Question

Unit sales for new product ABC have varied in the first seven months of this year as follows:

Month | Jan | Feb | Mar | Apr | May | Jun | Jul |
---|---|---|---|---|---|---|---|

Unit Sales | 145 | 492 | 319 | 265 | 389 | 321 | 180 |

**What is the (population) standard deviation of the
data?**

Please round your answer to the nearest integer.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

Answer #1

Solution:

The formulas for mean, variance, and standard deviation for sample are given as below:

Population Mean = µ = ∑ X/n

Population Variance =
σ^{2} = ∑[ (X -
mean)^2]/n

Population Standard deviation = σ = Sqrt(S^{2}) =
Sqrt(Variance)

The calculation table is given as below:

Month |
X |
(X - mean)^2 |

1 |
145 |
24514.6033 |

2 |
492 |
36263.0517 |

3 |
319 |
303.756098 |

4 |
265 |
1337.467298 |

5 |
389 |
7643.760098 |

6 |
321 |
377.470498 |

7 |
180 |
14779.6053 |

Total |
2111 |
85219.71429 |

From above table, we have

n = 7

Population Mean = µ = 2111/7 = 301.5714

Population Variance =
σ^{2} = 85219.71429/7 = 12174.2449

Population Standard deviation = σ = Sqrt(12174.2449) = 110.3369607

**What is the (population)
standard deviation of the data?**

**Answer:** **110**

(Rounded to nearest integer)

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
145
492
319
265
389
321
180
What is the (population) Pearson's coefficient of
skewness of the data?
Please round your answer to the nearest hundredth.

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
145
492
319
265
389
321
180
What is the interquartile range (IQR) of the
data?
Please specify your answer as an integer.
Note: Use the following formula to find quartile locations:
Lq=(n+1)⋅(q4)Lq=(n+1)⋅(q4)
where q is the quartile index (e.g., q=1 for the first quartile)
and n is the number of data...

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
385
419
227
193
283
137
419
What is the (population) standard deviation of the
data?
Please round your answer to the nearest integer.
Note that the correct answer will be evaluated based on the
full-precision result you would obtain using Excel.

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
295
218
374
365
281
234
304
What is the (sample) skewness of the data?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the
full-precision result you would obtain using Excel.

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
385
419
227
193
283
137
419
What is the (population) Pearson's coefficient of
skewness of the data?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the
full-precision result you would obtain using Excel.

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
132
284
271
469
143
175
230
What is the (population) Pearson's coefficient of
skewness of the data?
Please round your answer to the nearest hundredth.
Note that the correct answer will be evaluated based on the
full-precision result you would obtain using Excel.

Unit sales for new product ABC have varied in the first seven
months of this year as follows: Month Jan Feb Mar Apr May Jun Jul
Unit Sales 295 218 374 365 281 234 304 What is the (population)
variance of the data? Please round your answer to the nearest
integer.

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
314
285
158
482
284
310
281
What is the interquartile range (IQR) of the
data?
Please specify your answer as an integer.

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
295
218
374
365
281
234
304
What is the (sample) skewness of the data?
Please round your answer to the nearest hundredth.

Unit sales for new product ABC have varied in the first seven
months of this year as follows:
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Unit Sales
432
168
192
417
272
386
410
What is the interquartile range (IQR) of the
data?
Please specify your answer as an integer.
Note: Use the following formula to find quartile locations:
Lq=(n+1)⋅(q4)Lq=(n+1)⋅(q4)
where q is the quartile index (e.g., q=1 for the first quartile)
and n is the number of data...

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