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36, 45, 26, 35.5, 44, 39, 43.5, 45.5, 41, 35.5, 31.5, 40.5, 49, 35, 32, 28.5, 26.5, 25, 35.5, 27, 28.5, 11, 3.5, 12.5, 14, 22.5, 24, 49, 52.5, 40, 47

waht is the Qv1 value?

11 answers

To find the Q1 value (the first quartile) in a set of data, you need to first put the data in order from smallest to largest.

After sorting the data, the 25th percentile value will be the Q1 value. In this case, the data is sorted as follows:

3.5, 11, 12.5, 14, 22.5, 24, 25, 26, 26.5, 27, 28.5, 28.5, 31.5, 32, 35, 35.5, 35.5, 35.5, 39, 40, 40.5, 41, 43.5, 44, 45, 45, 47, 49, 49, 52.5

The 25th percentile value is 26.5, so the Q1 value for this set of data is 26.5.
what is the Q3 value
To find the Q3 value (the third quartile) in a set of data, you need to put the data in order from smallest to largest.

After sorting the data, the 75th percentile value will be the Q3 value. In this case, the data is sorted as follows:

3.5, 11, 12.5, 14, 22.5, 24, 25, 26, 26.5, 27, 28.5, 28.5, 31.5, 32, 35, 35.5, 35.5, 35.5, 39, 40, 40.5, 41, 43.5, 44, 45, 45, 47, 49, 49, 52.5

The 75th percentile value is 45. So, the Q3 value for this set of data is 45.
what is the iqr value
To find the interquartile range (IQR) in a set of data, you need to calculate the difference between the Q3 value (third quartile) and the Q1 value (first quartile).

From the previous answers:
Q1 = 26.5
Q3 = 45

IQR = Q3 - Q1
IQR = 45 - 26.5
IQR = 18.5

Therefore, the interquartile range (IQR) for this set of data is 18.5.
75% of the data is above what value
75% of the data is above the Q1 value, which is 26.5 in this case. So, 75% of the data is above 26.5.
75% of the data is below what value?
75% of the data is below the Q3 value, which is 45 in this case. So, 75% of the data is below 45.
50% of data is between what values
50% of the data is between the Q1 value and the Q3 value.

Q1 = 26.5
Q3 = 45

So, 50% of the data is between 26.5 and 45.