Scholastic Aptitude Test - Mathematics - Statistics

Question - 1

The formula for finding mode in a grouped frequency distribution is \(1+\left( \frac { { f }_{ 1 }-{ f }_{ 0 } }{ 2{ f }_{ 1 }-{ f }_{ 0 }-{ f }_{ 2 } } \right) \times h\) What does f1 represent here?

  • A frequency of the modal class
  • B frequency of the class preceding the modal class
  • C frequency of the class succeeding the modal class
  • D frequency of the last class

Question - 2

The frequency of the class preceding the modal class in the following frequency distribution is

Marks Number of Students
20-30 4
30-40 28
40-50 42
50-60 20
60-70 6
  • A 28
  • B 32
  • C 20
  • D 100

Question - 3

The number of family members of 30 families of a village is ascending to the following table, Find their mode.

No. of Members No. of families
2 1
3 2
4 4
5 6
6 10
7 3
8 5
  • A 2
  • B 4
  • C 3
  • D 6

Question - 4

The formula for finding out the median in a grouped frequency distribution is \(1+\frac { \left( \frac { n }{ 2 } -f \right) }{ f } \times h\) What does f represent here?

  • A frequency of the class preceding the median class
  • B cumulative frequency of the class preceding the median class
  • C frequency of the class succeeding the median class
  • D cumulative frequency of the class succeeding the median class

Question - 5

The weight of 12 men are given as 75, 73, 73, 72, 72, 72, 70, 70, 68, 68, 68, 68, kg. Find the mean weight?

  • A 70.75 kg
  • B 70.75 g
  • C 71.75 kg
  • D none of these

Question - 6

Determine the mean of the following

Group 10-16 16-22 22-28 28-34 34-40
Frequency 1 10 5 3 6
  • A 24.72
  • B 25.77
  • C 25.72
  • D none of these

Question - 7

Following is the distribution of earnings of 200 workers in a flour mill:

Monthly wages
   (in rupees)
80-100 100-120 120-140 140-160 160-180
No.of workers 20 30 20 40 90

Estimate the average earnings of the workers

  • A 115
  • B 125
  • C 135
  • D 145

Question - 8

Find the missing frequencies, mean of the distribution is 56.

Class 0-20 20-40 40-60 60-80 80-100 100-120 Total
Frequency 16 f1 25 f2 12 10 90
  • A 11,15
  • B 10,16
  • C 11,14
  • D 11,16

Question - 9

The average weight of A, B, Cis 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, find the weight of B?

  • A 21 kg
  • B 20 kg
  • C 38 kg
  • D 31 kg

Question - 10

Which of the following relations true?

  • A AM=HM
  • B GM=AM=HM
  • C AM<HM
  • D AM≥GM≥HM
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