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Thirty Children Were Asked About the Number of Hours They Watched T.V. Programmers in the Previous Week. the Results Were Found as Follows: - Mathematics

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प्रश्न

Thirty children were asked about the number of hours they watched T.V. programmers in the previous week. The results were found as follows:

1 6 2 3 5 12 5 8 4 8
10 3 4 12 2 8 15 1 17 6
3 2 8 5 9 6 8 7 14 12

(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 – 10.
(ii)How many children watched television for 15 or more hours a week?

संक्षेप में उत्तर

उत्तर

(i) Class intervals will be 0-5,5-10,10-15,............
The grouped frequency distribution table is as follows

Hours Number of children
0-5 10
5-10 13
10-15 5
15-20 2
Total 30

(ii) The number of children, who watched TV for 15 or more hours a week is 2 (i.e.,number of children in class interval 15-20 ).

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अध्याय 22: Tabular Representation of Statistical Data - Exercise 22.1 [पृष्ठ १८]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 22 Tabular Representation of Statistical Data
Exercise 22.1 | Q 22 | पृष्ठ १८

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The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:-

161 150 154 165 168 161 154 162 150 151
162 164 171 165 158 154 156 172 160 170
153 159 161 170 162 165 166 168 165 164
154 152 153 156 158 162 160 161 173 166
161 159 162 167 168 159 158 153 154 159

(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.

(ii) What can you conclude bout their heights from the table?


A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:-

0.03 0.08 0.08 0.09 0.04 0.17
0.16 0.05 0.02 0.06 0.18 0.20
0.11 0.08 0.12 0.13 0.22 0.07
0.08 0.01 0.10 0.06 0.09 0.18
0.11 0.07 0.05 0.07 0.01 0.04

(i) Make a grouped frequency distribution table for this data with class intervals as 0.00 - 0.04, 0.04 - 0.08, and so on.

(ii) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million?


Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:-

1 6 2 3 5 12 5 8 4 8
10 3 4 12 2 8 15 1 17 6
3 2 8 5 9 6 8 7 14 12

(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 - 10.

(ii) How many children watched television for 15 or more hours a week?


A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:-

2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5
3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7
2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8
3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4
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Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2 − 2.5.


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83.0, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808,
812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.
Represent the data in the form of a frequency distribution with class size 10.


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Age (in
years):
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90 50 60 80 50 30

Construct a cumulative frequency distribution.


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