JOYFUL Fashion Company is reviewing the monthly sales in year 2021. each month were as below: The monthly sales (in millions) of Jan: $2.2 Feb: $2.5 Mar: $2.0 Apr: $2.8 May: $1.9 Jun: $0.9 Jul: $3.4 Aug: $3.7 Sep: $2.1 Oct: $2.5 Nov: $2.3 Dec: $4.6 (a) Find the mean, mode, standard deviation, and range of the above data. (b) Comment on the skewness of the above data. Explain your answer with the comparison of quartiles. The JOYFUL Fashion Company will issue a Gold Membership to customers with accumulated spending in January 2022 over 1% of 2021’s average monthly sales and a Platinum Membership to customers with accumulated spending in January 2022 over 1% of the 80th percentile of 2021’s monthly sales. (c) Mrs. Robinson has spent $27,450 in January 2022. Will she be qualified for the Gold Membership? Will she be qualified for the Platinum Membership? Explain your answers.
JOYFUL Fashion Company is reviewing the monthly sales in year 2021. each month were as below: The monthly sales (in millions) of Jan: $2.2 Feb: $2.5 Mar: $2.0 Apr: $2.8 May: $1.9 Jun: $0.9 Jul: $3.4 Aug: $3.7 Sep: $2.1 Oct: $2.5 Nov: $2.3 Dec: $4.6 (a) Find the mean, mode, standard deviation, and range of the above data. (b) Comment on the skewness of the above data. Explain your answer with the comparison of quartiles. The JOYFUL Fashion Company will issue a Gold Membership to customers with accumulated spending in January 2022 over 1% of 2021’s average monthly sales and a Platinum Membership to customers with accumulated spending in January 2022 over 1% of the 80th percentile of 2021’s monthly sales. (c) Mrs. Robinson has spent $27,450 in January 2022. Will she be qualified for the Gold Membership? Will she be qualified for the Platinum Membership? Explain your answers.
JOYFUL Fashion Company is reviewing the monthly sales in year 2021. each month were as below: The monthly sales (in millions) of Jan: $2.2 Feb: $2.5 Mar: $2.0 Apr: $2.8 May: $1.9 Jun: $0.9 Jul: $3.4 Aug: $3.7 Sep: $2.1 Oct: $2.5 Nov: $2.3 Dec: $4.6 (a) Find the mean, mode, standard deviation, and range of the above data. (b) Comment on the skewness of the above data. Explain your answer with the comparison of quartiles. The JOYFUL Fashion Company will issue a Gold Membership to customers with accumulated spending in January 2022 over 1% of 2021’s average monthly sales and a Platinum Membership to customers with accumulated spending in January 2022 over 1% of the 80th percentile of 2021’s monthly sales. (c) Mrs. Robinson has spent $27,450 in January 2022. Will she be qualified for the Gold Membership? Will she be qualified for the Platinum Membership? Explain your answers.
JOYFUL Fashion Company is reviewing the monthly sales in year 2021. each month were as below: The monthly sales (in millions) of Jan: $2.2 Feb: $2.5 Mar: $2.0 Apr: $2.8 May: $1.9 Jun: $0.9 Jul: $3.4 Aug: $3.7 Sep: $2.1 Oct: $2.5 Nov: $2.3 Dec: $4.6 (a) Find the mean, mode, standard deviation, and range of the above data. (b) Comment on the skewness of the above data. Explain your answer with the comparison of quartiles. The JOYFUL Fashion Company will issue a Gold Membership to customers with accumulated spending in January 2022 over 1% of 2021’s average monthly sales and a Platinum Membership to customers with accumulated spending in January 2022 over 1% of the 80th percentile of 2021’s monthly sales. (c) Mrs. Robinson has spent $27,450 in January 2022. Will she be qualified for the Gold Membership? Will she be qualified for the Platinum Membership? Explain your answers. (d) It is known that the average monthly sales from Jul 2020 to Dec 2020 were $1.9 millions. Find the average monthly sales from July 2020 to Dec 2021.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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