Question

Find median of frequency distribution table step wise ​

Answer 1

Read here :-toppr.com/guides/maths/statistics/median/

Watch This:-youtube.com/watch?v=2_sdgFJxb_U

Answer 2

$\mathfrak{\large{\underline{\underline{Answer \: :}}}}$

† Follow these Steps -

★ Score ⠀⠀⠀⠀ Frequency

5⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 2

6 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 3

7 ⠀⠀⠀⠀⠀⠀⠀⠀⠀ 2

8 ⠀⠀⠀⠀⠀⠀⠀⠀⠀ 2

9 ⠀⠀⠀⠀⠀⠀⠀⠀ 1

10 ⠀⠀⠀⠀⠀⠀⠀⠀ 1

1] Make sure the entries in the Score column are in numerical order.

2] Add another column onto the table, labelled Cumulative Frequency.

For each row of the table, add the entries in the Frequency column up to that row.

★ Score Frequency Cumulative Freq.

5 ⠀⠀⠀⠀ 2 ⠀⠀⠀⠀ ⠀⠀⠀⠀ 2

6 ⠀⠀⠀⠀ 3 ⠀⠀⠀⠀ 2+3=5

7 ⠀⠀⠀⠀ 2 ⠀⠀⠀⠀ 2+3+2=7

8 ⠀⠀⠀⠀ 2 ⠀⠀⠀⠀ 2+3+2+2=9

9 ⠀⠀⠀⠀ 1 ⠀⠀⠀⠀ 2+3+2+2+1=10

10 ⠀⠀⠀⠀ 1 ⠀⠀ 2+3+2+2+1+1=11

3] Find the entry in the bottom row of the Cumulative Frequency column. In this example, it is 11. (Check: You should get the same result if you add up the numbers in the Frequency column).

Find the middle number of this number. (See Finding the Middle Number in the Top Tip).

In this example, there are 11 numbers, so the middle number is the 6th.

• The median of the test scores is 7.

$\mathscr\pink{Thanks \: !!}$