Tag: data handling analysis

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Questions Related to data handling analysis

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

Satish got the following marks in his weekly class tests out of $50$:
$48$, $32$, $36$, $42$, $38$, $35$, $39$, $49$, $34$, $14$, $32$, $37$, $31$ What should he expect in the next weekly test out of the following?
(i) between $40 - 50$
(ii) between $30 - 40$

  1. Between $40-50$
  2. Between $30-40$

  3. Data insufficient

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Most of the marks provided fall within the 30-40 range (32, 36, 38, 35, 39, 34, 32, 37, 31). Therefore, it is statistically most probable that the next test score will fall in this range.

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data
 12  24  36  48  60  72
 24  48  60  72  50  30
 50  45  50  75  50  34

The number of students in a quiz competition scores are in the table. How many students scored $50$ marks?

  1. $4$
  2. $5$
  3. $8$
  4. $3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
 Scores  Frequency
 12  1
 24  2
 30  1
 34  1
 36  1
 45  1
 48  2
 50  4
 60  2
 72  2
 75  1

So, there are $4$ students scored $50$ marks.

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

Consider the following frequency distribution:

Class $0-10$ $0-20$ $0-30$ $0-40$ $0-50$
Frequency $3$ $8$ $14$ $20$ $25$

What is the above frequency distribution known as?

  1. Cumulative distribution in more than type

  2. Cumulative distribution in less than type

  3. Continuous frequency distribution

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The given table lists the upper limits of the classes alongside the accumulated frequencies up to that point, which defines a less than type cumulative frequency distribution. More than type distributions use lower limits with frequencies accumulated downward.

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

Consider the following statements :
1. A continuous random variable can take all values in an interval.
2. A random variable which takes a finite number of values is necessarily discrete.
3. Construction of a frequency distribution is based on data which are discrete.
Which of the above statements are correct ?

  1. 1 and 2 only

  2. 2 and 3 only

  3. 1 and 3 only

  4. 1, 2 and 3
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement 1 is correct (continuous variables take intervals). Statement 2 is correct (finite values imply discrete). Statement 3 is incorrect because frequency distributions can be constructed for continuous data as well.

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as below :
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0
The number of students who obtained marks more than or equal to 5 is

  1. 13

  2. 15

  3. 16

  4. 17
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Arranging the given marks in ascending order we get,

$0,0,0,0,1,1,2,2,3,3,4,5,5,5,5,6,7,7,8,8,8,8,8,8,9,9,10,10$
Students who obtained marks more than or equal $5$ are,
$5,5,5,5,6,7,7,8,8,8,8,8,8,9,9,10,10$
$\therefore$  Number of students who obtained marks more or equal to $5$ $=17$

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

The frequency distribution of marks obtained by $60$ students of a class is given.

X $30-34$ $40-44$ $45-49$ $50-54$ $55-59$ $60-64$
f $3$ $5$ $12$ $18$ $14$ $62$


Find mode of the distribution.

  1. $42.50$
  2. $52.50$
  3. $52.05$
  4. $42.05$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The given class intervals should be converted into class boundaries. Since the distribution is regular, the modal class, by inspection, is $49.5-54.5$
Further, $L _m=49.5, f _m=18, f _1=12, f _2=12, h=5$
Mode, $Z=49.5+\displaystyle\frac{18-12}{(2\times 18)-12-14}\times 5=52.5$