the formulas of median and mode

MEDIAN

As, first to find median we arrange the data in ascending or descending order

We know that median of the data :-

When there is even number of observations we do certain operations to derive the terms or positions, so that we can calculate the median of the data

($\frac{n}{2}$) and (

And,

When there is odd number of observations we do certain operations to find the median of the data

($\frac{n + 1}{2}$)

WHERE n = Number of observations

So,

There are total 9 [ODD] observations, in 3,11,7,9,2,5,9,2,10

Arrange the data in ascending order = 2,2,3,5,7,9,9,10,11

So,

When there is odd number of observations, we do -

= ($\frac{n + 1}{2}$)

= ($\frac{9 + 1}{2}$)

= ($\frac{10}{5}$)

= $5^{th}$ position

So,

2,2,3,5,7,9,9,10,11

$5^{th}$ position in the data = 7

Median = $5^{th}$ position

             = 7

MODE

As we know that mode of any data = A number which has the highest frequency

So,

2,2,3,5,7,9,9,10,11

The number in the data which has highest frequency is :-

2 and 9 [Mode]

SO THE MODE OF THE DATA GIVEN IN THE QUESTION ARE 2 AND 9

AND,

MEDIAN OF THE DATA GIVEN IN THE QUESTION IS 7

HOPE THE ANSWER WILL BE A GREAT PATH OF LEARNING, FRIENDLY MATE

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