Write the modal class for the following frequency distribution-Class-interval-y - - 10-15 15-20 20-25 25-30 30-35 35-40- 30 35 75 40 30 15 - Frequency-

Class Interval 10 minus;15 15 minus;20 20 minus;25 25 minus;30 30 minus;35 35 minus;40 ...

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Standard X

Mathematics

Finding Mode for Ungrouped Data

Write the mod...

Question

Write the modal class for the following frequency distribution:

Class-interval: 10−15 15−20 20−25 25−30 30−35 35−40

Frequency: 30 35 75 40 30 15

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Solution

Class Interval 10−15 15−20 20−25 25−30 30−35 35−40

Frequency 30 35 75 40 30 15

Here, the maximum frequency is 75 and the corresponding class-interval is 20−25.

Therefore, 20−25 is the modal class.

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Similar questions

Q. Calculate the arithmetic mean, standard deviation and variance from the following distribution:

Class	:	0-5	5-10	10-15	15-20	20-25	25-30	30-35	35-40
Frequency	:	2	5	7	13	21	16	8	3

Q. Find the mode of the following distribution.

(i)

Class-interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency:	5	8	7	12	28	20	10	10

(ii)

Class-interval:	10−15	15−20	20−25	25−30	30−35	35−40
Frequency:	30	45	75	35	25	15

(iii)

Class-interval:	25−30	30−35	35−40	40−45	45−50	50−55
Frequency:	25	34	50	42	38	14

(iv)

Class:	0−10	10−20	20−30	30−40	40−50	50−60	60–70
Frequency:	8	10	10	16	12	6	7

Question 102

Draw a histogram for the following data. ?
$\begin{matrix} C l a s s i n t e r v a l & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 F r e q u e n c y & 30 & 98 & 80 & 58 & 29 & 50 \end{matrix}$

Q. Calculate the median from the following frequency distribution:

\begin{matrix} Class & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 & 25 - 30 & 30 - 35 & 35 - 40 & 40 - 45 Frequency & 5 & 6 & 15 & 10 & 5 & 4 & 2 & 2 \end{matrix}

Q. Write the median class for the following frequency distribution:

Class-interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency:	5	8	7	12	28	20	10	10

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Class Interval	10−15	15−20	20−25	25−30	30−35	35−40
Frequency	30	35	75	40	30	15

Write the modal class for the following frequency distribution: Class-interval: 10−15 15−20 20−25 25−30 30−35 35−40 Frequency: 30 35 75 40 30 15

Class Interval 10−15 15−20 20−25 25−30 30−35 35−40 Frequency 30 35 75 40 30 15 Here, the maximum frequency is 75 and the corresponding class-interval is 20−25. Therefore, 20−25 is the modal class.

Write the modal class for the following frequency distribution:

Class-interval: 10−15 15−20 20−25 25−30 30−35 35−40

Frequency: 30 35 75 40 30 15

Class Interval 10−15 15−20 20−25 25−30 30−35 35−40

Frequency 30 35 75 40 30 15

Here, the maximum frequency is 75 and the corresponding class-interval is 20−25.

Therefore, 20−25 is the modal class.