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Answer :
The mode and median of the heights of 10 college students are both 163 cm, calculated by identifying the most frequent value for the mode and the middle value for the median in an ordered data set.
The question involves finding the mode and median of a given set of data for the height of 10 students. To find the mode, we look for the number that appears most frequently in the data set. To find the median, we order the data from smallest to largest value and then select the middle value if there is an odd number of values, or the average of the two middle values if there is an even number of values.
- First, order the data: 161, 162, 162, 163, 163, 163, 163, 163, 164, 165.
- The mode is the value that appears most often, which in this case is 163 cm, as it appears 5 times.
- To find the median, since there are 10 data points (an even number), we take the average of the 5th and 6th values: Median = (163 + 163) / 2 = 163 cm.
Therefore, the mode of the heights is 163 cm, and the median is also 163 cm.
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