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What is the mode or median of the following values: 120, 135, 140, 118, 175, 105, 115, 190?

1) 135
2) 118
3) 127.5
4) 175

Answer :

Final answer:

The median of the given values (120, 135, 140, 118, 175, 105, 115, 190) is 127.5, calculated as the mean of the two middle numbers after arranging the set in ascending order. There is no mode as no number repeats.

Explanation:

To find the mode or median of the given values (120, 135, 140, 118, 175, 105, 115, 190), we first need to understand what these terms mean. The mode is the value that appears most frequently in a data set, while the median is the middle number when a data set is ordered from least to greatest. For the median, since we have an even number of values, we will calculate it by finding the mean of the two middle numbers after arranging the data set in ascending order.

Arranging the data set in ascending order gives us: 105, 115, 118, 120, 135, 140, 175, 190. Now, to find the median, we take the average of the middle two numbers, which are 120 and 135.

Therefore, the median is: (120 + 135) / 2 = 127.5.

Looking through the data, there is no number that repeats, so there is no mode for this set of values.

So, the median is 127.5 and there is no mode among the provided values.

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