Question

Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why.
O A sample of seven admission test scores for a professional school are listed below:
a. 9.8
b. 9.9
c. 10.6
d. 9.8
e. 11.1
f. 10.1
g. 10.4
1. What is the median​ score?
2. Does the median represent the center of the​ data?
A. The median represents the center.
B. The median does not represent the center because it is the largest data value.
C. The median does not represent the center because it is the smallest data value.
D. The median does not represent the center because it is not a data value.
3. What is the mode of the​ scores?
4. Does​ (Do) the​ mode(s) represent the center of the​ data?
A. The​ mode(s) represent(s) the center.
B. The​ mode(s) does​ (do) not represent the center because it​(one) is the largest data value.
C. The​ mode(s) does​ (do) not represent the center because it​(one) is the smallest data value.
D. The​ mode(s) can't represent the center because it​ (they) is​(are) not a data value.

Answer 1

Answer:

1. Median = 10.1

2. A. The median represents the center.

3. D. The​ mode(s) can't represent the center because it​ (they) is​(are) not a data value.

Step-by-step explanation:

Mean of a sample = sum of the samples/no of the samples

Samples in increasing order:

9.8

9.8

9.9

10.1

10.4

10.6

11.1

Mode is the sample with highest frequency.

Median is the middle entry of the data.

Mean = (9.8 + 9.8 + 9.9 + 10.1 + 10.4 + 10.6 + 11.1)/7

= 717/7

= 10.243

Median = 10.1

Mode = 9.8 because it has the highest frequency of 2