The table shows information about the numbers of hours 30 childrenspent on their tablets one evening.a) Find the class interval that contains the median.
Mathematics · Middle School · Thu Feb 04 2021
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To find the class interval that contains the median for the hours spent on tablets by the 30 children, we'll have to follow these steps:
1. Understand the median: The median is the value separating the higher half from the lower half of a data sample. For a dataset with an odd number of observations, it is the middle number. For an even number of observations, it is the average of the two middle numbers.
2. Locate the median position: Since there are 30 children, there are an even number of data points. To find the median position, we take the total number of observations (30), add 1, and then divide by 2. That gives us (30 + 1) / 2 = 15.5. Therefore, we take the average of the 15th and 16th values to find the median.
3. Organize the data if necessary: Usually, in a frequency table, the data is organized in class intervals (or bins). You need to ensure that data is sorted in ascending order based on the class intervals.
4. Find the class interval: Add the frequencies cumulatively until you reach or pass the position of the median (in this case, the 15th and 16th positions). The class interval where this cumulative frequency encompasses the 15th and 16th values will be the one containing the median.
Since the table is not provided here, I can’t give you the exact class interval, but you would be looking for the first class interval where the cumulative frequency is 16 or higher. That interval will contain the median.