Statistics — CDS Elementary Mathematics PYQs

If the average of 64, 69, 72, 75, $x$ lies between 62 and 76 (excluding 62 and 76), then what is the number of possible integer values of $x$?

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f+2$	$f-3$	$f+6$

What is the value of $f$?

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f+2$	$f-3$	$f+6$

What is the median of the frequency distribution?

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f+2$	$f-3$	$f+6$

What is the mode of the frequency distribution?

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f+2$	$f-3$	$f+6$

What is the most appropriate graphical representation of the given frequency distribution of $X$?

Consider the following for the next five (05) items that follow:
The frequency distribution of 205 observations on $X$ is given below:

$X$	3	5	6	7
Frequency	$f$	$f+2$	$f-3$	$f+6$

What is the mean of the frequency distribution?

Consider the following for the next two (02) items that follow:
The frequency distribution of marks obtained by students in an English examination is given below:

Marks obtained	Number of Students
Below 40	50
Below 50	125
Below 60	210
Below 70	315
Below 80	350

What is the number of students who scored between 60 and 70 marks?

Consider the following for the next two (02) items that follow:
The frequency distribution of marks obtained by students in an English examination is given below:

Marks obtained	Number of Students
Below 40	50
Below 50	125
Below 60	210
Below 70	315
Below 80	350

What is the number of students who scored more than 50 marks?

Consider the following for the next three (03) items that follow:
Circulation figures (in thousands) of different newspapers (A, B, C, D, E) for five years are given below:

Year	A	B	C	D	E
2019	20	10	15	8	20
2020	12	12	18	12	12
2021	24	14	17	14	15
2022	26	10	16	15	9
2023	22	16	14	16	11

In which of the given years was the circulation of the newspaper D close to its average circulation over all the years?

Consider the following for the next three (03) items that follow:
Circulation figures (in thousands) of different newspapers (A, B, C, D, E) for five years are given below:

Year	A	B	C	D	E
2019	20	10	15	8	20
2020	12	12	18	12	12
2021	24	14	17	14	15
2022	26	10	16	15	9
2023	22	16	14	16	11

In which of the years from 2019 to 2022 was the circulation of the newspaper D close to the average circulation of all the newspapers in that year?