Question
Read the Source Text given below and answer these questions: In an effort to provide high$-$quality and safe playgrounds for kids, our reputable manufacturers adhere to the playground safety guidelines set forth by the Indian Consumer Product Safety Commission $(\text{CPSC})$ and the Indian Society for Advancement of Materials and Processing Engineering $(\text{ISAMPE}).$ These organizations set the guidelines for determining the types of playground equipment that is appropriate for kids within specific age groups: $2-3$ years, $3-5$ years, $5-7$ years, $7-10$ years, $10-15$ years, and $15-17$ years. A random survey of the number of children of various age groups playing in a park was found as follows:
The histogram is as given below: 
$i.$ In this question, the class sizes are different. So, calculate the adjusted frequency for each class by using the following formula:
$b. \frac{\text{Minimum class mark}}{\text{Class size of this class}}\times$ Its Frequency
$c. \frac{\text{Minimum Frequency}}{\text{Class size of this class}}\times$ Its class size
$d. \frac{\text{Minimum class mark}}{\text{Class mark of this class}}$
$ii.$ In this question the minimum class size is:
$a. 0$
$b. 1$
$c. 2$
$d. 3$
$iii.$ The class limits of third class interval $3-5:$
$a.$ Lower limit $= 5,$ upper limit $= 3$
$b.$ Lower limit $= 5,$ upper limit $= 7$
$c.$ Lower limit $= 3,$ upper limit $= 5$
$d. $Lower limit $= 7,$ upper limit $= 5$
$iv.$ Adjusted Frequency for class interval $5-7$ and $7-10:$
$a. 3, 6$
$b. 3, 3$
$c. 6, 6$
$d. 6, 3$
$v.$ Find the class mark of class $15 - 17:$
$a. 16$
$b. 12$
$c. 25$
$d. 2$
|
Age (in years)
|
Number of children
|
|---|---|
|
$1-2$
|
$5$
|
|
$2-3$
|
$3$
|
|
$3-5$
|
$6$
|
|
$5-7$
|
$12$
|
|
$7-10$
|
$9$
|
|
$10-15$
|
$10$
|
|
$15-17$
|
$4$
|
$i.$ In this question, the class sizes are different. So, calculate the adjusted frequency for each class by using the following formula:
Frequency density or adjusted frequency for class:
$a. \frac{\text{Minimum class size}}{\text{Class size of this class}}\times$ Its Frequency$b. \frac{\text{Minimum class mark}}{\text{Class size of this class}}\times$ Its Frequency
$c. \frac{\text{Minimum Frequency}}{\text{Class size of this class}}\times$ Its class size
$d. \frac{\text{Minimum class mark}}{\text{Class mark of this class}}$
$ii.$ In this question the minimum class size is:
$a. 0$
$b. 1$
$c. 2$
$d. 3$
$iii.$ The class limits of third class interval $3-5:$
$a.$ Lower limit $= 5,$ upper limit $= 3$
$b.$ Lower limit $= 5,$ upper limit $= 7$
$c.$ Lower limit $= 3,$ upper limit $= 5$
$d. $Lower limit $= 7,$ upper limit $= 5$
$iv.$ Adjusted Frequency for class interval $5-7$ and $7-10:$
$a. 3, 6$
$b. 3, 3$
$c. 6, 6$
$d. 6, 3$
$v.$ Find the class mark of class $15 - 17:$
$a. 16$
$b. 12$
$c. 25$
$d. 2$
