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Digital SAT Math: One-variable data-Practice Questions

Digital SAT Math: One-variable data-Practice Questions - New Syllabus

DSAT MAth Practice questions – all topics

  • Problem-solving and Data Analysis Weightage: 15%  Questions: 5-7
    • Ratios, rates, proportional relationships, and units
    • Percentages
    • One-variable data: distributions and measures of centre and spread
    • Two-variable data: models and scatterplots
    • Probability and conditional probability
    • Inference from sample statistics and margin of error
    • Evaluating statistical claims: observational studies and Experiments

DSAT MAth and English  – full syllabus practice tests

Question Easy

The table below shows the high and low temperatures in Houston, Texas, during a five-day period.

Table of Temperatures in Houston

What was the mean low temperature, in degrees Fahrenheit, during the five-day period?

A. 48.8

B. 49

C. 59

D. 59.1

▶️ Answer/Explanation
Solution

Ans: A

Low temperatures: 49, 37, 41, 54, 63.

Sum: \( 49 + 37 + 41 + 54 + 63 = 244 \).

Mean: \( \frac{244}{5} = 48.8 \).

 Question  Easy

Which of the following dot plots, each with 9 data values, represents a data set with a median value that is less than 70 ?

▶️Answer/Explanation

Ans:C

To determine which dot plot represents a data set with a median value less than 70, we need to understand the concept of the median and analyze each dot plot. The median is the middle value when the data values are arranged in ascending order.

Given that each dot plot has 9 data values, the median will be the 5th value when the values are arranged in order.

Let’s analyze each dot plot:

Dot Plot A:

Data values: 55, 55, 55, 65, 70, 75, 75, 75, 80

  • Median (5th value): 70

Dot Plot B:

Data values: 55, 60, 65, 70, 75, 80, 80, 85, 85

  • Median (5th value): 75

Dot Plot C:

Data values: 60, 60, 60, 65, 65, 70, 80, 80, 80

  • Median (5th value):65

Dot Plot D:

Data values: 65, 65, 65, 70, 70, 75, 80, 85, 85

  • Median (5th value): 70
Question Easy

The table below shows the number of students from two different high schools who completed summer internships in each of five years:

YearFoothill High SchoolValley High SchoolTotal
20088744131
20098054134
20107565140
20117676152
20127082152

No student attended both schools. Which of the following statements are true about the number of students who completed summer internships for the 5 years shown?

I. The mean number from Foothill High School is greater than the mean number from Valley High School.

II. The median number from Foothill High School is greater than the median number from Valley High School.

A. I only

B. II only

C. I and II

D. Neither I nor II

▶️ Answer/Explanation
Solution

Ans: C

Foothill: 87, 80, 75, 76, 70. Mean: \( \frac{388}{5} = 77.6 \). Median (ordered: 70, 75, 76, 80, 87): 76.

Valley: 44, 54, 65, 76, 82. Mean: \( \frac{321}{5} = 64.2 \). Median (ordered: 44, 54, 65, 76, 82): 65.

I: \( 77.6 > 64.2 \), true.

II: \( 76 > 65 \), true.

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