Prepare a frequency distribution with class intervals: less than or equal to 90, 90-110, 110-120, more than or equal to 120.
Answer (2)
To create a frequency distribution, we first organize the data into specified class intervals and count how many data points fall into each interval.
Given class intervals:
Less than or equal to 90
90-110
110-120
More than or equal to 120
Let's define these intervals and count the number of student IQs that fall within each range:
Less than or equal to 90 : This will include IQ scores that are less than or equal to 90. From the data provided, the scores in this range are 65 and 93 (since 93 should not be included, as it's greater than 90, the correct count is 1). Therefore, there is 1 student in this interval.
90-110 : This includes IQ scores greater than 90 and up to 110. Scores in this range are 103, 105, 99, 100, 100, 108, 100, 99, 109, 98, 103, 98, 101, and 105. The total count is 14.
110-120 : This includes IQ scores greater than 110 and up to 120. Scores in this range are 112, 118, 112, 116, 120, 112, and 110. The total count is 7.
More than or equal to 120 : This will include IQ scores of 120 and above. Scores in this range are 120, 120, and 139. The total count is 3.
We can now put this information into a frequency distribution table:
Class IntervalFrequencyLess than or equal to 90190 - 11014110 - 1207More than or equal to 1203
The above table provides a clear frequency distribution of the given IQ data based on the specified class intervals.
A frequency distribution table is created by organizing data into specified class intervals and counting the number of entries in each range. For the intervals provided, the counts indicate how the data is distributed across each range. This helps in understanding the concentration of data points within specified limits.
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