3 Mark Question

Question 13 Marks

The number of pages of a book Ninad read for five consecutive days were 60, 50, 54, 46, 50. Find the average number of pages he read everyday.

Answer

$
\frac{60+[50]+[54]+[46]+50}{[5]}=\frac{260}{[5]}=[52]
$
$\therefore$ Average number of pages read daily is 52

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Question 23 Marks

Compare and discuss a percentage bar diagram and a subdivided bar diagram. Use it to learn the graphs in the subjects like Science, Geography.

Answer

SELF

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Question 33 Marks

The number of Science and Mathematics projects submitted by Model high school, Nandpur in last 20 years at the state level science exhibition is : 2, 3 ,4, 1, 2, 3, 1, 5, 4, 2, 3, 1, 3, 5, 4, 3, 2, 2, 3, 2.
Prepare a frequency table and find the mean of the data.

Answer

$
\begin{aligned}
\operatorname{Mean}(\bar{x}) & =\frac{\sum f_i x_i}{\mathrm{~N}} \\
& =\frac{55}{20}=\frac{11 \times 5}{4 \times 5}=\frac{11}{4} \\
\therefore \quad \operatorname{Mean}(\bar{x}) & =2.75
\end{aligned}
$
$\therefore$ The mean of the given data is 2.75 .

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Question 43 Marks

The number of members in the 40 families in Bhilar are as follows:
1, 6, 5, 4, 3, 2, 7, 2, 3, 4, 5, 6, 4, 6, 2, 3, 2, 1, 4, 5, 6, 7, 3, 4, 5, 2, 4, 3, 2, 3, 5, 5, 4, 6, 2,3, 5, 6, 4, 2. Prepare a frequency table and And the mean of members of 40 families.

Answer

$
\begin{aligned}
& \operatorname{Mean}(\bar{x})=\frac{\sum f_i x_i}{\mathrm{~N}} \\
&=\frac{156}{40}=\frac{39 \times 4}{10 \times 4}=\frac{39}{10} \\
& \therefore \quad \bar{x}=3.9
\end{aligned}
$
$\therefore$ The mean of the members of 40 families is 3.9 .

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Question 53 Marks

The following table shows the electricity (in units) used by 25 families of Eklara village in a month of May. Complete the table and answer the following questions.

$x _{ i }$	No. of families (frequency) $f _{ i }$	$f _{ i } \times x _{ i }$
30	4
45	6
60	12
75	8
90	3
	N = __	$\sum f_i \times x_i=$

i. How many families use 45 units electricity ?
ii. State the score, the frequency of which is 5.
iii.Find $N$, and $\sum f_i \times x_i$.
iv. Find the mean of electricity used by each family in the month of May.

Answer

Electricity used (Units) $x _{ i }$	No. of families (frequency) $f _{ i }$	$f _{ i } \times x _{ i }$
30	7	210
45	2	90
60	8	480
75	5	375
90	3	270
	$N = 25$	$f_{ i } \times x_i=1425$

i. 2 families used 45 units of electricity.
ii. The score for which the frequency is 5 is 75
iii. $N=25$ and $\sum f_i \times x_i=1425$
iv.
$
\begin{aligned}
\text { Mean }(\bar{x}) & =\frac{\sum f_i x_i}{\mathrm{~N}} \\
& =\frac{1425}{25} \\
\text { Mean }(\bar{x}) & =57
\end{aligned}
$
The mean of electricity used by each.

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Question 63 Marks

The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student.

No. of saplings (Scores) $x_i$	No. of students (frequency) $f_i$	$f_i$ × $x_i$
1	4	4
2	6	__
3	12	__
4	8	__
	N = __	$\sum f_i \times x_i=$ __

Answer

No. of saplings (Scores) $x_i$	No. of students (frequency) $f_i$	$f_i$ × $x_i$
1	4	4
2	6	12
3	12	36
4	8	32
	N = __	$\sum f_i \times x_i=$= 84

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Maths 3 Mark Question

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