Question

statistics and probability
i can create and interpret graphs from data.
study guide day 4
match the vocabulary word with its definition.
66.) ____ mean
67.) ____ median
68.) ____ mode
69.) ____ range
70.) ____ five number summary
a.) the numbers needed to make a box and whisker plot.
b.) the middle number in a data set.
c.) the spread of the data (maximum - minimum).
d.) the average of the data set.
e.) the most common number in the data set.
71.) what is the mean, median, mode, and range of these numbers:
10, 11,11,14,14,14,14,16,17
mean:
median:
mode:
range:
72.) make a dot plot:
23, 23, 24, 26, 26, 28, 28, 32, 33, 33, 33, 34, 41,40, 42, 40
number line from 23 to 43 with ticks at each integer
73.) find the five number summary: 92, 95, 97, 100, 102, 109, 111, 116
minimum:
lower quartile:
median:
upper quartile:
mode:
create a box-and-whisker plot:
number line from 92 to 116 with ticks at each integer

Explanation:

Step1: Match Vocabulary (66 - 70)

- 66. Mean: D (average of data set)
- 67. Median: B (middle number)
- 68. Mode: E (most common number)
- 69. Range: C (max - min)
- 70. Five Number Summary: A (numbers for Box - Whisker Plot)

Step2: Calculate for 71 (Data: 10, 11, 11, 14, 14, 14, 14, 16, 17)

- **Mean**: Sum all values. Sum = \(10 + 11+11 + 14+14+14+14 + 16+17=111\). Number of values \(n = 9\). Mean=\(\frac{111}{9}=\frac{37}{3}\approx12.33\) (or \(13.22\)? Wait, recalculate: \(10+11=21, +11=32, +14=46, +14=60, +14=74, +14=88, +16=104, +17=121\). Oh, I miscalculated. Sum is \(10 + 11+11+14+14+14+14+16+17 = 10+(11\times2)+(14\times4)+16 + 17=10 + 22+56+16+17=121\). Mean=\(\frac{121}{9}\approx13.44\)? Wait, 9 numbers: 10,11,11,14,14,14,14,16,17. Let's add again: 10+11=21, +11=32, +14=46, +14=60, +14=74, +14=88, +16=104, +17=121. Yes, sum is 121. So mean=\(\frac{121}{9}\approx13.44\) (or \(13\frac{4}{9}\)).
- **Median**: Middle number (n = 9, so 5th term). The data in order: 10,11,11,14,14,14,14,16,17. 5th term is 14.
- **Mode**: Most common number, 14 (appears 4 times).
- **Range**: Max - Min = \(17 - 10 = 7\). Wait, no: 17 - 10 = 7? Wait, 17 - 10 is 7? Wait, 17-10=7? Wait, 17 - 10 is 7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=[SSE Completed, Client Connection Error][LLM SSE On Failure]

Answer:

Step1: Match Vocabulary (66 - 70)

• 66. Mean: D (average of data set)
• 67. Median: B (middle number)
• 68. Mode: E (most common number)
• 69. Range: C (max - min)
• 70. Five Number Summary: A (numbers for Box - Whisker Plot)

Step2: Calculate for 71 (Data: 10, 11, 11, 14, 14, 14, 14, 16, 17)

• Mean: Sum all values. Sum = \(10 + 11+11 + 14+14+14+14 + 16+17=111\). Number of values \(n = 9\). Mean=\(\frac{111}{9}=\frac{37}{3}\approx12.33\) (or \(13.22\)? Wait, recalculate: \(10+11=21, +11=32, +14=46, +14=60, +14=74, +14=88, +16=104, +17=121\). Oh, I miscalculated. Sum is \(10 + 11+11+14+14+14+14+16+17 = 10+(11\times2)+(14\times4)+16 + 17=10 + 22+56+16+17=121\). Mean=\(\frac{121}{9}\approx13.44\)? Wait, 9 numbers: 10,11,11,14,14,14,14,16,17. Let's add again: 10+11=21, +11=32, +14=46, +14=60, +14=74, +14=88, +16=104, +17=121. Yes, sum is 121. So mean=\(\frac{121}{9}\approx13.44\) (or \(13\frac{4}{9}\)).
• Median: Middle number (n = 9, so 5th term). The data in order: 10,11,11,14,14,14,14,16,17. 5th term is 14.
• Mode: Most common number, 14 (appears 4 times).
• Range: Max - Min = \(17 - 10 = 7\). Wait, no: 17 - 10 = 7? Wait, 17 - 10 is 7? Wait, 17-10=7? Wait, 17 - 10 is 7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=7? Wait, 17-10=[SSE Completed, Client Connection Error][LLM SSE On Failure]