Statistics Test - 22

Result

Statistics Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

What is the modal class for the following table?

A
$$25-30$$

B
$$30-35$$

C
$$40-45$$

D
$$50-55$$

Solution

The modal class is the class with the highest frequency.
In this case, the highest frequency is $$10$$, which is the frequency for class $$30-35$$.
Question 2
1 / -0

Compute the modal class of the scores of the students in a Mathematics VIII test.
Class score
12-15
15-18
18-21
21-24
24-27
27-30
30-33
frequency
1
2
7
4
2
9
7

A
$$15-18$$

B
$$24-27$$

C
$$27-30$$

D
$$30-33$$

Solution

The modal class is the class with the highest frequency.
In this case, the highest frequency is $$9$$, which is the frequency for class $$27-30$$.
Question 3
1 / -0

The table gives information about the number of goals scored by a basketball team in each match last season. Find the modal number of scores recorded.
Number of goals
$$1$$
$$2$$
$$3$$
$$4$$
$$5$$
$$6$$
Frequency
$$12$$
$$10$$
$$12$$
$$14$$
$$18$$
$$16$$

A
$$5$$

B
$$18$$

C
$$6$$

D
$$12$$

Solution

The number of goals $$5$$ has the highest frequency $$18$$.
So, the modal number of scores recorded is $$5$$.
Question 4
1 / -0

From the table, find the median class for the following data.

A
$$13.5-16.5$$

B
$$12.5-13.5$$

C
$$10.5-14.5$$

D
$$12.5-10.5$$

Solution

To find the median class:
First add the total number of frequencies.
Here, $$f = 20$$
$$=$$ $$\dfrac{Total \space\ number\space\ of \space\ frequency }{2}$$
$$=$$ $$\dfrac{20 }{2} =10$$
$$\text{from c.f column we can see 12 is greater than and nearest to 10}$$
Hence, the median class of $$10$$ lies between the intervals $$13.5-16.5$$.
Question 5
1 / -0

What is the median class for the following data?
X
5-10
10-15
15-20
20-25
25-30
frequency
2
4
5
2
7

A
$$5-10$$

B
$$20-25$$

C
$$25-30$$

D
$$15-20$$

Solution

To find the median class:
First add the total number of frequencies.
Here, $$f = 20$$

$$=$$ $$\dfrac{Total \space\ number\space\ of \space\ frequency }{2}$$

So, Median class $$=$$ $$\dfrac{20 }{2} =10$$

Hence, the value $$10$$ lies in the class interval $$15-20$$ from the cumulative frequency table.
Question 6
1 / -0

Weight (Kg) Frequency
60 up to 70 13
70 up to 75 2
75 up to 95 45
95 up to 100 7

Given the table above, find the modal class.

A
$$70$$ up to $$75$$

B
$$75$$ up to $$95$$

C
$$60$$ up to $$70$$

D
$$95$$ up to $$100$$

Solution

The modal class is the class with the highest frequency.
In this case, the highest frequency is $$45$$, which is the frequency for class $$75$$ up to $$95$$.
Question 7
1 / -0

The table shows the heights of a group of trees. Find the mode.
Height (cm)
12
10
24
14
18
Number of trees
2
4
1
6
5

A
$$24$$

B
$$14$$

C
$$10$$

D
$$12$$

Solution

The height $$14$$ has the highest frequency $$6$$.
So, the mode is $$14$$.
Question 8
1 / -0

What is the mode, if mean $$= 20$$ and median $$= 15$$?

A
20

B
15

C
5

D
10

Solution

Applying the relation between mean, median and mode formula,
Mode $$= 3$$ Median $$-2$$ Mean
$$= 3 \times 15 - 2 \times 20$$
$$= 45 - 40$$
$$= 5$$
Question 9
1 / -0

Find the upper limit of the median class from the given frequency distribution table.
Class $$0-5$$ $$6-11$$ $$12-17$$ $$18-23$$ $$24-29$$
Frequency $$03$$ $$10$$ $$15$$ $$8$$ $$11$$

A
$$17$$

B
$$17.5$$

C
$$18$$

D
$$18.5$$

Solution

Cumulative frequency =Sum of all frequency $$N=47$$

Class

Frequency

CF

0-5

6-11

12-17

18-23

24-29

3

10

15

8

11

3

13

28

36

47

$$N=47,\quad \cfrac{N}{2}=23.5$$
Since $$23.5$$ lies in CF $$28$$
So, $$12-17$$ is median class
Thus upper limit of median class $$=17$$
Question 10
1 / -0

The wickets taken by a bowler in a one-day cricket match are $$4, 5, 6, 3, 4, 0, 3, 2, 3, 5.$$ The mode of the data is ...............

A
$$3$$

B
$$4$$

C
$$5$$

D
$$2$$

Solution

Mode of the set of data is the observation which occurs the most.
$$4$$ and $$6$$ occurs $$2$$ times each, $$6,~2$$ and $$0$$ occurs $$1$$ time each, whereas $$3$$ occurs $$3$$ times.
Thus, the number $$3$$ occurs the maximum number of times i.e., $$3$$.
Therefore, mode of the data is $$3$$.

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Class score	12-15	15-18	18-21	21-24	24-27	27-30	30-33
frequency	1	2	7	4	2	9	7

Number of goals	$$1$$	$$2$$	$$3$$	$$4$$	$$5$$	$$6$$
Frequency	$$12$$	$$10$$	$$12$$	$$14$$	$$18$$	$$16$$

Weight (Kg)	Frequency
60 up to 70	13
70 up to 75	2
75 up to 95	45
95 up to 100	7

Class	$$0-5$$	$$6-11$$	$$12-17$$	$$18-23$$	$$24-29$$
Frequency	$$03$$	$$10$$	$$15$$	$$8$$	$$11$$

X	5-10	10-15	15-20	20-25	25-30
frequency	2	4	5	2	7

Height (cm)	12	10	24	14	18
Number of trees	2	4	1	6	5

Statistics Test - 22

Result

Statistics Test - 22

Score

-

Rank

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Question 1

$$25-30$$

$$30-35$$

$$40-45$$

$$50-55$$

Solution

Question 2

$$15-18$$

$$24-27$$

$$27-30$$

$$30-33$$

Solution

Question 3

$$5$$

$$18$$

$$6$$

$$12$$

Solution

Question 4

$$13.5-16.5$$

$$12.5-13.5$$

$$10.5-14.5$$

$$12.5-10.5$$

Solution

Question 5

$$5-10$$

$$20-25$$

$$25-30$$

$$15-20$$

Solution

Question 6

$$70$$ up to $$75$$

$$75$$ up to $$95$$

$$60$$ up to $$70$$

$$95$$ up to $$100$$

Solution

Question 7

$$24$$

$$14$$

$$10$$

$$12$$

Solution

Question 8

20

15

5

10

Solution

Question 9

$$17$$

$$17.5$$

$$18$$

$$18.5$$

Solution

Question 10

$$3$$

$$4$$

$$5$$

$$2$$

Solution

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