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Class 11
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Economics
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Measures of Central Tendency
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Hard Questions
Measures Of Central Tendency
Economics
2801 Views
JEE Mains
NTSE
Easy Qs
Med Qs
Hard Qs
>
Calculate the arithmetic mean for the following data using step deviation method.
Marks
$0−10$
$10−20$
$20−30$
$30−40$
$40−50$
$50−60$
No. of students
$8$
$15$
$22$
$20$
$10$
$5$
Hard
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>
The marks obtained by
$19$
students of a class are
$27,36,22,31,25,26,33,24,37,32,29,28,36,35,27,26,32,35$
and
$28$
. Find the upper quartile.
A
$35$
B
$36$
C
$37$
D
None of these
Hard
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>
The ages of children in a scout camp are
$13,13,14,15,13,15,14,15,13,15$
years. Find the mean, median and mode of the data.
Hard
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>
Obtain the mean number of bags sold by a shopkeeper on
$6$
consecutive days from the following table.
Days
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
No. of bags sold
$55$
$32$
$30$
$25$
$10$
$20$
Hard
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>
The total marks obtained by
$40$
students in the Annual examination are given below
Marks
$150−200$
$200−250$
$250−300$
$300−350$
$350−400$
$400−450$
$450−500$
Students
$2$
$3$
$12$
$10$
$4$
$6$
$3$
Using step deviation method, find the mean of the above data.
Hard
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>
Find
the value of
$n$
, if the
median of the numbers
$n+3,n+7,....n+31,n+35$
is
$30$
.
A
$11$
B
$14$
C
$19$
D
$27$
E
$32$
Hard
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>
The variate of a distribution takes the values
$1,2,3,...n$
with frequencies
$n,n−1,n−2,...3,2,1.$
then mean value of the distribution is
A
$3n(n+2) $
B
$6n(n+1)(n+2) $
C
$3n+2 $
D
$6(n+1)(n+2) $
Hard
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>
$X$
$0$
$1$
$2$
$3$
$4$
Frequency
$4$
$f$
$9$
$g$
$4$
The table above gives the frequency distribution of a discrete variable
$X$
with two missing frequencies. If the total frequency is
$25$
and the arithmetic mean of
$X$
is
$2$
, then what is the value of the missing frequency
$f$
?
A
$4$
B
$5$
C
$6$
D
$7$
Hard
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>
Find the median of the following data.
(i)
$18,12,51,32,106,92,58$
(ii)
$28,7,15,3,14,18,46,59,1,2,9,21$
Hard
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>
Consider the following data:
$X$
$1$
$2$
$3$
$4$
$5$
$f$
$3$
$5$
$9$

$2$
The arithmetic mean of the above distribution is
$2.96$
. What is the missing frequency?
A
$4$
B
$6$
C
$7$
D
$8$
Hard
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>