Question

The water-tax bills (In Rs) of 30 houses in a locality are given below:
144, 184, 130, 195, 132, 134
196, 114, 212, 174, 188, 210
202, 145, 175, 154, 174, 178
166, 146, 135, 115, 120, 114
140, 188, 176, 166, 210, 208
Construct a frequency distribution table with class size 10 for the data given above taking
the first interval as 114-124 (124 not included). And also draw the histogram.

DONOT SPAM! SPAM ANSWERS WILL BE REPORTED!

Answer 1

Answer:

Analysis→

Here the question conveys that the water bill of 30 houses(in Rs) is as follows:-

144, 184, 130, 195, 132, 134

196, 114, 212, 174, 188, 210

202, 145, 175, 154, 174, 178

166, 146, 135, 115, 120, 114

140, 188, 176, 166, 210, 208

And we've to construct a frequency distribution table and a histogram for the given data. Taking the class size as 10 and the first interval as 114-124( where 124 is not included)

Given→

Observation:-

144, 184, 130, 195, 132, 134

196, 114, 212, 174, 188, 210

202, 145, 175, 154, 174, 178

166, 146, 135, 115, 120, 114

140, 188, 176, 166, 210, 208

• Frequency(114-124)=4
• Frequency(124-134)=2
• Frequency(134-144)=3
• Frequency(144-154)=3
• Frequency(154-164)=1
• Frequency(164-174)=2
• Frequency(174-184)=5
• Frequency(184-194)=3
• Frequency(194-204)=3
• Frequency(204-214)=4

To Construct→

1. Frequency Distribution Table.
2. Histogram.

Answer→

FREQUENCY DISTRIBUTION TABLE:-

• Refer to the pic provided.

HISTOGRAM:-

• Refer to the pic provided.

$\bigstar\large{\boxed{\boxed{\bold{NOTE}}}}$

1. Here I've used the scale of histogram as 2units= 1Frequency as to make the histogram normal 'cause the frequency is in less numbers (1-5) and 1unit =1cm.
2. I've used a kink in histogram as the class size or the bill in ₹ doesn't starts form 0.

HOPE IT HELPS.