QuestionWhat is the 50th percentile of the dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00? a. 2.40 b. 3.60 c. 4.45 d. 4.50
Studdy Solution
STEP 1
Assumptions1. The dataset is ordered from smallest to largest.
. The50th percentile, also known as the median, is the value that separates the lower half from the upper half of the data.
3. If the dataset has an odd number of observations, the median is the middle value.
4. If the dataset has an even number of observations, the median is the average of the two middle values.
STEP 2
First, we need to find out the total number of observations in the dataset.The dataset provided has10 observations.
STEP 3
Since the dataset has an even number of observations, we need to find the average of the two middle values. The two middle values are the5th and6th observations in the ordered dataset.
STEP 4
Identify theth and6th observations in the dataset.
Theth observation is4.50 and the6th observation is.56.
STEP 5
Calculate the average of the5th andth observations.
STEP 6
Plug in the values for the5th and6th observations to calculate the median.
STEP 7
Calculate the median value.
The50th percentile of the dataset is5.03. However, this value is not in the provided options. Therefore, none of the options (a.2.40, b.3.60, c.4.45, d.4.50) represents the50th percentile of the dataset.
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