Question

The players on a soccer team sold coupon cards to raise money for new uniforms. One player was also a statistics student and recorded how many cards her friends sold. Here are the data: 3, 5, 9, 4, 6, and 8. What is the median number of cards sold by her friends?

a) 4.5
b) 5
c) 6
d) 7

Answer 1

The median number of cards sold by her friends is 5 (option b).

Step-by-step explanation:

Order the data from least to greatest: 3, 4, 5, 6, 8, 9.

Since we have 6 data points, the median is the middle number: 3, 4, 5, 6, 8, 9.

Therefore, the median number of cards sold is 5.

In conclusion, by arranging the number of cards sold in ascending order and identifying the middle value, we determined that the median number of cards sold by her friends was 5. This indicates that half of the players sold 5 or fewer cards, while the other half sold 5 or more.

Option B is answer.

Answer 2

The median number of coupon cards sold is found by arranging the sales numbers in order and then averaging the two middle numbers. The median in this case is 5.5, but this answer is not listed in the provided options.

Step-by-step explanation:

The student has provided data on the number of coupon cards sold by her friends: 3, 5, 9, 4, 6, and 8. To find the median number of cards sold, we first need to arrange the numbers in ascending order, which gives us 3, 4, 5, 6, 8, 9. Since there is an even number of data points, the median will be the average of the two middle numbers.

In this case, the two middle numbers are 5 and 6. To find the median, we add them together and divide by 2:

(5 + 6) / 2 = 11 / 2 = 5.5

Therefore, the median number of cards sold by her friends is 5.5, which is not listed in the options provided by the student. It seems there might be a small mistake in the provided options, as none of them matches the calculated median.