Download App

Statistics — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsStatistics4 Marks
Question
Read the Source Text given below and answer answer these questions: A healthcare survey was done by the state health and family welfare care board of the state of Punjab. The data is collected by forming age groups; i.e; $10-15, 20-25 ....$ and so on. The overall data from a town is given below in the form of a bar graph. Read the data carefully and answer the questions that follow.

$i.$ What is the percentage of the youngest age-group persons over those in the oldest age group$?$
$a. 400.56\%$
$b. 466.67\%$
$c. 500\%$
$d. 500.67\%$
$ii.$ What is the total population of the town$?$
$a. 6800$
$b. 7000$
$c. 6700$
$d. 6600$
$iii.$ How many persons are more in the age-group $10-15$ than in the age group $30-35?$
$a. 100$
$b. 200$
$c. 250$
$d. 300$
$iv.$ What is the age-group of exactly $1200$ persons living in the town$?$
$a. 20-25$
$b. 10-15$
$c. 15-20$
$d. 25-30$
$v.$ What is the total number of persons living in the town in the age$-$groups $10-15$ and $60-65?$
$a. 2100$
$b. 2000$
$c. 2200$
$d. 2400$
✓

Answer

$(i)$
$(b)$
$446.67\%$
$(ii)$
$(c)$
$6700$
$(iii)$
$(d)$
$300$
$(iv)$
$(a)$
$20-25$
$(v)$
$(c)$
$2200$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Case study (4 Marks)" from Statistics→Statistics — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Read the following text carefully and answer the questions that follow:
As shown In the village of Surya there was a big pole $PC$. This pole was tied with a strong wire of $10 m$ length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles.
This time electricians need a staircase of $10 m$ so that it can reach at point $P$ on the pole and this should make $60^{\circ}$ with line $AC. $
Image

$i.$ Show that $\triangle APC$ and $\triangle BPC$ are congruent.
$ii.$ Find the value of $\angle x$.
$iii.$ What is the value of $\angle PBC$ ?
OR
Find the value of $\angle y$.
→
Read the Source/ Text given below and answer these questions:

There is a Diwali celebration in the $DPS$ school Janakpuri New Delhi. Girls are asked to prepare Rangoli in a triangular shape. They made a rangoli in the shape of $\triangle ABC.$ Dimensions of $\triangle\text{ABC}$ are $26\ cm, 28\ cm, 25\ cm.$

$i.$ In fig, $R$ is mid$-$point of $AB$ and $RQ \| BC$ then $AQ$ is equal to:
$a. BC$
$b. RB$
$c. QC$
$d. AD$
$ii.$ In fig $R$ and $Q$ are mid-points of $AB$ and $AC$ respectively. The length of $RQ$ is:
$a. 14$
$b. 13$
$c. 12.5$
$d.13.5$
$iii.$ If Garland is to be placed along the side of $\triangle\text{QPR}$ which is formed by joining midpoint, what is the length of garland:
$a. 79\ cm$
$b. 39.5\ cm$
$c. 35\ cm$
$d.79.5\ cm$
$iv.$ In the following figure $R, P$ and $Q$ are the mid-points of $AB, BC,$ and $AC$ respectively. Which of the following is the area of $\triangle\text{PQR}?$
$a. \frac12\text{ar (ABC)}$
$b. \frac{1}{3}\text{ar (ABC)}$
$c. \frac14\text{ar (ABC)}$
$d.\frac16\text{ar (ABC)}$
$v. R, P, Q$ are the mid-points of corresponding sides $AB, BC, CA$ in $\triangle\text{ABC}$ the figure so obtained $BPQR$ will be:
$a.$ Parallelogram.
$b.$ Trapezium.
$c.$ Quadrilateral.
$d.$ None of these.
→
This is the picture of an ice-cream cone.
Image
The radius of the cone is $4\ cm$ and the height is $15\ cm$
An ice-cream seller keeps $1/4$ of it empty.
$10.$ What is the volume $($in $cm^3)$ of the empty part of the cone$?$
$A. 12π$
$B. 15π$
$C. 19π$
$D. 20π$
→
Read the following bar graph and answer the following questions:
Image
(i) In which year was the difference between the sales of the scooters and the sales of cars the least?
(a) 2015(\quad$ (b) 2016(\quad$ (c) 2017(\quad$ (d) 2018
(ii) Total number of vehicles (scooters and cars) sold in the year 2015 and 2016 was
(a) 26,100$\quad$ (b) 28,500$\quad$ (c) 25,100$\quad$ (d) 27,500
(iii) The maximum difference between the sales of scooters and cars, in any year, in the given period was
(a) 1500$\quad$ (b) 1700$\quad$ (c) 1800$\quad$ (d) 2000
(iv) The total number of scooters sold in the four years was
(a) 26,000$\quad$ (b) 27,000$\quad$ (c) 31,000$\quad$ (d) 32,000
(v) The ratio between the total number of vehicles sold (scooters and cars) in the year 2016 and that in the year 2018.
(a) 41:46$\quad$ (b) 69:91$\quad$ (c) 147:182$\quad$ (d) 46:49
→

