Question

note: the following questions pertain to the set of 13 quiz scores below:
7 9 6 5 9 7 8 5 10 7 8 3 7
please answer the following twelve questions about this data set.
#19 what is the mean of this data set?
(a) 5 (b) 6 (c) 7 (d) 8 (e) none of these
#20 what is the median of this data set?
(a) 5 (b) 6 (c) 7 (d) 8 (e) none of these
#21 what is the mode of this data set?
(a) 5 (b) 6 (c) 7 (d) 8 (e) none of these
#22 what is the range for this data set?
(a) 6 (b) 7 (c) 8 (d) 9 (e) none of these
#23 what is the midrange of this data set?
(a) 5.5 (b) 6.5 (c) 7.5 (d) 8.5 (e) none of these

Explanation:

Step1: Calculate sum of scores

Sum = 7+9+6+5+9+7+8+5+10+7+8+3+7 = 91

Step2: Find mean (sum/n)

Mean = $\frac{91}{13}$ = 7

Step3: Sort scores

Sorted: 3,5,5,6,7,7,7,7,8,8,9,9,10

Step4: Find median (7th value)

Median = 7

Step5: Find mode (most frequent value)

Mode = 7 (appears 4 times)

Step6: Find range (max-min)

Range = 10-3 =7

Step7: Find midrange ((max+min)/2)

Midrange = $\frac{10+3}{2}$ =6.5

Answer:

C. 7
C. 7
C. 7
B. 7
B. 6.5