{
"query": {
"display": "median $$3,\\:5,\\:2,\\:1,\\:4$$",
"symbolab_question": "STATISTICS#median 3,5,2,1,4"
},
"solution": {
"level": "PERFORMED",
"subject": "Statistics",
"topic": "median",
"subTopic": "Other",
"default": "3"
},
"steps": {
"type": "interim",
"title": "Median of $$3,\\:5,\\:2,\\:1,\\:4:{\\quad}3$$",
"steps": [
{
"type": "definition",
"title": "Median",
"text": "The median is the value separating the higher half of the data set, from the lower half.<br/>If the number of terms is odd, then the median is the middle element of the sorted set<br/>If the number of terms is even, then the median is the arithmetic mean of the two middle elements of the sorted set"
},
{
"type": "step",
"primary": "Arrange the terms in ascending order",
"result": "1,\\:2,\\:3,\\:4,\\:5"
},
{
"type": "interim",
"title": "Find the median of the ascending set:$${\\quad}3$$",
"steps": [
{
"type": "step",
"primary": "Count the number of terms in the data set",
"result": "\\begin{Bmatrix}1&2&3&4&5\\\\1&2&3&4&5\\end{Bmatrix}"
},
{
"type": "step",
"primary": "The number of terms in the data set is",
"result": "5"
},
{
"type": "step",
"primary": "Since the number of terms is odd, the median is the middle element of the sorted set.",
"result": "3"
}
],
"meta": {
"interimType": "Get Median From Ascending List 0Eq"
}
},
{
"type": "step",
"result": "3"
}
]
}
}
Solution
median
Solution
Solution steps
Arrange the terms in ascending order
Find the median of the ascending set:
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Frequently Asked Questions (FAQ)
What is the median of 3,5,2,1,4 ?
The median of 3,5,2,1,4 is 3