Consider the following distribution :
Class Frequency
0 - 5 10
5 - 10 15
10 - 15 12
15 - 20 20
20 - 25 9
The sum of lower limits of the median class and the modal class is :
15
25
30
35
Measures of Central Tendency
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Question

Consider the following distribution :
Class Frequency
0 - 5 10
5 - 10 15
10 - 15 12
15 - 20 20
20 - 25 9
The sum of lower limits of the median class and the modal class is :
15
25
30
35

Measures of Central Tendency

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KnowledgeBoat · Accepted Answer

We construct the cumulative frequency distribution table as under : Class | Frequency | Cumulative frequency ------- | -------- | -------------------- 0 - 5 | 10 | 10 5 - 10 | 15 | 25 (15 + 10) 10 - 15 | 12 | 37 (25 + 12) 15 - 20 | 20 | 57 (37 + 20) 20 - 25 | 9 | 66 (57 + 9) Here n (total no. of observations) = 66. As n is even, By formula, Median = As observation from 26th to 37th lie in the class 10 - 15, ∴ Median class = 10 - 15. Since the class 15 - 20 has highest frequency i.e. 20. ∴ Modal class = 15 - 20. Sum of lower limit of median and modal class = 10 + 15 = 25. Hence, Option 2 is the correct option.

Class interval	Frequency
0 - 10	5
10 - 20	8
20 - 30	13
30 - 40	7
40 - 50	6

Mathematics

Consider the following distribution :
Class Frequency
0 - 5 10
5 - 10 15
10 - 15 12
15 - 20 20
20 - 25 9
The sum of lower limits of the median class and the modal class is :
15
25
30
35

Measures of Central Tendency

Related Questions

If the mode of the following data is 7, the value of k is :
2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 13
2
3
4
7

The lower limit of the modal class of the following data is:
Class interval Frequency
0 - 10 5
10 - 20 8
20 - 30 13
30 - 40 7
40 - 50 6
10
20
30
40

The relation connecting the measures of central tendency is:
Mode = 2 Median - 3 Mean
Mode = 3 Median - 2 Mean
Mode = 2 Median + 3 Mean
Mode = 3 Median + 2 Mean

Find the median of the data it being given that mode = 12.3 and mean = 10.5
10.6
10.8
11.1
11.4

Mathematics

Consider the following distribution :ClassFrequency0 - 5105 - 101510 - 151215 - 202020 - 259The sum of lower limits of the median class and the modal class is :15253035

Measures of Central Tendency

Related Questions

If the mode of the following data is 7, the value of k is :2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 132347

The lower limit of the modal class of the following data is:Class intervalFrequency0 - 10510 - 20820 - 301330 - 40740 - 50610203040

The relation connecting the measures of central tendency is:Mode = 2 Median - 3 MeanMode = 3 Median - 2 MeanMode = 2 Median + 3 MeanMode = 3 Median + 2 Mean

Find the median of the data it being given that mode = 12.3 and mean = 10.510.610.811.111.4

Consider the following distribution :
Class Frequency
0 - 5 10
5 - 10 15
10 - 15 12
15 - 20 20
20 - 25 9
The sum of lower limits of the median class and the modal class is :
15
25
30
35

If the mode of the following data is 7, the value of k is :
2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 13
2
3
4
7

The lower limit of the modal class of the following data is:
Class interval Frequency
0 - 10 5
10 - 20 8
20 - 30 13
30 - 40 7
40 - 50 6
10
20
30
40

The relation connecting the measures of central tendency is:
Mode = 2 Median - 3 Mean
Mode = 3 Median - 2 Mean
Mode = 2 Median + 3 Mean
Mode = 3 Median + 2 Mean

Find the median of the data it being given that mode = 12.3 and mean = 10.5
10.6
10.8
11.1
11.4