Following bar graph represents the sales of cold drinks of two companies A and B from 2015 to 2018.
Image
Read the above bar graph and answer the following questions:
(i) The year in which the difference between the sales of two companies was highest, was
(a) 2018$\quad$ (b) 2015$\quad$ (c) 2016$\quad$ (d) 2017$\quad$
(ii) Total sales of A and B in the year 2016 was
(a) 116,000 units$\quad$ (b) 127,000 units$\quad$ (c) 138,000 units$\quad$ (d) 149,000 units
(iii) The minimum difference between the sales of company A and B in any year in the given period was
(a) 9,000 units$\quad$ (b) 7,000 units$\quad$ (c) 5,000 units$\quad$ (d) 3,000 units
(iv) In which year was the sales of company B more than the sales of company A?
(a) 2015$\quad$ (b) 2016$\quad$ (c) 2017$\quad$ d) 2018
(v) The ratio of the total sales in the year 2017 and that in 2018 was
a) 107:145$\quad$ (b) 29:36$\quad$ (c) 127: 145$\quad$ (d) 107: 127

→
→
'Learning by doing' has great impact in teaching of Maths. Students also enjoy Mathematics by activity method. Mr. Paul, a Mathematics teacher has explained the topic of Lines and Angles by taking a very thin steel wire. He used steel wire and made some shapes at some specific angles and shown to students and asked questions.
Image
Choose the correct option in the following questions:
(i) What is the measure of $\angle B O D$ in figure?
(a) $90^{\circ}$$\quad$(b) $70^{\circ}$$\quad$(c) $80^{\circ}$$\quad$(d) $100^{\circ}$
(ii) What is measure of $\angle y$ in figure ?
(a) $110^{\circ}$$\quad$(b) $90^{\circ}$$\quad$(c) $140^{\circ}$$\quad$(d) $100^{\circ}$$\quad$
(iii) What is the measure of $\angle a$ and $\angle b$ respectively in Figure, if a : b = 2 : 3 and $O P \perp X Y$ ?
(a) $54^{\circ}, 36^{\circ}$$\quad$(b) $36^{\circ}, 54^{\circ}$$\quad$(c) $60^{\circ}, 90^{\circ}$$\quad$(d) $40^{\circ}, 60^{\circ}$
(iv) What is measure of $\angle c$ in figure ?
(a) $144^{\circ}$$\quad$(b) $90^{\circ}$$\quad$(c) $126^{\circ}$$\quad$(d) $120^{\circ}$
→
Raghav bought this planter.
Image
The radius of the rim is $14\ cm.$ The curved surface area of the planter is $1848\ cm^2$
$5.$ What is the height of the planter$?$
$6.$ What is the volume of the planter$?$
→
Read the following text carefully and answer the questions that follow:
Sanjay and his mother visited in a mall. He observes that three shops are situated at $P, Q, R$ as shown in the figure from where they have to purchase things according to their need. Distance between shop $P$ and $Q$ is $8 m$ and between shop $P$ and $R$ is $6 m$.
Considering $O$ as the center of the circles.
Image
$i$. Find the Measure of $\angle QPR$.
$ii$. Find the radius of the circle.
$iii$. Find the Measure of $\angle QSR$.
OR
Find the area of $\Delta PQR$.
→
$1.$ Highways $20A$ and $56C$ run parallel to each other for $20 km$ in a state.
Which of the following statements is most likely to be true regarding them$?$
$A.$ Both highways are of the same length.
$B.$ There can be no link road between them.
$C.$ The highways make an angle $90^\circ $ with each other.
$D.$ The distance between the two highways remains almost the same in the state.
→