Question

x=10
(8) Find the mode of following distribution of marks
obtained by students in an examination.
Marks obtained 0-20 20-40 40-60 60-80 80-100
| No of aludents 15 | 18 | 21 | 29 | 17​

Answer 1

Answer:

ANSWER IS ATTACHMENT

Step-by-step explanation:

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PLEASE GIVE THANK YOU FOR MY EFFORTS AND YOU LIKE MY ANSWER PLEASE GIVE ITS RATE

PLEASE GIVE THANK YOU FOR MY EFFORTS AND YOU LIKE MY ANSWER PLEASE GIVE ITS RATE AND ALSO LIKE MY ANSWER SO MARK AS BRAINLISTS

Answer 2

Question:

Find the mode of following distribution of marks obtained by students in an examination.

| Marks obtained | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |

| No. of Students | 15 | 18 | 21 | 29 | 17 |

Answer

Mode = 68

Explanation:

Marks Obtained ---------- No. of students

00-20 ---------------------------------- 15

20-40 ---------------------------------- 18

40-60 ---------------------------------- 21 (fo)

60-80 ---------------------------------- 29 (f1)

80-100 -------------------------------- 17 (f2)

We have given that,

l = 60, h = 20 (20 - 0, 40 - 20), fo = 21, f1 = 29, f2 = 17

Used formula:

Mode = l + (f1 - fo)/(2f1 - fo - f2) × h

Substitute the known values above

→ 60 + (29 - 21)/(2*29 - 21 - 17) × 20

→ 60 + (8)/(58 - 38) × 20

→ 60 + (8/20) × 20

→ 60 + 8

→ 68

Other Formulas

• For Mean:

Sum of all observations/Number of observations

It further consists of three types

• For Mode:

l + (f1 - fo)/(2f1 - fo - f2) × h

• For Median:

l + (n/2 - cf)/(f) × h

Rela-tion between Mean, Mode and Median:

Mode = 3Median - 2Mean