The A M of the following distribution is 47 Determine the value of P Classes 0-20 20-40 40-60 60-80 - Maths - Statistics

Question

The A M of the following distribution is 47 Determine the value
of P
Classes 0-20 20-40 40-60 60-80 80-100
Frequency 8 15 20 P 5
What does A M mean? dont calculate the answer just tell me the
meaning of A M

Ajanta Trivedi · Accepted Answer

arithmetic mean is the mean of the data, which is calculated be $\frac{Σ f x}{Σ f}$ .

where f is the frequency of the interval and x is the mid-point of the interval.

CI	x (mid-point of CI)	f	fx
0-20	10	8	180
20-40	30	15	450
40-60	50	20	1000
60-80	70	p	70p
80-100	90	5	450
		$Σ f =$ p+48	$Σ f x = 2080 + 70 p$

given: arithmetic mean = 47.

therefore

$\frac{Σ f x}{Σ f} = \frac{2080 + 70 p}{p + 48} = 47 2080 + 70 p = 47 p + 2256 70 p - 47 p = 2256 - 2080 23 p = 176 p = \frac{176}{23} = 94.60$

thus the value of p is 94.60.

hope this helps you.

cheers!!

The A.M of the following distribution is 47. Determine the value of P Classes 0-20 20-40 40-60 60-80 80-100 Frequency 8 15 20 P 5 What does A.M mean? dont calculate the answer just tell me the meaning of A.M

The A.M of the following distribution is 47. Determine the value of P

Classes 0-20 20-40 40-60 60-80 80-100

Frequency 8 15 20 P 5

What does A.M mean? dont calculate the answer just tell me the meaning of A.M