A number of people were asked how many coins they had in their pockets; the results are shown below. Calculate the mean number of coins per person.
Number of coins $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$
frequency $3$ $6$ $4$ $7$ $5$ $8$ $5$ $2$

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Solution

Mean $¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{139}{40} = 3.475$ Coins

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Similar questions

Q. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as under:
8, 4, 8, 5, 1, 6, 2, 5, 3, 12, 3, 10, 4, 12, 2, 8, 15, 1, 6, 17, 5, 8, 2, 3, 9, 6, 7, 8, 14, 12.

How many children watched television for 15 or more hours a week?

Q. Following is the number of heads of 8 coins when tossed 205 times:

Number of Heads	0	1	2	3	4	5	6	7	8
Frequency	2	19	46	62	47	20	5	2	2

Calculate arithmetic mean (mean number of heads per toss), using Direct Method and Short-cut Method.

Q. Question 8 (ii)
Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:

\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}

(ii) How many children watched television for 15 or more hours a week?

Q. Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:

\begin{matrix} 1 & 6 & 2 & 3 & 5 & 12 & 5 & 8 & 4 & 8 10 & 3 & 4 & 12 & 2 & 8 & 15 & 1 & 17 & 6 3 & 2 & 8 & 5 & 9 & 6 & 8 & 7 & 14 & 12 \end{matrix}

(i) Make a grouped frequency distribution table for this data, taking class width

5

and one of the class intervals as

5 - 10

.
(ii) How many children watched television for 15 or more hours a week?

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as under:
8, 4, 8, 5, 1, 6, 2, 5, 3, 12, 3, 10, 4, 12, 2, 8, 15, 1, 6, 17, 5, 8, 2, 3, 9, 6, 7, 8, 14, 12.

(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class interval as 5-10.

(ii) How many children watched television for 15 or more hours a week?

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Number of coins	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
frequency	$3$	$6$	$4$	$7$	$5$	$8$	$5$	$2$

A number of people were asked how many coins they had in their pockets; the results are shown below. Calculate the mean number of coins per person.Number of coins 01234567frequency36475852

Mean ¯x=∑fixi∑fi=13940=3.475Coins

A number of people were asked how many coins they had in their pockets; the results are shown below. Calculate the mean number of coins per person.
Number of coins $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$
frequency $3$ $6$ $4$ $7$ $5$ $8$ $5$ $2$

Mean $¯ x = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{139}{40} = 3.475$ Coins