Question

The shoe sizes of a group of middle school girls are shown. 5.5 6 7 8.5 6.5 6.5 8 7.5 8 5 If a shoe size of 9 is added to the data, how does the median change? The median stays 6.75. The median increases to 6.75. The median stays 7. The median increases to 7.

Answer 1

Answer: The median increases to 7.

Step-by-step explanation: I took the test and got a 100%

Answer 2

The median is the middle value when a set of data is arranged in order from smallest to largest.

First, let's arrange the given shoe sizes in order:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5

The median of this data set is 6.5 because it is the middle value.

Now, let's add a shoe size of 9 to the data set:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9

The new median of this data set is 7, which is greater than the previous median of 6.5.

Therefore, the answer is: The median increases to 7.