the value of q1 is 23 and interquartile range is 20 the value of q3 is
Answers
Step-by-step explanation:
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Answer:
The value of Q₃ = 43
Step-by-step explanation:
Given,
The first quartile (Q₁) = 23
Interquartile range = 20
To find,
The value of the third quartile(Q₃)
Solution:
The interquartile range is the difference between the first and third quartiles.
The quartiles of data in statistics are the set of three values that divides the data into four equal parts
The first quartile is that point in a data such that 25% of the data points lie below it and 75% of the data points lie above it when the data points are arranged in ascending order
The third quartile is that point in data such that 75% of the data points lie below it and 25% of the data points lie above it when the data points are arranged in ascending order.
We have,
Interquartile range = third quartile - first quartile
Interquartile range = Q₃ - Q₁
Substituting the given values, we get
20 = Q₃ - 23
Q₃ = 20+23
=43
∴ The value of Q₃ = 43
SPJ2