# Show all your work to get full credit

*label*Mathematics

*timer*Asked: Dec 2nd, 2017

*account_balance_wallet*$10

**Question description**

(__Show all your work to get full credit.__)

**1.** (16 pts) Supose your six exam grades in a course are

52, 69, 75, 86, 86, and 92

Compute your final course grade (90-100= A, 80-89 = B, 70-79 = C, 60-69 =D, below 60 = F) using the

a. Mean

b. Median

**2. **(16 pts) A teacher gives a 20-point test to 10 students. The scores are shown here. Find the percentile rank of a score of 12.

18, 15, 12, 6, 8, 2, 3, 5, 20, 10

**3. **(16 pts) The number of meteorites found in 10 of the United States is

89, 47, 164, 296, 30, 215, 138, 78, 48, and 39

Construct a boxplot for the data.

**4. **(18 pts) Find the sample variance and standard deviation for the amount of European autosales for a sample of 6 years shown. The data are in millions of dollars.

11.2, 11.9, 12.0, 12.8, 13.4, 14.3

**5. **(16 pts) How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas to be presented during the year?

**6. **(18 pts) In a club there are 7 women and 5 men. A committee of 3 women and 2 men is to be chosen. How many different possibilities are there?

## Tutor Answer

Here is my answer :)

(Show all your work to get full credit.)

1. (16 pts)

Supose your six exam grades in a course are

52, 69, 75, 86, 86, and 92

Compute your final course grade (90-100= A, 80-89 = B, 70-79 = C, 60-69 =D, below 60 = F)

using the

a. Mean

๐๐๐๐ =

52 + 69 + 75 + 86 + 86 + 92

6

๐๐๐๐ =

460

= 76.7

6

From the final course grade the mean = 76.7 should be a C.

b. Median

๐๐๐๐๐๐ = 52 + 69 + 75 + 86 + 86 + 92

๐๐๐๐๐๐ =

75 + 86

= 80.5

2

From the final course grade the median = 80.5 should be a B.

A teacher gives a 20-point test to 10 students. The scores are shown here. Find the

percentile rank of a score of 12.

2. (16 pts)

18, 15, 12, 6, 8, 2, 3, 5, 20, 10

2, 3, 5, 6, 8, 10, 12, 15, 18, 20

Percentile 70 = 12

We have 10 dates, every date represent 10%

So,

Percentile 10= 2

Percentile 20= 3

Percentile 30= 5

Percentile 40= 6

Percentile 50= 8

Percentile 60= 10

Percentile 70= 12

3. (16 pts)

The number of meteorites found in 10 of the United States is

89, 47,...

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