Studdy AI Logo
Math  /  Data & Statistics

QuestionFind the median of the following data set. Assume the data set is a sample. 38,51,34,40,45,41,53,47,46,33,40,4238,51,34,40,45,41,53,47,46,33,40,42
Answer How to enter your answer (opens in new window)

Studdy Solution

STEP 1

1. The data set is a sample containing twelve data points: 38,51,34,40,45,41,53,47,46,33,40,4238, 51, 34, 40, 45, 41, 53, 47, 46, 33, 40, 42.
2. The median of a set with an even number of elements is the average of the two middle values.

STEP 2

1. Order the data points.
2. Determine the two middle values in the ordered list.
3. Calculate the median by averaging the two middle values.

STEP 3

List the data points:
38,51,34,40,45,41,53,47,46,33,40,42 38, 51, 34, 40, 45, 41, 53, 47, 46, 33, 40, 42

STEP 4

Order the data points:
33,34,38,40,40,41,42,45,46,47,51,53 33, 34, 38, 40, 40, 41, 42, 45, 46, 47, 51, 53

STEP 5

Identify the two middle values in the ordered list. For 12 values, the middle values are the 6th and 7th values:
41and42 41 \quad \text{and} \quad 42

STEP 6

Calculate the median by averaging the two middle values:
Median=41+422=832=41.5\text{Median} = \frac{41 + 42}{2} = \frac{83}{2} = 41.5
The median is:
41.5 \boxed{41.5}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord