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## Answers

Make the class sizes equal then we can find the mode.

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Yes we can.. We need to do more computations and use an appropriate formula for that.

we calculate height of the class interval by dividing the frequency by that class width. That class which has the maximum height will be the modal class, containing the mode.

10 - 15 5 5/5= 1

15 - 18 9 9/3 = 3 call this H1

18 - 25 35 35/7= 5

25 - 29 16 16/4 = 4 Call this H2

30 - 32 4 4/2 = 2

Now, class 18 - 25 contains mode.

L = lower limit of the class 18.

w = width of the class.

height differences between classes on either side of modal class:

h1 = 5 - 3 = 2

h2 = 5 - 4 = 1

Mode = L + h1 * w / (h1 + h2) = 18 + 2 * 7 /(2+1) = 68/3

= 22.6667

Also mode can be expressed as = L + H2 * w / (H1 + H2) = 18 + 4*7/(3+4)

= 22.0

we calculate height of the class interval by dividing the frequency by that class width. That class which has the maximum height will be the modal class, containing the mode.

__Class frequency height__10 - 15 5 5/5= 1

15 - 18 9 9/3 = 3 call this H1

18 - 25 35 35/7= 5

25 - 29 16 16/4 = 4 Call this H2

30 - 32 4 4/2 = 2

Now, class 18 - 25 contains mode.

L = lower limit of the class 18.

w = width of the class.

height differences between classes on either side of modal class:

h1 = 5 - 3 = 2

h2 = 5 - 4 = 1

Mode = L + h1 * w / (h1 + h2) = 18 + 2 * 7 /(2+1) = 68/3

= 22.6667

Also mode can be expressed as = L + H2 * w / (H1 + H2) = 18 + 4*7/(3+4)

= 22.0