The following data represent the number of customer feedbacks a certain company receives in a month:

120, 100, 110, 120, 134, 118, 105, 110, 109, 112, 127, 118, 117, 116, 118, 122, 114, 114, 105, 109, 107, 112, 100, 115, 118, 117, 118, 132, 106, 110, 116, 108, 110, 121, 113, 120, 119, 111, 104, 112, 120, 113, 112, 117, 105, 110, 118, 112, 114, 114

Using the same data, provide the following:

a) Mean, median, mode
b) Standard deviation
c) Q1, Q3, D9, P10

(Note: Each part is worth 2 points, totaling 16 points.)

The mean is 113.4, the median is 114, and the mode is 118. The standard deviation is approximately 6.91. The lower quartile (Q1) is 112, the upper quartile (Q3) is 118. The 9th decile (D9) is 120, and the 10th percentile (P10) is 105.

Explanation:

To calculate the mean, add up all the values in the dataset and divide by the number of values. In this case, there are 50 values, so the sum is 5,670. Dividing by 50 gives a mean of 113.4.

To find the median, first arrange the values in ascending order: 100 100 104 105 105 106 107 108 109 109 110 110 110 110 111 112 112 112 113 113 114 114 114 114 115 116 116 117 117 117 118 118 118 118 119 120 120 120 121 122 127 132 134. Since there are 50 values, the median is the average of the 25th and 26th values, which are both 114.

The mode is the value that appears most frequently. In this case, the value 118 appears 6 times, which is more than any other value, so the mode is 118.

To calculate the standard deviation, first find the variance. Subtract the mean from each value, square the result, and sum up all the squared differences. Divide the sum by the number of values to get the variance. In this case, the variance is 47.64. Taking the square root of the variance gives a standard deviation of approximately 6.91.

To find the quartiles, first arrange the values in ascending order. The lower quartile (Q1) is the median of the lower half of the dataset, which is the average of the 13th and 14th values, both of which are 112. The upper quartile (Q3) is the median of the upper half of the dataset, which is the average of the 38th and 39th values, both of which are 118.

To find the deciles, first arrange the values in ascending order. The 9th decile (D9) is the value below which 90% of the data falls. In this case, it is the 45th value, which is 120. The 10th percentile (P10) is the value below which 10% of the data falls. In this case, it is the 5th value, which is 105.

Learn more about calculating measures of central tendency and dispersion here:

https://brainly.com/question/32900385

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