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MATHS 1 Marks Question

Data Handling · Bihar Board (BSEB) STD 7 (BSEB - English Medium). 15 questions.

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15 questions · timed · auto-graded

Question 11 Mark
Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: Can you explain how you would estimate the number of books sold in $1989?$
Answer
From the graph, we can conclude that,
The number of books sold in the year $1989$ is about $1$ and $\frac{3}{4} \mathrm{th}$ part of $1 \ cm.$
Now, we know that,
The scale here is:
$1cm = 100$ books
Hence,
$100 + \frac{3}{4} \mathrm{th} \times$100$
$= 100 + 75 = 175$
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Question 21 Mark
Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: In which years were fewer than $250$ books sold?
Answer
While observing the graph, we can conclude that,
The years in which the total number of books sold was less than $250$ are: The year 1989 and the year $1992.$
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Question 31 Mark
Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: In which year about $475$ books were sold? About $225$ books sold?
Answer
From observing the above graph, We can say that,
$475$ books were sold in the year $1990$
And, $225$ books were sold in the year $1992$
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Question 41 Mark
Read the bar graph (Fig) which shows the number of books sold by a bookstore during five consecutive years and answer the question: About how many books were sold in $1989? 1990? 1992?$
Answer
From the graph it follows that:
The total books sold in the year $1989, 1990$ and $1992$ are as follows:
Number of books sold in $1989 = 180$
Number of books sold in $1992 = 220$
And number of books sold in $1990 = 480$
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Question 91 Mark
A cricket scores the following runs in eight innings: $58, 76, 40, 35, 46, 45, 0, 100$. Find the mean score.
Answer
Mean Score = $\frac{\text { Sum of all observations }}{\text { number of observations }}$
$= \frac{58+76+40+35+46+45+0+100}{8}$
$= \frac{400}{8} = 50$
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Question 101 Mark
Find the mean of the first five whole numbers.
Answer
First 5 whole numbers are $0, 1, 2, 3$ and $4.$
Arithmetic mean = $\frac{\text { Sum of all observations }}{\text { number of observations }}$
$= \frac{0+1+2+3+4}{5} = \frac{10}{5} = 2$
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Question 111 Mark
Find the mode of the set of numbers: $1, 1, 2, 4, 3, 2, 1, 2, 2, 4$
Answer
Arranging the numbers with same values together, we get
$1, 1, 1, 2, 2, 2, 2, 3, 4, 4$
Mode of this data is $2$ as it is the most frequent observation.
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Question 121 Mark
The ages in years of $10$ teachers of a school are: $32, 41, 28, 54, 35, 26, 23, 33, 38, 40$
What is the mean age of these teachers?
Answer
Mean age of the teachers
$=\frac{23+26+28+32+33+35+38+40+41+54}{10}$ years
$=\frac{350}{10}$ years $= 35$ years
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Question 131 Mark
The ages in years of $10$ teachers of a school are: $32, 41, 28, 54, 35, 26, 23, 33, 38, 40$
What is the range of the ages of the teachers?
Answer
Range of the ages of the teachers = oldest - youngest $= (54 – 23)$ years $= 31$ years
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Question 141 Mark
The ages in years of $10$ teachers of a school are: $32, 41, 28, 54, 35, 26, 23, 33, 38, 40$
What are the ages of the oldest teacher and that of the youngest teacher?
Answer
After arranging the ages in ascending order, we have:
$23, 26, 28, 32, 33, 35, 38, 40, 41, 54$
Clearly, the age of the oldest teacher is $54$ years and the age of the youngest teacher is $23$ years.
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Question 151 Mark
Ashish studies for $4$ hours, $5$ hours and $3$ hours respectively on three consecutive days. How many hours does he study daily on an average?
Answer
The average study time of Ashish =
$\frac{\text { Total number of study hours }}{\text { Number of days for which he studied }}=\frac{4+5+3}{3}$ hours $= 4$ hours per day
Thus, we can say that on an average Ashish studies for $4$ hours daily.
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