select the correct answer.

which data set has the greatest spread?

set a - {84, 91, 87, 77, 94, 89, 74}
set b - {89, 73, 84, 91, 87, 77, 94}
set c - {73, 84, 89, 88, 77, 91, 87, 90}
set d - {84, 89, 88, 82, 91, 87, 99}

set a
set b
set c
set d

Question

select the correct answer.

which data set has the greatest spread?

set a - {84, 91, 87, 77, 94, 89, 74}
set b - {89, 73, 84, 91, 87, 77, 94}
set c - {73, 84, 89, 88, 77, 91, 87, 90}
set d - {84, 89, 88, 82, 91, 87, 99}

set a
set b
set c
set d

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Range of Data" ], "new_concepts": [], "current_concepts": [ "Range of Data" ] } ## Calculate the range for each data set $$ \begin{aligned} &\text{Range} = \text{Maximum value} - \text{Minimum value} \ &\text{Set A}: \{84, 91, 87, 77, 94, 89, 74\} \implies \text{Max} = 94, \text{Min} = 74 \implies \text{Range} = 94 - 74 = 20 \ &\text{Set B}: \{89, 73, 84, 91, 87, 77, 94\} \implies \text{Max} = 94, \text{Min} = 73 \implies \text{Range} = 94 - 73 = 21 \ &\text{Set C}: \{73, 84, 89, 88, 77, 91, 87, 90\} \implies \text{Max} = 91, \text{Min} = 73 \implies \text{Range} = 91 - 73 = 18 \ &\text{Set D}: \{84, 89, 88, 82, 91, 87, 99\} \implies \text{Max} = 99, \text{Min} = 82 \implies \text{Range} = 99 - 82 = 17 \end{aligned} $$ ## Compare the ranges to find the greatest spread $$ \begin{aligned} &\text{Spread(Set B)} = 21 > \text{Spread(Set A)} = 20 > \text{Spread(Set C)} = 18 > \text{Spread(Set D)} = 17 \end{aligned} $$

Set A

Set B

Set C

Set D

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Range of Data" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Calculate the range for each data set

Compare the ranges to find the greatest spread

Answer: