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7. Frequency Distribution Tables and Graphs
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Q20 of 33 Page 156

The median of a set of 9 distinct observations is 20. If each of the largest 4 observations of the set is increased by 2, find the median of the resulting set.

No of terms, n = 9

As, n is odd


Median is term.


⇒ Median is 5th term


If each of the largest 4 observations of set is increased by 2, it does not affect 5th term or the order of terms.


Therefore, median remains same i.e. 20.


More from this chapter

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18

If the mean of a set of observations x1, x2, ...., ...., x10 is 20. Find the mean of x1 + 4, x2 + 8, x3 + 12, .... ...., x10 + 40.

19

Six numbers from a list of nine integers are 7, 8, 3, 5, 9 and 5. Find the largest possible value of the median of all nine numbers in this list.

1

Given below are the ages of 45 people in a colony.

33 8 7 25 31 26 5 50 25 48 56


33 28 22 15 62 59 16 14 19 24 35


26 9 12 46 15 42 63 32 5 22 11


42 23 52 48 62 10 24 43 51 37 48


36


Construct grouped frequency distribution for the given data with 6 class intervals.

2

Number of students in 30 class rooms in a school are given below. Construct a frequency distribution table for the data with a exclusive class interval of 4 (students).

25 30 24 18 21 24 32 34 22 20 22


32 40 28 30 22 26 31 34 15 38 28


20 16 15 20 24 30 25 18

Questions · 33
7. Frequency Distribution Tables and Graphs
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 1 2 3 4 5
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