Tag: frequency table

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Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

Find a 9596 confidence interval for the population mean from the following data:

Sample size n = 65, Mean = 6300, Standard deviation = 9.5, N=1000.

  1. (6298 - 6302)

  2. (6301 - 6308)

  3. (6290 - 4310)

  4. (6288 - 6315)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The confidence interval is calculated as mean +/- Z * (standard error). For a 95% confidence interval, Z is approximately 1.96. Standard error = 9.5 / sqrt(65) is approx 1.18. 1.96 * 1.18 is approx 2.3. 6300 +/- 2.3 gives 6297.7 to 6302.3, which rounds to 6298-6302.

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

What are the shortcomings of frequency distribution?

  1. it does not show the details that are found in raw data

  2. Once the data are grouped into classes, an individual observation has no significance in further statistical calculations

  3. Statistical calculations are based only on the values of the class mark and not on the values of the observations in that class

  4. All of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

All listed options are recognized limitations of grouped frequency distributions, as they involve loss of individual data precision.

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

A tabular summary of a set of data showing classes of the data and the fraction of the items belonging to each class is called ______________.

  1. the class width

  2. a relative frequency distribution

  3. a cumulative relative frequency distribution

  4. on ogive
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A relative frequency distribution shows the fraction or proportion of total items that fall into each class.

Multiple choice data handling analysis analysis of frequency distributions frequency table evs analysing data collection of data and presentation of data

In a truly normal frequency distribution _________.

  1. the mean always is the same as the standard deviation

  2. the mean is never the same as the mode

  3. the mode is never the same as the median

  4. the mean always is the same as the median
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In a perfectly normal distribution, the curve is symmetrical, meaning the mean, median, and mode are all located at the same central point. Options A, B, and C are incorrect because they contradict the fundamental symmetry of the normal distribution.