Question

find the range of the data.

1. ages of the players on a softball team: 36, 44, 37, 41, 35, 42, 38, 43, 41, 38

a. 44 b. 6 c. 35 d. 9

1. the oceanography club sold art calendars in order to raise money. the table lists the number of calendars each member sold during the first two weeks of the sale.

week 1 5 15 20 6 22 24 28 28
week 2 15 15 2 20 5 27 2 28
find the range of the data.
a. 23 b. 26 c. 22 d. 28
find the mean, median, mode(s), and range of the data.

1. 16, 22, 14, 12, 20, 19, 14, 11

a. mean: 16
median: 16
mode: 14
range: 11
c. mean: 16
median: 14
mode:15
range: 11
b. mean: 16
median: 16
mode: 14
range: 5
d. mean: 16
median: 15
mode: 14
range: 11
matching
match the definition with the correct vocabulary word below.
a. the average of a data set
c. the value or values that occur most often in the data set.
b. the difference between the greatest and d. the middle value in the data set when the least value in the data set. values are listed in numerical order.

1. median
2. mean
3. mode
4. range

Explanation:

7.

Step1: Find the maximum value

The data set of players' ages is \(36, 44, 37, 41, 35, 42, 38, 43, 41, 38\). The maximum value \(max = 44\).

Step2: Find the minimum value

The minimum value \(min=35\).

Step3: Calculate the range

The range \(R=max - min\), so \(R = 44-35=9\).

Step1: Combine the data

The combined data set of calendars sold is \(5,15,20,6,22,24,28,28,15,15,2,20,5,27,2,28\).

Step2: Find the maximum value

The maximum value \(max = 28\).

Step3: Find the minimum value

The minimum value \(min = 2\).

Step4: Calculate the range

The range \(R=max - min\), so \(R=28 - 2=26\).

Step1: Calculate the mean

The data set is \(16,22,14,12,20,19,14,11\). The sum \(S=16 + 22+14+12+20+19+14+11=128\), and there are \(n = 8\) data - points. The mean \(\bar{x}=\frac{S}{n}=\frac{128}{8}=16\).

Step2: Arrange the data in ascending order

The ordered data set is \(11,12,14,14,16,19,20,22\).

Step3: Calculate the median

Since \(n = 8\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values. The \(\frac{n}{2}=4\)th value is \(14\) and the \((\frac{n}{2}+1)=5\)th value is \(16\). The median \(M=\frac{14 + 16}{2}=15\).

Step4: Find the mode

The mode is the value that appears most frequently. The number \(14\) appears twice, and other numbers appear once, so the mode \(Mo = 14\).

Step5: Calculate the range

The maximum value \(max = 22\) and the minimum value \(min = 11\). The range \(R=max - min=22-11 = 11\).

Answer:

d. 9

8.