Adata set includes the entries 2, 4, 5, 7, 7, and 10. complete the data set with an entry between 1 and 10 so that the median and mode of the set are equal.

It can be any digit between 7, 8 and 9.

Step-by-step explanation:

The given data set is: 2, 4, 5, 7, 7, 10

Here mode is 7, So we have to make our median equal to 7.

If one more data point will be included in the data set then we will have an odd number of observations.

For getting a median equal to 7 we have to add a number between 7 and 10 or it can be equal to 7.

Now, if we add any data points between 7, 8 and 9 then our median and mode will equal to 7.

Hence, the any one number between 7, 8 and 9 can be included in given data set to get both median and mean equal.

Further, the Median is the middle observation of the given data. It can be found by following steps:

Arranging data in ascending or descending order.

Taking the average of the middle two values if the total number of observations is even, and this average is our median.

or, if we odd number of observation then the most middle value is our median.

The mode is the observation which has a high number of repetitions (frequency).

answer:

step-by-step explanation: