Question: How do you solve for the mode of the grouped data in example 2 Answer: The mode is the group which has the highest frequency in it.All you need to do is to look for the group that has the highest frequency.
This is because the mode is the number that comes up the most times. ![]() So just remember to look for the group with the highest frequency. Lets take a look at some examples that involve finding the modal class from a grouped frequency table. Example 1 The frequency table shows the weights of some patients a doctors surgery. So all you need to do is look for the group that contains the highest frequency. There were 45 people who had a weight between 75kg and 95kg so this will be the modal group. Example 2 The frequency table shows the race times of a group of athletes who took part in a 400m race. Like the last example all you need to do is look at the frequency column and pick out the group that contains the highest frequency. However, in this example there are two groups with the same frequency 9 people completed the race in a time 50 seconds up to 55 seconds and also 9 people completed the race in a time 55 up to 60 seconds. Therefore the modal class intervals are 50 up to 55 and 55 up to 60. So as you can see working out the modal class interval is very quick and easy to do. However, working out the mean and median can be harder to work out (see below for help on finding the mean and median from a frequency table). Questions Answers Question: What is the modal class if the frequency numbers are 8, 19, 7, 4, 1 Answer: You will be looking for the group with the highest frequency. Question: What is the modal class if frequency numbers are 2,5,7,3,6,2,0,1 Answer: It will be the group containing the 7, as 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 group containing the highest frequency, so since 8 is the highest frequency then it will be this group. Question: What is the modal class interval if the frequency numbers are 3, 6, 10, 12, 9 Answer: It will be the group containing the highest frequency. ![]() Question: What is the modal score for 25,15,30,40,10 Answer: It will be the score with the highest frequency. So since 40 is the highest frequency, then it will be the group corresponding to this number. Question: What is the modal class if the frequency number is 2, 1, 4, 3 Answer: The modal class is the group containing the highest frequency. Since 4 is the highest number it will be the grup matching this. Question: What is the modal class if frequency numbers are 7,13,15,6,17,12 Answer: The modal class is the group with the highest frequency.
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