The number of phone calls received by four participants in a study are asfollows 2, 12, 5 and 7. Let x denotes the number of calls received.10. **Find ∑xA. 676B. 52C. 26D. 22211. **Find (∑x)²A. 26B. 52C. 676D. 22212. **Find ∑x²A. 222B. 676C. 26D. 5213. Which of the following is NOT true of a bar graphA. The height of the bars represents the frequency of the categories.B. Categories are marked on the horizontal axis.C. The bars are drawn adjacent to each other.D. Frequencies are marked on the vertical axis.14. A data set containing information on each member of a sampleor population is known asA. organised dataB. grouped dataC. census dataD. ungrouped data15. Raw data is BEST defined asA. Unprocessed information that has not been recorded or collected.B. Processed information that has not been interpreted.C. Unprocessed information recorded in the sequence in which it wascollected.D. Processed information that has been interpreted.
Question
The number of phone calls received by four participants in a study are asfollows 2, 12, 5 and 7. Let x denotes the number of calls received.10. **Find ∑xA. 676B. 52C. 26D. 22211. **Find (∑x)²A. 26B. 52C. 676D. 22212. **Find ∑x²A. 222B. 676C. 26D. 5213. Which of the following is NOT true of a bar graphA. The height of the bars represents the frequency of the categories.B. Categories are marked on the horizontal axis.C. The bars are drawn adjacent to each other.D. Frequencies are marked on the vertical axis.14. A data set containing information on each member of a sampleor population is known asA. organised dataB. grouped dataC. census dataD. ungrouped data15. Raw data is BEST defined asA. Unprocessed information that has not been recorded or collected.B. Processed information that has not been interpreted.C. Unprocessed information recorded in the sequence in which it wascollected.D. Processed information that has been interpreted.
Solution
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To find ∑x, you simply add up all the values of x. In this case, x represents the number of calls received by each participant. So, ∑x = 2 + 12 + 5 + 7 = 26. Therefore, the answer is C. 26.
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To find (∑x)², you square the sum of all the values of x. From the previous step, we know that ∑x = 26. Therefore, (∑x)² = 26² = 676. So, the answer is C. 676.
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To find ∑x², you square each individual value of x and then add them all up. So, ∑x² = 2² + 12² + 5² + 7² = 4 + 144 + 25 + 49 = 222. Therefore, the answer is A. 222.
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All of the statements about a bar graph are true except for C. The bars in a bar graph are not necessarily drawn adjacent to each other. There can be space between the bars to indicate that the categories are distinct. So, the answer is C.
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A data set containing information on each member of a sample or population is known as D. ungrouped data.
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Raw data is best defined as C. Unprocessed information recorded in the sequence in which it was collected.
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