Question

PLEASE HELP PLEASE ANSER BEFORE THE 8TH OF MARCH

Hyato's family began a walking program. They walked 25, 45, 35, 30, 40, 40, and 30 minutes each day during one week.

Enter the interquartile range. The interquartile range is
? minutes.

Answer 1

Answer:37.5

Step-by-step explanation: you have to put them in order and then take the two number you get in the middle and add them and then divide them by 2

Answer 2

The interquartile range is 10 minutes.

Explanation:

To determine the interquartile range (IQR), we must find the values of quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

To find Q1 and Q3, first find the median (Q2) of the data. The median is the middle value when all data values are placed in order of size.

Order the data from least to greatest:

25, 30, 30, 35, 40, 40, 45

Therefore, the middle value is 35, so Q2 = 35.

As there are 7 data values in the data set, this is an odd data set.

Replace the middle value with "|":

25, 30, 30, | 40, 40, 45

Q1 is the median of the lower half of the data. Therefore, Q1 = 30.

Q3 is the median of the upper half of the data. Therefore, Q3 = 40.

Therefore, the interquartile range is:

`\begin{aligned}\implies\sf IQR&= \sf Q3 - Q1 \\&= \sf 40 - 30 \\&= \sf 10\end{aligned}`