Question

On this week's homework assignments, Lydia had scores of 85, 78, 92, 98, and 85. Which measure of central tendency would give Lydia the highest score so she could show her teacher that she really understood her assignments?

Answer 1

Answer: Mean

Step-by-step explanation:

The given data :  85, 78, 92, 98, 85.

We know that there are three main measures of central tendency : -

1) mode, 2)  median 3) mean

1) Mode of the given data = Most repeated number = 85

2) For median first arrange the given data in order :-

78, 85, 85, 92, 98

Now, Median = Middlemost number = 85

3) $\text{Mean =}\dfrac{\text{Sum of all observations}}{\text{Number of observations}}\\\\\Rightarrow\ \text{Mean =}\dfrac{438}{5}=87.6$

We can see that mean is giving the highest score (87.6) so she could show her teacher that she really understood her assignments.

Answer 2

Mean because the average of the scores is 87.6 which is higher than mode, 85 and the median, 85 as well.