Question

find the median and mode of a given data: 15,14,20,18,16,20,12,20,17,21,13.​

Answer 1

Answer:

The median is 17.

Step-by-step explanation:

Given-

15,14,20,18,16,20,12,20,17,21,13.​

To find-

The median

Solution-

The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median.

Now arrange data in increasing order we get

$12,13,14,15,16,17,18,20,20,20,21$

As, there are 11 numbers

So, The number which is at 6th place in new order from both the ends is the median.

∴ The median is 17.

Answer 2

Median of the data is 17 and Mode of the data is 20. for the data 15,14,20,18,16,20,12,20,17,21,13.​

Given:

• Data

• 15,14,20,18,16,20,12,20,17,21,13

To Find:

• Median
• Mode

Solution:

• Median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.
• The mode is the value in a set of data that has the most occurrences.
• The mode is not unique and a data set may have multiple modes or no mode.

Step 1:

Arrange the data in order

12 , 13 , 14 , 15 , 16 , 17 , 18 , 20 , 20 , 20 ,  21  

Step 2:

There are 11 data points hence middle data point is 6th one which is 17

Hence 17 is the Median

Step 3:

All data points are only once except 20 which is three times.

Hence Mode is 20

Median of the data is 17 and Mode of the data is 20.