company manufactures car batteries of a particular type. The lives (in years) of 35 such
batteries were recorded as follows:
2.6 3.0 3.7 3.2 4.1 3.5 3.5 3.2 3.4 3.8 3.2 4.6 3.7 2.5 3.4 3.3 2.9 4.3
2.8 3.5 3.2 3.9 3.2 3.1 3.2 3.7 3.4 3.8 3.2 2.6 3.5 4.2 2.9 3.6 3.0
Construct a grouped frequency distribution table for this data, using class interval of size
0.5
starting from the interval 2.5-3.0.
Answers
Answer:
Life (in years)
Number of batteries
2.0-2.5 2
2.5-3.0 6
3.0-3.5 14
3.5-4.0 11
4.0-4.5 4
4.5-5.0 3
Given is the life of 40 batteries in years.
We know that a grouped frequency distribution table has class-intervals or groups and their corresponding frequencies.
It is given that the class size needs to be 0.5 and the class intervals must start with 2−2.5.
Also, 4.6 is the highest value in the given data.
Hence, our class intervals will be 2−2.5, 2.5−3, 3−3.5, 3.5−4, 4−4.5 and 4.5−5.
Also, the classes are exclusive. It means the upper limit of a class is excluded from that class (and is included in the next class).
So, the grouped frequency distribution table for the given data will be as shown above.
Step-by-step explanation:
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