Question

GUYSS!!❤
A SURVEY CONDUCTED ON 20 HOSTEL STUDENTS FOR READING HOURS PER DAY RESULTED IN THE FOLLOWING FREQUENCY TABLE.....

NUMBER OF READING
1-3
3-5
5-7
7-8
9-11

NUMBER OF HOSTEL STUDENTS

7
2
8
2
1

FIND THE MODE OF THIS DATA.....

UH WILL GET 10 POINT....BRAINLIEST MARK....+2 FOLLOWERS.....THNKS❤....

IF UR ANSWER IS CORRECT THEN ONLY.....❤​

Answer 1

Answer:

Mode is 6.

Step-by-step explanation:

Check out the table below.

To find mode first we need to find modal class (class with highest frequency).

Clearly it is class 5-7.

The class length is 2.

We can find mode by formula,

$m = l +(\frac{f_1 -f_0}{2f_1 - f_0 - f_1}) h$.

Here, m is mode,

         l is lower limit of modal class,

         f₁ is frequency of modal class,

         f₀ is frequency of the class before(preceding) modal class,

         f₂ is frequency of the class after(succeeding) modal class,

         h is length of class.

In this case l = 5,

                   f₁ = 8,

                   f₀ = 2,

                   f₂ = 2,

                   h = 2.

Hence, $m = 5+(\frac{8-2}{16-2-2})2$

m = 5 + (6/12) x 2

m = 5 + 1

m = 6.

Hence mode is 6.