Business Statistics Assignment (Total 40 Points) Question 1: (10 Points) Find th

ID: 3142400 • Letter: B

Question

Business Statistics Assignment (Total 40 Points) Question 1: (10 Points) Find the mean, median and mode of the following Presto Printing Company sales for the month of February (NOTE: The company is closed on Sundays.) February 2: $4,694 February 11: $3,198 February 20: $5,980 February 3: $5,964 February 21: $3,209 February 12: $2,198 February 4: $3,309 Hebruary 13: $6,287 February 23: $6,541 February 5: $3,106 February 14: $1,123 February 24: $3,098 February 6: $7,124 February 16: $4,598 February 25: $4,598 February 17: $3,987 February 26: $4,873 February 7: $2,149 February 9: $3,123 February 18: $3,009 February 27: $9,876 February 19: $3,098 February 28: $5,878 February 10: $4,128 Question 2: (20 Points) a) Set up a frequency distribution table and calculatethe relative frequency for the following quiz scores that Matt achieved in his Algebra course: Matt's Quiz Scores: 85, 88, 92, 71, 100, 78, 61, 61, 89, 99, 100, 65, 98, 85, 92, 79, 81 85, 100, and 100 Use the following frequency intervals 61-70 71 80 81 90 91 100 b) Calculate the variance and standard deviation for Matt's quiz scores. Suggestion: set the problem up in steps within a table like the textbook illustrates

Explanation / Answer

Solution

The given values are arranged in ascending order as shown below:

1123

2149

2198

3009

3098

3106

3123

3198

3209

3309

3987

4128

4598

4694

4873

5878

5964

5980

6287

6541

7124

9876

Mean = total of values/number of values = 105148/24 = 4381.17 ANSWER 1

Median = average of the two middle values in the set of values after arranging in ascending order

= (3987 + 4128)/2 = 4057.5 ANSWER 2 [since total number of values is 24, which is even, average is taken]

Mode = the value(s) which has(have) maximum frequency:

From the above figures, we find that both 3098 and 4598 occur maximum number of times (twice each). Hence, the modes are: 3098 and 4598 ANSWER 3