Question

ernie and lori are playing a game. the table shows their scores for 5 times they have played the game. which statement is true? game scores

game	ernie	lori
2	24	22
3	17	18
4	19	14
5	17	18	the medians are equal. ernie has the greater mode. ernie has the greater range. the means are equal.

Explanation:

Step1: Arrange Ernie's scores in ascending order

17, 17, 18, 19, 24. Median is 18.

Step2: Arrange Lori's scores in ascending order

14, 16, 18, 18, 22. Median is 18.

Step3: Check mode

Ernie's mode is 17, Lori's mode is 18. Lori has greater mode.

Step4: Calculate range

Ernie's range: $24 - 17=7$. Lori's range: $22 - 14 = 8$. Lori has greater range.

Step5: Calculate mean

Ernie's mean: $\frac{18 + 24+17+19+17}{5}=\frac{95}{5}=19$. Lori's mean: $\frac{16 + 22+18+14+18}{5}=\frac{88}{5}=17.6$. Means are not equal.

Answer:

The medians are equal.