Finding the modal class from a grouped frequency table is actually quite easy to do. Every you have to do is to look because that the team that has the greatest frequency. This is due to the fact that the setting is the number that comes up the many times. Make sure you write the team down and also not the frequency. If you carry out this you will not score any marks. In many exams finding the modal course will just be precious one note as over there is no functioning out come show. So simply remember to look for the team with the highest frequency.

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Let’s take it a look in ~ some examples that involve finding the modal class from a grouped frequency table.

**Example 1**

The frequency table reflects the weights of part patients a medical professionals surgery. 13 people have a weight 60kg as much as 70kg, 2 civilization have a load 70kg approximately 75kg, 45 people have a weight 75kg as much as 95kg and also 7 people have a weight 95 up to 100kg. Create down the modal class interval.

So every you need to do is look because that the team that has the greatest frequency. There were 45 civilization who had actually a weight in between 75kg and also 95kg so this will be the modal group.

Therefore the modal class interval is 75kg as much as 95kg.

**Example 2**

The frequency table shows the gyeongju times the a team of athletes that took component in a 400m race. 6 human being completed the 400m gyeongju in a time 45 seconds up to 50 seconds, 9 people completed the race in a time 50 secs up come 55 seconds, 9 human being completed the gyeongju in a time 55 seconds up come 60 seconds and also the remaining 3 athletes completed the gyeongju in a time that 60 up to 65 seconds. Occupational out the modal class interval because that these race times.

Like the last example all you have to do is look in ~ the frequency column and also pick the end the team that contains the greatest frequency. However, in this instance there room two groups with the very same frequency – 9 human being completed the gyeongju in a time 50 seconds up to 55 secs and likewise 9 human being completed the gyeongju in a time 55 approximately 60 seconds. Therefore, there space two modal classes (known as bimodal).

Therefore the modal class intervals space 50 up to 55 and also 55 approximately 60.

So as you have the right to see functioning out the modal class interval is very quick and easy come do. However, functioning out the mean and also median deserve to be more tough to work out (see listed below for assist on detect the mean and also median native a frequency table).

## Questions & Answers

**Question:** What is the modal course if the frequency numbers are 8, 19, 7, 4, 1?

**Answer:** You will certainly be looking for the team with the highest possible frequency. For this reason this will certainly be the group equivalent to 19.

**Question:** What is the modal class if frequency numbers are 2,5,7,3,6,2,0,1?

**Answer:** It will certainly be the group containing the 7, together 7 is the highest frequency.

**Question:** What is the modal class if the frequency numbers are 0,4,2,7,8,1?

**Answer:** It will be the team containing the greatest frequency, so due to the fact that 8 is the highest possible frequency climate it will certainly be this group.

**Question:** What is the modal score for 25,15,30,40,10?

**Answer:** It will certainly be the score v the greatest frequency. So because 40 is the greatest frequency, then it will certainly be the group equivalent to this number.

**Question:** What is the modal class interval if the frequency numbers space 3, 6, 10, 12, 9?

**Answer:** It will certainly be the group containing the greatest frequency.

So the modal team will it is in the one that has actually 12 together the frequency.

**Question:** What is the modal course if the frequency numbers room 18, 20, 22 , 24 ,26?

**Answer:** The modal group is the group containing the biggest frequency i m sorry is the group corresponding to 26.

**Question:** What if the modal class is the an initial or the critical one?

**Answer:** neither of them, the modal is the team which has actually the greatest frequency number.

**Question:** exactly how do you deal with for the setting of the group data in instance 2?

**Answer:** The setting is the team which has actually the greatest frequency in it.

In instance 2 there space two groups which save the highest frequency, therefore is bimodal.

**Question:** exactly how to find mode on grouped data through 2 modal classes?

**Answer:** The answer will certainly be both this groups, it will certainly be bimodal.

**Question:** What is the modal class if the frequencies are 14,9,11,2,14?

**Answer:** There will be two team for the modal course (Bimodal).

These will be the groups matching to the 14.

**Question:** What is the modal course if the frequency numbers space 3,2,7,8,0?

**Answer:** The modal course is the group with the highest frequency.

So it will be the group equivalent the 8.

**Question:** What is the modal course if frequency numbers space 7,13,15,6,17,12?

**Answer:** The modal class is the team with the highest frequency.

So it will be the group corresponding to 17.

**Question:** What is the setting if the frequency: 20,12,15,14,11,9,13, and also 6?

**Answer:** The setting will it is in the team with the greatest frequency.

20 is the highest possible frequency in this list, so it will be the group corresponding to the 20.

**Question:** What is the modal course if the frequency number is 2, 1, 4, 3?

**Answer:** The modal class is the group containing the highest possible frequency.

Since 4 is the greatest number it will certainly be the grup corresponding this.

**Question:** how should we address a inquiry that entails two modal class intervals?

**Answer:** You will certainly write both groups down as the prize is bimodal.

**Question:** What is the modal class if the frequency numbers room 7,3,3,5,3,7,2? Kindly explain how come compute because that the mean.

**Answer:** The modal class is the team with the greatest frequency.

In this case, that is the two groups corresponding to 7.

To job-related out the typical you will have to multiply the midpoint the each group by the frequency, include this shaft up, and also divide the price by the total frequency.

**Question:** What is the modal weight if the frequency numbers room 3,6,5,1?

**Answer:** It will certainly the load which matches with the 6, as 6 is the greatest frequency number.

**Question:** What is the modal class if frequency numbers space 1, 3, 8, 11, 11, 9, 5 and also 2?

**Answer:** There will certainly be two settings (bi modal).

The two groups corresponding to the 11's.

**Question:** 6,30,40,16,4,4. Discover the mode?

**Answer:** The setting is the group corresponding 40.

**Question:** What is the modal course if the frequency numbers space 5, 8, 12, 13, 11?

**Answer:** The group equivalent to 13.

**Question:** If the the very least mark derived in the background test is 18%, and the variety of the marks was 70%. What was highest possible mark score in the background test?

**Answer:** Just include 70 % and 18% to give 88%.

**Question:** What is the modal class interval if the frequency numbers space 2,8,9,7,4?

**Answer:** The modal group is the one which has actually the highest possible frequency linked with it.

So due to the fact that 9 is the highest possible number, climate it will certainly be the group matching the 9.

**Question:** how to solve mode in the frequency table?

**Answer:** Look for the highest frequency in the table, and also the group or value corresponding to this will certainly be the mode.

**Question:** What is the modal class if the frequency numbers room 12,10,16,20,18,14,6,4 ?

**Answer:** 20 is the largest number, therefore the group corresponding to the 20 in the frequency table will certainly be the modal class.

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## Comments

**Evidence Kudzotsa** on April 17, 2019:

why is it that the upper course limit that the first class is likewise the lower course limit of the following class. Follow to the example given, the great are favor this 40-50, 50-55, 55-60, lets say for circumstances someone weighs 50kgs, will certainly that human being be in the course of 40-50 or in the class of 50-55? I initially thought that classes must be like this 30-39,40-49,50-59 etc, this help to avoid members to belong to more than 1 class. You re welcome kindly assist.