Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below: Class boundary in cmfrequency3.35−3.4533...

Question 1 Report

Measurements of the diameters, in centimeters, in centimeters, of 20 copper spheres are distributed as shown below:

$\begin{matrix} Class boundary in cm & frequency \\ 3.35 - 3.45 & 3 \\ 3.45 - 3.55 & 6 \\ 3.55 - 3.65 & 7 \\ 3.65 - 3.75 & 4 \end{matrix}$

What is the mean diameter of the copper spheres?

3.40cm

3.58cm

3.56cm

3.62cm

Answer Details

$\begin{array}{cc} x(mid point) & f & f x \\ 3.4 & 3 & 10.2 \\ 3.5 & 6 & 21.0 \\ 3.6 & 7 & 25.2 \\ 3.7 & 4 & 14.8 \end{array}$
$\sum f$ = 20
$\sum f x$ = 71.2
mean = $\frac{\sum f x}{\sum f}$
= $\frac{71.2}{20}$
= 3.56

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