Question

tony’s teacher lets students pick whether to use the median, mean, or mode as their final grade. tony’s grades are listed in the box.
88, 90, 92, 80, 75, 90
which statement is true?
tony’s median score will give him the highest grade.
tony’s mode score will give him the highest grade.
tony’s median and mode score give him the same grade.
tony’s median and mean score give him the same grade.

Explanation:

Step1: Calculate the mean

Mean = $\frac{88 + 90 + 93 + 94 + 75 + 90}{6} = \frac{530}{6} \approx 88.33$

Step2: Find the median

Sort grades: 75, 88, 90, 90, 93, 94. Median = $\frac{90 + 90}{2} = 90$

Step3: Identify the mode

Mode is the most frequent value: 90

Step4: Compare values

Mean ≈ 88.33, Median = 90, Mode = 90

Answer:

Tony's median and mode score give him the same grade.