Identify the modal class, the upper limit of the modal class and the lower limit of the modal class for the given data:
$\begin{matrix} Age(in years) & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 Number of patients & 6 & 11 & 21 & 23 & 14 & 5 \end{matrix}$

15-25, 11, 21

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35-45, 45, 35

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35-45, 35, 45

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15-25, 11, 21

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Solution

The correct option is B
35-45, 45, 35

The class with the maximum frequency is the modal class, which is 35-45 for the given data with a frequency of 23. The lower limit is 35 and the upper limit is 45.

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Similar questions

Q. Identify the modal class, the upper limit of the modal class and the lower limit of the modal class for the given data:

\begin{matrix} A g e (i n y e a r s) & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 N u m b e r o f p a t i e n t s & 6 & 11 & 21 & 23 & 14 & 5 \end{matrix}

The modal value will be closer to the lower limit of the modal class if the preceding class has a higher frequency than the succeeding class.

Q. Find the sum of lower limit of the modal class and upper limit of modal class from the following frequency distribution table for the given data:

Class	Frequency
$10 - 20$	$1$
$20 - 30$	$3$
$30 - 40$	$5$
$40 - 50$	$9$
$50 - 60$	$7$
$60 - 70$	$3$

In the formula for finding mode of a grouped data,

Mode = $X + (\frac{A - B}{2 A - B - C}) \times h$

$\begin{matrix} i) X & a) f r e q u e n c y o f t h e c l a s s p r e c e d i n g t h e m o d a l c l a s s i i) A & b) L o w e r l i m i t o f t h e m o d a l c l a s s i i i) B & c) frequency of the class succeeding the modal class i v) C & d) f r e q u e n c y o f t h e m o d a l c l a s s \end{matrix}$

Match the options.

Q. The lower limit of the modal class of the following data is :

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Standard X Mathematics

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Identify the modal class, the upper limit of the modal class and the lower limit of the modal class for the given data: Age(in years)5−1515−2525−3535−4545−5555−65Number of patients6112123145

The correct option is B 35-45, 45, 35 The class with the maximum frequency is the modal class, which is 35-45 for the given data with a frequency of 23. The lower limit is 35 and the upper limit is 45.

Identify the modal class, the upper limit of the modal class and the lower limit of the modal class for the given data:
$\begin{matrix} Age(in years) & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 Number of patients & 6 & 11 & 21 & 23 & 14 & 5 \end{matrix}$

The correct option is B
35-45, 45, 35

The class with the maximum frequency is the modal class, which is 35-45 for the given data with a frequency of 23. The lower limit is 35 and the upper limit is 45.