julian and nina are playing a game. their scores for five games are shown in the table below. julians and…

julian and nina are playing a game. their scores for five games are shown in the table below. julians and ninas scores julians scores 42 41 46 50 38 ninas scores 47 27 45 32 49 which statement comparing the medians to the ranges is true? the medians differ by 3, but the ranges differ by 10. the medians differ by 3, but the ranges differ by 2. the medians differ by 1, but the ranges differ by 10. the means differ by 1, but the ranges differ by 2.

julian and nina are playing a game. their scores for five games are shown in the table below. julians and ninas scores julians scores 42 41 46 50 38 ninas scores 47 27 45 32 49 which statement comparing the medians to the ranges is true? the medians differ by 3, but the ranges differ by 10. the medians differ by 3, but the ranges differ by 2. the medians differ by 1, but the ranges differ by 10. the means differ by 1, but the ranges differ by 2.

Answer

Explanation:

Step1: Arrange Julian's scores in order

$38,41,42,46,50$. The median is the middle - value. Since there are 5 values, the median of Julian's scores is $42$. The range is $50 - 38=12$.

Step2: Arrange Nina's scores in order

$27,32,45,47,49$. The median is the middle - value. Since there are 5 values, the median of Nina's scores is $45$. The range is $49 - 27 = 22$.

Step3: Calculate the difference in medians and ranges

The difference in medians is $|45 - 42|=3$. The difference in ranges is $|22 - 12| = 10$.

Answer:

The medians differ by 3, but the ranges differ by 10.