A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the
elementary school (ages 5–10), the middle school (ages 11–13), and the high school (ages 14–18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 7. Bar 2 is 11 to 13 years old and has a value of 5. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{15, 6, 7, 16, 11, 13, 8, 9, 12, 14, 14, 12, 11, 5, 10, 10}
{7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4}
{5, 7, 10, 5, 11, 13, 4, 14, 18}
{5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13}
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 7. Bar 2 is 11 to 13 years old and has a value of 5. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{15, 6, 7, 16, 11, 13, 8, 9, 12, 14, 14, 12, 11, 5, 10, 10}
{7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4}
{5, 7, 10, 5, 11, 13, 4, 14, 18}
{5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13}
2 answers:
Answer:
The correct option is 1.
Step-by-step explanation:
From the given histogram it is clear that
In age group 5-10, the number of students is 7.
In age group 11-13, the number of students is 5.
In age group 14-18, the number of students is 4.
It means age of 7 students lie in the interval 5-10, age of 5 students lie in the interval 11-13 and age of 4 students lie in the interval 14-18.
Total number of elements in the data set is
In option 3 and 4 number of elements is data set is less than 16. So, option 3 and 4 are incorrect.
In option 2 all the data set lie in the interval 5-10. So, option 2 is incorrect.
In option 1,
Class intervals elements frequency
5-10 5,6,7,8,9,10,10 7
11-13 11,11,12,12,13 5
14-18 14,14,15,16 4
From the above table we can conclude that data set 1 represented in the given histogram.
Therefore the correct option is 1.
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Answer:
The value of x is 4.
Step-by-step explanation:
It is given that triangle MRN is created when an equilateral triangle is folded in half.
It means original equilateral is triangle MNO and NR is a perpendicular bisector (<em>A line which cuts a line segment into two equal parts at 90°</em>).
The side length of the triangle is
NO = NS + SM = 6 + 2 = 8
Since an equilateral triangle is a triangle in which all three sides are equal and NR is a perpendicular bisector, therefore
RM = MO/2 = 8/2 = 4
The value of x is 4.
