3 If the median of the following data is 32-5- find the missing frequencies-Class interval-0 Total 0 0 - 0-10 10-20 20-30 30-40 40-50 50-60 60-70- f1 5 9 12 f2 3 2 - Frequency-40

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Standard X

Mathematics

Finding Median for Grouped Data When Class Intervals Are Given

3 If the medi...

Question

If the median of the following data is 32.5, find the missing frequencies.

Class interval: 0−10 10−20 20−30 30−40 40−50 50−60 60−70 Total

Frequency: f₁ 5 9 12 f₂ 3 2 40

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Solution

Given: Median = 32.5

We prepare the cumulative frequency table, as given below.

Now, we have

.....(1)

Also,

Since median = 32.5 so the median class is .

Here,

We know that

Putting the value of in (1), we get

Hence, the missing frequencies are 3 and 6.

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Similar questions

If the median of the following data is $32.5,$ find the missing frequencies.
$\begin{matrix} Class Interval : & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 & Total Frequency: & f_{1} & 5 & 9 & 12 & f_{2} & 3 & 2 & 40 \end{matrix}$

Q. If the median of the following frequency distribution is

28.5

, then find the missing frequencies.

Class interval:	0-10	10-20	20-30	30-40	40-50	50-60	Total
Frequency:	$5$	$f_{1}$	$20$	$15$	$f_{2}$	$5$	$60$

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

Q. Write the median class of the following distribution:

Class-interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70
Frequency:	4	4	8	10	12	8	4

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

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If the median of the following data is 32.5, find the missing frequencies. Class interval: 0−10 10−20 20−30 30−40 40−50 50−60 60−70 Total Frequency: f1 5 9 12 f2 3 2 40

Given: Median = 32.5 We prepare the cumulative frequency table, as given below. Now, we have .....(1) Also, Since median = 32.5 so the median class is . Here, We know that Putting the value of in (1), we get Hence, the missing frequencies are 3 and 6.

If the median of the following data is 32.5, find the missing frequencies.

Class interval: 0−10 10−20 20−30 30−40 40−50 50−60 60−70 Total

Frequency: f₁ 5 9 12 f₂ 3 2 40

Given: Median = 32.5

We prepare the cumulative frequency table, as given below.

Now, we have

.....(1)

Also,

Since median = 32.5 so the median class is .

Here,

We know that

Putting the value of in (1), we get

Hence, the missing frequencies are 3 and 6.