If values of x of the following frequency table is increased by 1 then what happens to its mean- - x f- 1 6- 2 4- 3 2- 4 5- 5 3 -A- It is increased by 1B- It is decreased by 1C- It is doubledD- It stays the same

The correct option is A It is increased by 1Arithmetic mean = ∑f_ix_i/∑f_i [let it be the initial mean] If x_i's are increased by 1 then nbsp; New mean=∑f_i( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Arithmetic Mean from Frequency Table

If values of ...

Question

If values of x of the following frequency table is increased by 1 then what happens to its mean?

x f

1 6

2 4

3 2

4 5

5 3

It is increased by 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

It is decreased by 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

It is doubled

No worries! We‘ve got your back. Try BYJU‘S free classes today!

It stays the same

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A It is increased by 1
Arithmetic mean = $\frac{\sum f_{i} x_{i}}{\sum f_{i}}$ [let it be the initial mean]
If $x_{i}$ 's are increased by 1 then
New mean= $\frac{\sum f_{i} (x_{i} + 1)}{\sum f_{i}}$
= $\frac{\sum f_{i} x_{i} + \sum f_{i}}{\sum f_{i}}$
= $\frac{\sum f_{i} x_{i}}{\sum f_{i}}$ + 1
=initial mean + 1
$∴$ The mean is also increased by 1.

Suggest Corrections

Similar questions

The temperature of a fixed mass of gas increase from 100k to 400k. What will happen to its volume?

Q. The following data is for class of 5 people and their weights:
24, 26, 25, 30, 35
What happens to the average when the boy who weighs 24 kg leaves the class?

Q. The fundamental frequency of a sonometer wire increases by 5 Hz if its tension is increased by 21%. Instead if the length of wire is decreased by 10%, then the fundamental frequency becomes

Q. A sound wave has an amplitude of

15 c m

. If it is increased to

60 c m

, what happens to the loudness of the sound?

If the numerator of a fraction is increased by 2 and its denominator is decreased by 1, it becomes $\frac{2}{3}$ . If the numerator is increased by 1 and the denominator is increased by 2, it becomes $\frac{1}{3}$ . Find the fraction.

Join BYJU'S Learning Program

If values of x of the following frequency table is increased by 1 then what happens to its mean? x f 1 6 2 4 3 2 4 5 5 3

The correct option is A It is increased by 1Arithmetic mean = ∑fixi∑fi [let it be the initial mean] If xi's are increased by 1 then New mean=∑fi(xi+1)∑fi =∑fixi+∑fi∑fi =∑fixi∑fi + 1 =initial mean + 1 ∴ The mean is also increased by 1.

If values of x of the following frequency table is increased by 1 then what happens to its mean?

x f

1 6

2 4

3 2

4 5

5 3