# Statistics 3011 (Geyer, Spring 2006) Grades on Third Midterm

## Total Scores

```   Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
4.00   48.50   60.00   58.62   71.00   91.00

0 | 4
0 |
1 | 4
1 | 9
2 |
2 | 68
3 | 0014
3 | 778
4 | 14
4 | 6679
5 | 1133
5 | 56788899
6 | 00000222444
6 | 57788899
7 | 1112233
7 | 7899
8 | 0044
8 | 788
9 | 1
```

## Problem 1

56 of 68 got this right. 4 left it blank.

## Problem 2

36 of 68 got this right. 17 left it blank.

## Problem 3

57 of 68 got this right. 3 left it blank.

## Problem 4

64 of 68 got this right. 0 left it blank.

## Problem 5

65 of 68 got this right. 0 left it blank.

## Problem 6

54 of 68 got this right. 2 left it blank.

## Problem 7

32 of 68 got this right. 12 left it blank.

## Problem 8

25 of 68 got this right. 10 left it blank.

## Problem 9

```  -4 | 0
-2 | 000000000000000000
-0 |
0 | 000000000
2 | 0
4 | 00000
6 | 0000000000000000000000000000000000
```

## Problem 10

```  -4 | 000000
-2 | 0000000000000000000000000000000000000000000000
-0 |
0 | 00
2 |
4 | 000000000
6 | 00000
```

## Problem 11

```  -4 | 00
-2 | 0000000000000000000000000
-0 |
0 | 0
2 |
4 | 000
6 | 0000000000000000000000000000000000000
```

## Problem 12

```  -2 | 00000000000000000
-0 |
0 |
2 |
4 | 000
6 | 000000000000000000000000000000000000000000000000
```

## Problem 13

```   0 | 00
1 | 0000
2 | 00
3 | 0000
4 | 0000000000
5 | 000000000
6 | 000000
7 | 0000000000
8 | 00000000000000000
9 | 0
10 | 000
```

## Problem 14

```   0 | 00
1 |
2 |
3 |
4 | 00
5 |
6 | 0000
7 | 000000000000000000000000000
8 | 0
9 | 00
10 | 000000000000000000000000000000
```

## Problem 15

```   0 | 000
1 | 0000
2 | 00
3 |
4 | 000
5 | 0
6 | 00
7 | 0000000000
8 | 000000
9 | 00
10 | 00000000000000000000000000000000000
```

## Problem 16

```   0 | 0
1 |
2 |
3 | 000
4 | 00000
5 | 000000
6 | 0000
7 | 0000000000
8 | 00000000
9 | 0000000000000
10 | 000000000000000000
```

## Problem 17

```   0 | 00000000
1 | 0000
2 | 00000
3 | 000
4 | 0000
5 | 00000
6 | 00000000
7 | 00
8 | 0000000
9 | 0
10 | 000000000000000000000
```

## Problem 18

```   0 | 0000
1 | 0
2 | 000
3 | 00
4 | 0000
5 | 00000000
6 | 00000000
7 | 00000
8 | 00
9 | 00000
10 | 00000000000000000000000000
```

## How to Read the Grades

The grade distributions are shown as stem and leaf plots. For the distribution of the total scores, there is also a six number summary (from the R `summary` command).

### Summary

The summary

```   Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
46.00   76.00   84.00   82.67   92.00  100.00
```

shows the lowest score, first quartile, median, mean, third quartile, and highest score.

### Stem and Leaf

The distribution follows (produced by the R `stem` command).

#### Total Score

For total score, the decimal point is one place to the right of the vertical bar

```   4 | 69
5 | 0467
6 | 044778
7 | 66666668888
8 | 000222244444444888888
9 | 02222222222222222222
10 | 00000000
```

Hence to the left of the vertical bar are the leading digits of the grades. To the right of the vertical bar are the last digits of the grades. Each single digit on the right represents one grade.

The bottom line says there were 8 perfect scores (100). The next to bottom line says there was one 90 and nineteen 92 scores. And so forth.

#### Individual Question Scores

For individual questions, the decimal point is at the vertical bar

```  -4 | 0
-2 | 0000000000
-0 |
0 |
2 |
4 | 00
6 | 00000000000000000000000000000000000000000000000000000000000
```

The bottom line says there were 59 perfect scores (6). The next to bottom line says there were two 4 scores. And so forth.