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

Question

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 1. 2 2. 3 3. 4 4. 7

KnowledgeBoat · Accepted Answer

Given, mode = 7 From above set of numbers : 6 and 7 occurs most of the time (3 times each). For 7 to be the mode, its frequency must be greater than that of 6. Therefore, the unknown expression 2k + 1 must be equal to 7. ⇒ 2k + 1 = 7 ⇒ 2k = 7 - 1 ⇒ 2k = 6 ⇒ k = ⇒ k = 3. 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

Class	Frequency
0 - 5	10
5 - 10	15
10 - 15	12
15 - 20	20
20 - 25	9

Mathematics

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

Measures of Central Tendency

Related Questions

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The mode of a frequency distribution can be determined graphically from :
Histogram
Frequency polygon
Ogive
Bar graph

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

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

Mathematics

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

Measures of Central Tendency

Related Questions

Average value of the median of 2, 8, 3, 7, 4, 6, 1 and the mode of 2, 9, 3, 4, 9, 6, 9 is:66.589

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

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

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

Average value of the median of 2, 8, 3, 7, 4, 6, 1 and the mode of 2, 9, 3, 4, 9, 6, 9 is:
6
6.5
8
9

The mode of a frequency distribution can be determined graphically from :
Histogram
Frequency polygon
Ogive
Bar graph

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

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