Answer the following questions:

1. Find each value requested for the distribution of the score in table 1. (3 pts)
   1. N
   2. ΣX
   3. ΣX2

1. For the following scores, the smallest value is X=13 and the largest value is X=52. Place the scores in a grouped frequency distribution table. Use the steps to guide you. (3 pts)

Scores: 44, 19, 23, 17, 25, 47, 32, 26, 25, 30, 18, 24, 49, 51, 24, 13, 43, 27, 34, 16, 52, 18, 36, 25

Steps:

1. 1. 1. Determine the range of scores:
         highest score – lowest score
      2. Determine the number of rows:
         range +1 = highest score – lowest score + 1
      3. Use systematic trail-and-error to identify the width of the interval with the aim of having about 10 rows/class intervals:
         number of rows divided by 2, 5, 10, or 20 à look for number close to 10
      4. Identify the lowest score in the data
      5. Construct the class interval by ensuring that the bottom of the class interval is a multiple of the width and the smallest class includes the lowest score in the data
      6. Construct the table:
         1. First column lists the class intervals from highest to lowest. The column heading is labeled X
         2. Beside each class interval indicate the number of individuals (frequency) located in that class interval. The column heading is labeled f.

1. A set of scores has been organized into the following stem and leaf display.

4|8
5|421
6|3824
7|592374
8|24316
9|275

1. 1. How many scores are in the 70s? (0.5 pts)
   2. Identify the individual scores in the 50s. (0.5 pts)
   3. Is 97 a score in this set? (0.5 pts)
   4. is 21 a score in this set? (0.5 pts)

1. Construct a stem and leaf display for the following scores (2 pts)

Scores:

18, 25, 19, 36, 28, 37, 4, 10, 6, 17, 19, 27, 39, 9, 25, 18, 8, 26, 37, 10