Question

14. The daily wages (in rupees) of 25 labourers engaged at construction side
are given below
125,222,170,152,142,145,164,175,180,185,192,201,205,180,
175,180,185,172,174,186,162,165,168,172,175.
i) Construct a frequency distribution table by taking one of the class as 150-
165 (165 not included).
ii) Find the class mark of the class having least frequency.​

Answer 1

SOLUTION

The daily wages (in rupees) of 25 labourers engaged at construction side are given below

125,222,170,152,142,145,164,175,180,185,192,201,205,180,

175,180,185,172,174,186,162,165,168,172,175.

TO DETERMINE

i) Construct a frequency distribution table by taking one of the class as 150 - 165 (165 not included).

ii) Find the class mark of the class having least frequency.

EVALUATION

1 ) The required frequency distribution table is as below :

$\sf{ \: Class \: Interval \: \: \: \: \: \: Class \: Mark \: \: \: \: \: \: Frequency }$

$\sf{ \: \: \: 120 - 135 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 127.5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1}$

$\sf{ \: \: \: 135 - 150 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 142.5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2}$

$\sf{ \: \: \: 150 - 165 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 157.5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3}$

$\sf{ \: \: \: 165 - 180\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 172.5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9}$

$\sf{ \: \: \: 180 - 195 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 187.5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7}$

$\sf{ \: \: \: 195 - 210 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 202.5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2}$

$\sf{ \: \: \: 210 - 225 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 217.5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1}$

2) Here we have to find the class mark of the class having least frequency.

In the above frequency distribution table there are 2 frequency with least value ( 1 )

The required class marks are : 127. 5 & 217.5

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