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Question

Find the mean of the following distribution:
Class:$$3-5$$$$5-7$$$$7-9$$$$9-11$$$$11-13$$
Frequency:$$5$$$$10$$$$10$$$$7$$$$8$$

Solution
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$$C.I$$$$F_i $$$$x_i$$$$x_iF_i $$
$$ 3 - 5$$
$$5-7$$
$$7-9$$
$$9-11$$
$$11-13$$
$$5$$
$$10$$
$$10$$
$$7$$
$$8 $$
$$ 4$$
$$6$$
$$8$$
$$10$$
$$12$$
$$20$$
$$60$$
$$80$$
$$70$$
$$96 $$
$$\displaystyle\sum F_i=40$$ $$ 326$$

Mean $$= \dfrac{\displaystyle\sum x_i F_i}{\displaystyle\sum F_i} = \dfrac{326}{40} = 8.15$$

Mean $$= 8.15$$

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